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210210011112112 = 241143251719153911
BaseRepresentation
bin101111110010111101010101…
…000010100110001010110000
31000120021212210002211011222021
4233302331111002212022300
5210023040100321041422
62023025051305321224
762164113015661654
oct5762752502461260
91016255702734867
10210210011112112
1160a85624122240
121b6b0137496214
13903a94681483b
1439ca30c64aa64
1519480a12abdc7
hexbf2f550a62b0

210210011112112 has 160 divisors (see below), whose sum is σ = 457089384407040. Its totient is φ = 92826199200000.

The previous prime is 210210011112089. The next prime is 210210011112149. The reversal of 210210011112112 is 211211110012012.

210210011112112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1365712437 + ... + 1365866347.

It is an arithmetic number, because the mean of its divisors is an integer number (2856808652544).

Almost surely, 2210210011112112 is an apocalyptic number.

210210011112112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210210011112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228544692203520).

210210011112112 is an abundant number, since it is smaller than the sum of its proper divisors (246879373294928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

210210011112112 is a wasteful number, since it uses less digits than its factorization.

210210011112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154943 (or 154937 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 210210011112112 its reverse (211211110012012), we get a palindrome (421421121124124).

The spelling of 210210011112112 in words is "two hundred ten trillion, two hundred ten billion, eleven million, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 43 44 86 88 172 176 251 344 473 502 688 719 946 1004 1438 1892 2008 2761 2876 3784 4016 5522 5752 7568 7909 10793 11044 11504 15818 21586 22088 30917 31636 43172 44176 61834 63272 86344 118723 123668 126544 153911 172688 180469 237446 247336 307822 340087 360938 474892 494672 615644 680174 721876 949784 1231288 1360348 1443752 1693021 1899568 1985159 2462576 2720696 2887504 3386042 3970318 5441392 6618173 6772084 7760167 7940636 13236346 13544168 15520334 15881272 26472692 27088336 31040668 31762544 38631661 52945384 62081336 72799903 77263322 85361837 105890768 110662009 124162672 145599806 154526644 170723674 221324018 291199612 309053288 341447348 424948271 442648036 582399224 618106576 682894696 849896542 885296072 1164798448 1217282099 1365789392 1661161423 1699793084 1770592144 2434564198 3322322846 3399586168 4758466387 4869128396 6644645692 6799172336 9516932774 9738256792 13289291384 18272775653 19033865548 19476513584 26578582768 27776164259 36545551306 38067731096 52343130257 55552328518 73091102612 76135462192 104686260514 111104657036 146182205224 209372521028 222209314072 292364410448 305537806849 418745042056 444418628144 611075613698 837490084112 1194375063137 1222151227396 2388750126274 2444302454792 4777500252548 4888604909584 9555000505096 13138125694507 19110001010192 26276251389014 52552502778028 105105005556056 210210011112112