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2010211220112 = 2433711338326153
BaseRepresentation
bin11101010000001001111…
…011001111101010010000
321010011201002001120121120
4131100021323033222100
5230413403033020422
64135251150522240
7265142623305054
oct35201173175220
97104632046546
102010211220112
11705586911677
12285713806380
1311773cc36b54
146d41aab5c64
15374546ae45c
hex1d409ecfa90

2010211220112 has 160 divisors (see below), whose sum is σ = 5394851278848. Its totient is φ = 644479008768.

The previous prime is 2010211220107. The next prime is 2010211220119. The reversal of 2010211220112 is 2110221120102.

It is a junction number, because it is equal to n+sod(n) for n = 2010211220091 and 2010211220100.

It is not an unprimeable number, because it can be changed into a prime (2010211220119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76850428 + ... + 76876580.

Almost surely, 22010211220112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010211220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2697425639424).

2010211220112 is an abundant number, since it is smaller than the sum of its proper divisors (3384640058736).

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

2010211220112 is a wasteful number, since it uses less digits than its factorization.

2010211220112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26697 (or 26691 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2010211220112 its reverse (2110221120102), we get a palindrome (4120432340214).

The spelling of 2010211220112 in words is "two trillion, ten billion, two hundred eleven million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 113 148 222 226 296 339 383 444 452 592 678 766 888 904 1149 1356 1532 1776 1808 2298 2712 3064 4181 4596 5424 6128 8362 9192 12543 14171 16724 18384 25086 26153 28342 33448 42513 43279 50172 52306 56684 66896 78459 85026 86558 100344 104612 113368 129837 156918 170052 173116 200688 209224 226736 259674 313836 340104 346232 418448 519348 627672 680208 692464 967661 1038696 1255344 1601323 1935322 2077392 2902983 2955289 3202646 3870644 4803969 5805966 5910578 6405292 7741288 8865867 9607938 10016599 11611932 11821156 12810584 15482576 17731734 19215876 20033198 23223864 23642312 25621168 30049797 35463468 38431752 40066396 46447728 47284624 60099594 70926936 76863504 80132792 109345693 120199188 141853872 160265584 218691386 240398376 328037079 370614163 437382772 480796752 656074158 741228326 874765544 1111842489 1131875687 1312148316 1482456652 1749531088 2223684978 2263751374 2624296632 2964913304 3395627061 4447369956 4527502748 5248593264 5929826608 6791254122 8894739912 9055005496 13582508244 17789479824 18110010992 27165016488 41879400419 54330032976 83758800838 125638201257 167517601676 251276402514 335035203352 502552805028 670070406704 1005105610056 2010211220112