Search a number
-
+
11210111000112 = 2432937534106701
BaseRepresentation
bin1010001100100000111010…
…1011110001111000110000
31110200200020220120101110110
42203020032223301320300
52432131301404000422
635501504235301320
72234622000210633
oct243101653617060
943620226511413
1011210111000112
1136321aa45a152
1213107175aa840
1363415542601b
142aa802431c1a
1514690261560c
hexa320eaf1e30

11210111000112 has 160 divisors (see below), whose sum is σ = 31348263314880. Its totient is φ = 3444108595200.

The previous prime is 11210111000111. The next prime is 11210111000129. The reversal of 11210111000112 is 21100011101211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (11210111000111) 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, 676362 + ... + 4783062.

It is an arithmetic number, because the mean of its divisors is an integer number (195926645718).

Almost surely, 211210111000112 is an apocalyptic number.

11210111000112 is a gapful number since it is divisible by the number (12) 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 11210111000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15674131657440).

11210111000112 is an abundant number, since it is smaller than the sum of its proper divisors (20138152314768).

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

11210111000112 is a wasteful number, since it uses less digits than its factorization.

11210111000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4106831 (or 4106825 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 11210111000112 its reverse (21100011101211), we get a palindrome (32310122101323).

The spelling of 11210111000112 in words is "eleven trillion, two hundred ten billion, one hundred eleven million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 29 37 48 53 58 74 87 106 111 116 148 159 174 212 222 232 296 318 348 424 444 464 592 636 696 848 888 1073 1272 1392 1537 1776 1961 2146 2544 3074 3219 3922 4292 4611 5883 6148 6438 7844 8584 9222 11766 12296 12876 15688 17168 18444 23532 24592 25752 31376 36888 47064 51504 56869 73776 94128 113738 170607 227476 341214 454952 682428 909904 1364856 2729712 4106701 8213402 12320103 16426804 24640206 32853608 49280412 65707216 98560824 119094329 151947937 197121648 217655153 238188658 303895874 357282987 435310306 455843811 476377316 607791748 652965459 714565974 870620612 911687622 952754632 1215583496 1305930918 1429131948 1741241224 1823375244 1905509264 2431166992 2611861836 2858263896 3482482448 3646750488 4406490173 5223723672 5716527792 6311999437 7293500976 8053240661 8812980346 10447447344 12623998874 13219470519 16106481322 17625960692 18935998311 24159721983 25247997748 26438941038 32212962644 35251921384 37871996622 48319443966 50495995496 52877882076 64425925288 70503842768 75743993244 96638887932 100991990992 105755764152 128851850576 151487986488 193277775864 211511528304 233543979169 302975972976 386555551728 467087958338 700631937507 934175916676 1401263875014 1868351833352 2802527750028 3736703666704 5605055500056 11210111000112