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221010120112112 = 24196750232160233
BaseRepresentation
bin110010010000000111101101…
…101100110111011111110000
31001222112100202021021221200022
4302100013231230313133300
5212432012211222041422
62102014351511143012
764360311543536462
oct6220075554673760
91058470667257608
10221010120112112
11644699580992a1
12209552aa074a68
13964221b391866
143c80d38396132
151a83ea8d73342
hexc901edb377f0

221010120112112 has 80 divisors (see below), whose sum is σ = 457563138370560. Its totient is φ = 103105903228416.

The previous prime is 221010120112109. The next prime is 221010120112147. The reversal of 221010120112112 is 211211021010122.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101228348 + ... + 103388580.

It is an arithmetic number, because the mean of its divisors is an integer number (5719539229632).

Almost surely, 2221010120112112 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 221010120112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228781569185280).

221010120112112 is an abundant number, since it is smaller than the sum of its proper divisors (236553018258448).

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

221010120112112 is a wasteful number, since it uses less digits than its factorization.

221010120112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2165350 (or 2165344 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 221010120112112 its reverse (211211021010122), we get a palindrome (432221141122234).

The spelling of 221010120112112 in words is "two hundred twenty-one trillion, ten billion, one hundred twenty million, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 38 67 76 134 152 268 304 536 1072 1273 2546 5023 5092 10046 10184 20092 20368 40184 80368 95437 190874 336541 381748 673082 763496 1346164 1526992 2160233 2692328 4320466 5384656 6394279 8640932 12788558 17281864 25577116 34563728 41044427 51154232 82088854 102308464 144735611 164177708 289471222 328355416 578942444 656710832 1157884888 2315769776 2749976609 5499953218 10850850359 10999906436 21701700718 21999812872 43403401436 43999625744 86806802872 173613605744 206166156821 412332313642 727006974053 824664627284 1454013948106 1649329254568 2908027896212 3298658509136 5816055792424 11632111584848 13813132507007 27626265014014 55252530028028 110505060056056 221010120112112