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212102021001112 = 2311210114827146317
BaseRepresentation
bin110000001110011111011001…
…100111100010111110011000
31000210222202101112012222221121
4300032133121213202332120
5210300034414334013422
62031034153455415024
762450602543456204
oct6016373147427630
91023882345188847
10212102021001112
1161644a64404300
121b956961824474
13914719a0a9538
143a53b14c27b04
15197c3d88598c7
hexc0e7d99e2f98

212102021001112 has 96 divisors (see below), whose sum is σ = 441492576330960. Its totient is φ = 95448364704000.

The previous prime is 212102021001109. The next prime is 212102021001139. The reversal of 212102021001112 is 211100120201212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1449532978 + ... + 1449679294.

Almost surely, 2212102021001112 is an apocalyptic number.

212102021001112 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 212102021001112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220746288165480).

212102021001112 is an abundant number, since it is smaller than the sum of its proper divisors (229390555329848).

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

212102021001112 is a wasteful number, since it uses less digits than its factorization.

212102021001112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161273 (or 161258 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 212102021001112 its reverse (211100120201212), we get a palindrome (423202141202324).

It can be divided in two parts, 2121020 and 21001112, that added together give a palindrome (23122132).

The spelling of 212102021001112 in words is "two hundred twelve trillion, one hundred two billion, twenty-one million, one thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 101 121 202 242 404 484 808 968 1111 2222 4444 8888 12221 14827 24442 29654 48884 59308 97768 118616 146317 163097 292634 326194 585268 652388 1170536 1304776 1497527 1609487 1794067 2995054 3218974 3588134 5990108 6437948 7176268 11980216 12875896 14352536 14778017 16472797 17704357 29556034 32945594 35408714 59112068 65891188 70817428 118224136 131782376 141634856 162558187 181200767 325116374 362401534 650232748 724803068 1300465496 1449606136 1788140057 2169442159 3576280114 4338884318 7152560228 8677768636 14305120456 17355537272 23863863749 47727727498 95455454996 190910909992 219113658059 262502501239 438227316118 525005002478 876454632236 1050010004956 1752909264472 2100020009912 2410250238649 4820500477298 9641000954596 19282001909192 26512752625139 53025505250278 106051010500556 212102021001112