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111112002092 = 227132293126119
BaseRepresentation
bin110011101111011001…
…0101001101000101100
3101121210120211112110202
41213132302221220230
53310024133031332
6123013311453032
711012313302030
oct1473662515054
9347716745422
10111112002092
1143138912803
121964b227178
13a6299c0800
145540b681c0
152d54a4ea62
hex19deca9a2c

111112002092 has 144 divisors (see below), whose sum is σ = 256970649600. Its totient is φ = 41070032640.

The previous prime is 111112002047. The next prime is 111112002101. The reversal of 111112002092 is 290200211111.

It is a super-2 number, since 2×1111120020922 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4241009 + ... + 4267127.

It is an arithmetic number, because the mean of its divisors is an integer number (1784518400).

Almost surely, 2111112002092 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 111112002092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128485324800).

111112002092 is an abundant number, since it is smaller than the sum of its proper divisors (145858647508).

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

111112002092 is a wasteful number, since it uses less digits than its factorization.

111112002092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26216 (or 26201 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 20.

The spelling of 111112002092 in words is "one hundred eleven billion, one hundred twelve million, two thousand, ninety-two".

Divisors: 1 2 4 7 13 14 26 28 29 31 52 58 62 91 116 124 169 182 203 217 338 364 377 403 406 434 676 754 806 812 868 899 1183 1508 1612 1798 2366 2639 2821 3596 4732 4901 5239 5278 5642 6293 9802 10478 10556 11284 11687 12586 19604 20956 23374 25172 26119 34307 36673 46748 52238 68614 73346 81809 104476 137228 146692 151931 163618 182833 303862 327236 339547 365666 607724 679094 731332 757451 809689 1063517 1358188 1514902 1619378 2127034 2376829 3029804 3238756 4254068 4414111 4753658 5302157 5667823 8828222 9507316 9846863 10525957 10604314 11335646 17656444 19693726 21051914 21208628 22671292 23480981 30898777 39387452 42103828 46961962 61797554 68928041 73681699 93923924 123595108 128009219 136837441 137856082 147363398 164366867 256018438 273674882 275712164 294726796 305252753 328733734 512036876 547349764 610505506 657467468 896064533 957862087 1221011012 1792129066 1915724174 2136769271 3584258132 3831448348 3968285789 4273538542 7936571578 8547077084 15873143156 27778000523 55556001046 111112002092