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111100120092 = 2232132316576229
BaseRepresentation
bin110011101111000010…
…1010100110000011100
3101121202202110212102200
41213132011110300130
53310013112320332
6123012205051500
711012110303443
oct1473605246034
9347682425380
10111100120092
1143132137675
1219647256b90
13a6273c0440
14553d353d5a
152d539a417c
hex19de154c1c

111100120092 has 144 divisors (see below), whose sum is σ = 315829899840. Its totient is φ = 32673383424.

The previous prime is 111100120073. The next prime is 111100120099. The reversal of 111100120092 is 290021001111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111100120099) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17832834 + ... + 17839062.

Almost surely, 2111100120092 is an apocalyptic number.

111100120092 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 111100120092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157914949920).

111100120092 is an abundant number, since it is smaller than the sum of its proper divisors (204729779748).

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

111100120092 is a wasteful number, since it uses less digits than its factorization.

111100120092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7932 (or 7927 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The spelling of 111100120092 in words is "one hundred eleven billion, one hundred million, one hundred twenty thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 36 39 46 52 69 78 92 117 138 156 207 234 276 299 414 468 598 828 897 1196 1657 1794 2691 3314 3588 4971 5382 6229 6628 9942 10764 12458 14913 18687 19884 21541 24916 29826 37374 38111 43082 56061 59652 64623 74748 76222 80977 86164 112122 114333 129246 143267 152444 161954 193869 224244 228666 242931 258492 286534 323908 342999 387738 429801 457332 485862 495443 573068 685998 728793 775476 859602 971724 990886 1289403 1371996 1457586 1486329 1719204 1862471 1981772 2578806 2915172 2972658 3724942 4458987 5157612 5587413 5945316 7449884 8917974 10321453 11174826 16762239 17835948 20642906 22349652 30964359 33524478 41285812 61928718 67048956 92893077 123857436 134178889 185786154 237393419 268357778 371572308 402536667 474786838 536715556 712180257 805073334 949573676 1207610001 1424360514 1610146668 2136540771 2415220002 2848721028 3086114447 4273081542 4830440004 6172228894 8546163084 9258343341 12344457788 18516686682 27775030023 37033373364 55550060046 111100120092