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111130233032 = 23713436595387
BaseRepresentation
bin110011101111111100…
…0001100100011001000
3101121211212010202121202
41213133320030203020
53310043314424112
6123015202323332
711012624252330
oct1473770144310
9347755122552
10111130233032
11431481349a5
1219655359548
13a630704950
1455433520c0
152d564516c2
hex19dfe0c8c8

111130233032 has 128 divisors (see below), whose sum is σ = 262865433600. Its totient is φ = 42868078848.

The previous prime is 111130233031. The next prime is 111130233043. The reversal of 111130233032 is 230332031111.

It is a junction number, because it is equal to n+sod(n) for n = 111130232995 and 111130233013.

It is not an unprimeable number, because it can be changed into a prime (111130233031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20626643 + ... + 20632029.

It is an arithmetic number, because the mean of its divisors is an integer number (2053636200).

Almost surely, 2111130233032 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 111130233032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131432716800).

111130233032 is an abundant number, since it is smaller than the sum of its proper divisors (151735200568).

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

111130233032 is a wasteful number, since it uses less digits than its factorization.

111130233032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6115 (or 6111 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 111130233032 its reverse (230332031111), we get a palindrome (341462264143).

The spelling of 111130233032 in words is "one hundred eleven billion, one hundred thirty million, two hundred thirty-three thousand, thirty-two".

Divisors: 1 2 4 7 8 13 14 26 28 43 52 56 86 91 104 172 182 301 344 364 559 602 659 728 1118 1204 1318 2236 2408 2636 3913 4472 4613 5272 5387 7826 8567 9226 10774 15652 17134 18452 21548 28337 31304 34268 36904 37709 43096 56674 59969 68536 70031 75418 113348 119938 140062 150836 198359 226696 231641 239876 280124 301672 368381 396718 463282 479752 490217 560248 736762 793436 926564 980434 1473524 1586872 1621487 1853128 1960868 2578667 2947048 3011333 3242974 3550033 3921736 5157334 6022666 6485948 7100066 10314668 12045332 12971896 14200132 20629336 21079331 24090664 24850231 28400264 42158662 46150429 49700462 84317324 92300858 99400924 152651419 168634648 184601716 198801848 305302838 323053003 369203432 610605676 646106006 1068559933 1221211352 1292212012 1984468447 2137119866 2584424024 3968936894 4274239732 7937873788 8548479464 13891279129 15875747576 27782558258 55565116516 111130233032