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111103131132 = 223273189159799
BaseRepresentation
bin110011101111001000…
…0110011110111111100
3101121202222010211210200
41213132100303313330
53310014400144012
6123012353403500
711012145014130
oct1473620636774
9347688124720
10111103131132
1143133903934
1219648269590
13a627c05b16
14553d8d93c0
152d53d9b3dc
hex19de433dfc

111103131132 has 144 divisors (see below), whose sum is σ = 335043072000. Its totient is φ = 30374403840.

The previous prime is 111103131119. The next prime is 111103131133. The reversal of 111103131132 is 231131301111.

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 (111103131133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 615369 + ... + 775167.

It is an arithmetic number, because the mean of its divisors is an integer number (2326688000).

Almost surely, 2111103131132 is an apocalyptic number.

111103131132 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 111103131132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167521536000).

111103131132 is an abundant number, since it is smaller than the sum of its proper divisors (223939940868).

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

111103131132 is a wasteful number, since it uses less digits than its factorization.

111103131132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159936 (or 159931 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 111103131132 its reverse (231131301111), we get a palindrome (342234432243).

The spelling of 111103131132 in words is "one hundred eleven billion, one hundred three million, one hundred thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 89 93 124 126 178 186 217 252 267 279 356 372 434 534 558 623 651 801 868 1068 1116 1246 1302 1602 1869 1953 2492 2604 2759 3204 3738 3906 5518 5607 7476 7812 8277 11036 11214 16554 19313 22428 24831 33108 38626 49662 57939 77252 99324 115878 159799 173817 231756 319598 347634 479397 639196 695268 958794 1118593 1438191 1917588 2237186 2876382 3355779 4474372 4953769 5752764 6711558 9907538 10067337 13423116 14222111 14861307 19815076 20134674 28444222 29722614 34676383 40269348 42666333 44583921 56888444 59445228 69352766 85332666 89167842 99554777 104029149 127998999 138705532 170665332 178335684 199109554 208058298 255997998 298664331 312087447 398219108 416116596 440885441 511995996 597328662 624174894 881770882 895992993 1194657324 1248349788 1322656323 1763541764 1791985986 2645312646 3086198087 3583971972 3967968969 5290625292 6172396174 7935937938 9258594261 12344792348 15871875876 18517188522 27775782783 37034377044 55551565566 111103131132