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1112413134132 = 2232477313964793
BaseRepresentation
bin10000001100000000111…
…111010101110100110100
310221100022222120022120100
4100030000333111310310
5121211210230243012
62211011402034100
7143240430424656
oct20140077256464
93840288508510
101112413134132
11399854239433
1215b714aa8930
1380b916cc661
143bbabd086d6
151de0a62b8dc
hex10300fd5d34

1112413134132 has 144 divisors (see below), whose sum is σ = 2932089189120. Its totient is φ = 355362868224.

The previous prime is 1112413134113. The next prime is 1112413134149. The reversal of 1112413134132 is 2314313142111.

1112413134132 is a `hidden beast` number, since 1 + 1 + 1 + 241 + 3 + 1 + 3 + 413 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1112413134096 and 1112413134105.

It is a congruent number.

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, 17136328 + ... + 17201120.

It is an arithmetic number, because the mean of its divisors is an integer number (20361730480).

Almost surely, 21112413134132 is an apocalyptic number.

1112413134132 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 1112413134132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1466044594560).

1112413134132 is an abundant number, since it is smaller than the sum of its proper divisors (1819676054988).

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

1112413134132 is a wasteful number, since it uses less digits than its factorization.

1112413134132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65062 (or 65057 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

Adding to 1112413134132 its reverse (2314313142111), we get a palindrome (3426726276243).

The spelling of 1112413134132 in words is "one trillion, one hundred twelve billion, four hundred thirteen million, one hundred thirty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 47 73 94 139 141 146 188 219 278 282 292 417 423 438 556 564 657 834 846 876 1251 1314 1668 1692 2502 2628 3431 5004 6533 6862 10147 10293 13066 13724 19599 20294 20586 26132 30441 30879 39198 40588 41172 58797 60882 61758 64793 78396 91323 117594 121764 123516 129586 182646 194379 235188 259172 365292 388758 476909 583137 777516 953818 1166274 1430727 1907636 2332548 2861454 3045271 4292181 4729889 5722908 6090542 8584362 9006227 9135813 9459778 12181084 14189667 17168724 18012454 18271626 18919556 27018681 27407439 28379334 36024908 36543252 42569001 54037362 54814878 56758668 81056043 85138002 108074724 109629756 162112086 170276004 222304783 324224172 423292669 444609566 657454571 666914349 846585338 889219132 1269878007 1314909142 1333828698 1693170676 1972363713 2000743047 2539756014 2629818284 2667657396 3809634021 3944727426 4001486094 5079512028 5917091139 7619268042 7889454852 8002972188 11834182278 15238536084 23668364556 30900364837 61800729674 92701094511 123601459348 185402189022 278103283533 370804378044 556206567066 1112413134132