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1013311133032 = 2311232918719227
BaseRepresentation
bin11101011111011100000…
…11001101010101101000
310120212112101200001020011
432233232003031111220
5113100230122224112
62053301514141304
7133131536342032
oct16575603152550
93525471601204
101013311133032
11360819799190
12144477a21834
1374729c65813
143708a242c52
151b55a175aa7
hexebee0cd568

1013311133032 has 128 divisors (see below), whose sum is σ = 2238816153600. Its totient is φ = 425104556800.

The previous prime is 1013311133011. The next prime is 1013311133039. The reversal of 1013311133032 is 2303311133101.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1013311132994 and 1013311133012.

It is not an unprimeable number, because it can be changed into a prime (1013311133039) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109815603 + ... + 109824829.

It is an arithmetic number, because the mean of its divisors is an integer number (17490751200).

Almost surely, 21013311133032 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 1013311133032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1119408076800).

1013311133032 is an abundant number, since it is smaller than the sum of its proper divisors (1225505020568).

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

1013311133032 is a wasteful number, since it uses less digits than its factorization.

1013311133032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11167 (or 11163 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 1013311133032 its reverse (2303311133101), we get a palindrome (3316622266133).

The spelling of 1013311133032 in words is "one trillion, thirteen billion, three hundred eleven million, one hundred thirty-three thousand, thirty-two".

Divisors: 1 2 4 8 11 22 23 29 44 46 58 88 92 116 184 232 253 319 506 638 667 1012 1276 1334 1871 2024 2552 2668 3742 5336 7337 7484 9227 14674 14968 18454 20581 29348 36908 41162 43033 54259 58696 73816 82324 86066 101497 108518 164648 172132 202994 212221 217036 267583 344264 405988 424442 434072 473363 535166 596849 811976 848884 946726 1070332 1193698 1247957 1697768 1893452 2140664 2334431 2387396 2495914 2943413 3786904 4668862 4774792 4991828 5886826 6154409 9337724 9983656 11773652 12308818 13727527 17263717 18675448 23547304 24617636 27455054 34527434 49235272 54910108 67698499 69054868 109820216 135396998 138109736 189900887 270793996 379801774 397065491 500647793 541587992 759603548 794130982 1001295586 1519207096 1588261964 2002591172 3176523928 4005182344 4367720401 5507125723 8735440802 11014251446 11514899239 17470881604 22028502892 23029798478 34941763208 44057005784 46059596956 92119193912 126663891629 253327783258 506655566516 1013311133032