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103022111313 = 321123295329437
BaseRepresentation
bin101111111110010011…
…0001010101001010001
3100211220210021111121100
41133330212022221101
53141442130030223
6115154441215013
710304661332442
oct1377446125121
9324823244540
10103022111313
113a767329060
1217b71a91469
13993a9663a4
144db45812c9
152a2e6ea043
hex17fc98aa51

103022111313 has 96 divisors (see below), whose sum is σ = 178549712640. Its totient is φ = 56573637120.

The previous prime is 103022111293. The next prime is 103022111341. The reversal of 103022111313 is 313111220301.

It is not a de Polignac number, because 103022111313 - 26 = 103022111249 is a prime.

It is a super-2 number, since 2×1030221113132 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103022121313) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3485031 + ... + 3514467.

It is an arithmetic number, because the mean of its divisors is an integer number (1859892840).

Almost surely, 2103022111313 is an apocalyptic number.

It is an amenable number.

103022111313 is a deficient number, since it is larger than the sum of its proper divisors (75527601327).

103022111313 is a wasteful number, since it uses less digits than its factorization.

103022111313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29559 (or 29556 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 103022111313 its reverse (313111220301), we get a palindrome (416133331614).

The spelling of 103022111313 in words is "one hundred three billion, twenty-two million, one hundred eleven thousand, three hundred thirteen".

Divisors: 1 3 9 11 23 29 33 53 69 87 99 159 207 253 261 319 477 583 667 759 957 1219 1537 1749 2001 2277 2871 3657 4611 5247 6003 7337 10971 13409 13833 16907 22011 29437 35351 40227 50721 66033 88311 106053 120681 152163 264933 318159 323807 388861 677051 853673 971421 1166583 1560161 2031153 2561019 2914263 3499749 4680483 6093459 7447561 7683057 9390403 14041449 17161771 19634479 22342683 28171209 35883703 45244669 51485313 58903437 67028049 84513627 107651109 135734007 154455939 176710311 215979269 322953327 394720733 407202021 497691359 647937807 1040627387 1184162199 1493074077 1943813421 3121882161 3552486597 4479222231 9365646483 11446901257 34340703771 103022111313