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31322112030 = 23251124366889
BaseRepresentation
bin11101001010111100…
…011000000000011110
32222211220002011010100
4131022330120000132
51003121430041110
622220021321530
72156122362606
oct351274300036
988756064110
1031322112030
1112313574400
1260a18662a6
132c52272901
141731c83c06
15c34c35bc0
hex74af1801e

31322112030 has 144 divisors (see below), whose sum is σ = 91597025520. Its totient is φ = 7416541440.

The previous prime is 31322112023. The next prime is 31322112037. The reversal of 31322112030 is 3021122313.

It is an interprime number because it is at equal distance from previous prime (31322112023) and next prime (31322112037).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 31322111994 and 31322112012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31322112037) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 434826 + ... + 501714.

It is an arithmetic number, because the mean of its divisors is an integer number (636090455).

Almost surely, 231322112030 is an apocalyptic number.

31322112030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31322112030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45798512760).

31322112030 is an abundant number, since it is smaller than the sum of its proper divisors (60274913490).

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

31322112030 is a wasteful number, since it uses less digits than its factorization.

31322112030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66967 (or 66953 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 31322112030 its reverse (3021122313), we get a palindrome (34343234343).

The spelling of 31322112030 in words is "thirty-one billion, three hundred twenty-two million, one hundred twelve thousand, thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 43 45 55 66 86 90 99 110 121 129 165 198 215 242 258 330 363 387 430 473 495 605 645 726 774 946 990 1089 1210 1290 1419 1815 1935 2178 2365 2838 3630 3870 4257 4730 5203 5445 7095 8514 10406 10890 14190 15609 21285 26015 31218 42570 46827 52030 66889 78045 93654 133778 156090 200667 234135 334445 401334 468270 602001 668890 735779 1003335 1204002 1471558 2006670 2207337 2876227 3010005 3678895 4414674 5752454 6020010 6622011 7357790 8093569 8628681 11036685 13244022 14381135 16187138 17257362 22073370 24280707 25886043 28762270 31638497 33110055 40467845 43143405 48561414 51772086 63276994 66220110 72842121 80935690 86286810 94915491 121403535 129430215 145684242 158192485 189830982 242807070 258860430 284746473 316384970 348023467 364210605 474577455 569492946 696046934 728421210 949154910 1044070401 1423732365 1740117335 2088140802 2847464730 3132211203 3480234670 5220352005 6264422406 10440704010 15661056015 31322112030