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31023220030008 = 23343197285753411
BaseRepresentation
bin1110000110111001010000…
…00000100111101000111000
311001211210100112200220222120
413003130220000213220320
513031241023311430013
6145551512011321240
76351232212214563
oct703345000475070
9131753315626876
1031023220030008
119980967a2a198
123590611750220
1314406282451cb
147937635d94da
1538beb9d14123
hex1c3728027a38

31023220030008 has 128 divisors (see below), whose sum is σ = 79793989989120. Its totient is φ = 10045605749760.

The previous prime is 31023220029917. The next prime is 31023220030039. The reversal of 31023220030008 is 80003002232013.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 31023220030008.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 580812823 + ... + 580866233.

It is an arithmetic number, because the mean of its divisors is an integer number (623390546790).

Almost surely, 231023220030008 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 31023220030008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39896994994560).

31023220030008 is an abundant number, since it is smaller than the sum of its proper divisors (48770769959112).

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

31023220030008 is a wasteful number, since it uses less digits than its factorization.

31023220030008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56517 (or 56513 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The spelling of 31023220030008 in words is "thirty-one trillion, twenty-three billion, two hundred twenty million, thirty thousand, eight".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 197 258 344 394 516 591 788 1032 1182 1576 2364 2857 4728 5714 8471 8571 11428 16942 17142 22856 25413 33884 34284 50826 53411 67768 68568 101652 106822 122851 160233 203304 213644 245702 320466 368553 427288 491404 562829 640932 737106 982808 1125658 1281864 1474212 1688487 2251316 2296673 2948424 3376974 4502632 4593346 6753948 6890019 9186692 10521967 13507896 13780038 18373384 21043934 24201647 27560076 31565901 42087868 48403294 55120152 63131802 72604941 84175736 96806588 126263604 145209882 152595227 193613176 252527208 290419764 305190454 452444581 457785681 580839528 610380908 904889162 915571362 1220761816 1357333743 1809778324 1831142724 2714667486 3619556648 3662285448 5429334972 6561594761 10858669944 13123189522 19684784283 26246379044 30061259719 39369568566 52492758088 60122519438 78739137132 90183779157 120245038876 157478274264 180367558314 240490077752 360735116628 721470233256 1292634167917 2585268335834 3877902503751 5170536671668 7755805007502 10341073343336 15511610015004 31023220030008