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31012300032 = 283710615437
BaseRepresentation
bin11100111000011110…
…100010010100000000
32222001022010001221220
4130320132202110000
51002003122100112
622125153115040
72145341125620
oct347036422400
988038101856
1031012300032
11121746a902a
126015b58a80
132c0301a9bc
141702a78880
15c1793998c
hex7387a2500

31012300032 has 144 divisors (see below), whose sum is σ = 94435350912. Its totient is φ = 8850677760.

The previous prime is 31012300009. The next prime is 31012300051. The reversal of 31012300032 is 23000321013.

It is a junction number, because it is equal to n+sod(n) for n = 31012299984 and 31012300020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5701218 + ... + 5706654.

It is an arithmetic number, because the mean of its divisors is an integer number (655801048).

Almost surely, 231012300032 is an apocalyptic number.

31012300032 is a gapful number since it is divisible by the number (32) 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 31012300032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47217675456).

31012300032 is an abundant number, since it is smaller than the sum of its proper divisors (63423050880).

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

31012300032 is a wasteful number, since it uses less digits than its factorization.

31012300032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6524 (or 6510 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 31012300032 its reverse (23000321013), we get a palindrome (54012621045).

The spelling of 31012300032 in words is "thirty-one billion, twelve million, three hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1061 1344 1792 2122 2688 3183 4244 5376 5437 6366 7427 8488 10874 12732 14854 16311 16976 21748 22281 25464 29708 32622 33952 38059 43496 44562 50928 59416 65244 67904 76118 86992 89124 101856 114177 118832 130488 135808 152236 173984 178248 203712 228354 237664 260976 271616 304472 347968 356496 407424 456708 475328 521952 608944 695936 712992 814848 913416 950656 1043904 1217888 1391872 1425984 1826832 1901312 2087808 2435776 2851968 3653664 4175616 4871552 5703936 5768657 7307328 9743104 11537314 14614656 17305971 23074628 29229312 34611942 40380599 46149256 69223884 80761198 92298512 121141797 138447768 161522396 184597024 242283594 276895536 323044792 369194048 484567188 553791072 646089584 738388096 969134376 1107582144 1292179168 1476776192 1938268752 2215164288 2584358336 3876537504 4430328576 5168716672 7753075008 10337433344 15506150016 31012300032