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31013141232 = 2437983211467
BaseRepresentation
bin11100111000100001…
…101111101011110000
32222001100200210212110
4130320201233223300
51002003331004412
622125223125320
72145351231243
oct347041575360
988040623773
1031013141232
1112175123037
1260162a3840
132c03253858
141702c1725a
15c17a53d3c
hex73886faf0

31013141232 has 160 divisors (see below), whose sum is σ = 82674708480. Its totient is φ = 10014600960.

The previous prime is 31013141221. The next prime is 31013141233. The reversal of 31013141232 is 23214131013.

It is a junction number, because it is equal to n+sod(n) for n = 31013141199 and 31013141208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31013141233) by changing a digit.

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, 66409063 + ... + 66409529.

It is an arithmetic number, because the mean of its divisors is an integer number (516716928).

Almost surely, 231013141232 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 31013141232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41337354240).

31013141232 is an abundant number, since it is smaller than the sum of its proper divisors (51661567248).

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

31013141232 is a wasteful number, since it uses less digits than its factorization.

31013141232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 31013141232 its reverse (23214131013), we get a palindrome (54227272245).

The spelling of 31013141232 in words is "thirty-one billion, thirteen million, one hundred forty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 79 83 158 166 211 237 249 316 332 422 467 474 498 632 633 664 844 934 948 996 1264 1266 1328 1401 1688 1868 1896 1992 2532 2802 3376 3736 3792 3984 5064 5604 6557 7472 10128 11208 13114 16669 17513 19671 22416 26228 33338 35026 36893 38761 39342 50007 52456 52539 66676 70052 73786 77522 78684 98537 100014 104912 105078 110679 116283 133352 140104 147572 155044 157368 197074 200028 210156 221358 232566 266704 280208 295144 295611 310088 314736 394148 400056 420312 442716 465132 590288 591222 620176 788296 800112 840624 885432 930264 1182444 1383527 1576592 1770864 1860528 2364888 2767054 3062119 4150581 4729776 5534108 6124238 7784423 8178571 8301162 9186357 11068216 12248476 15568846 16357142 16602324 18372714 22136432 23353269 24496952 24535713 31137692 32714284 33204648 36745428 46706538 48993904 49071426 62275384 65428568 66409296 73490856 93413076 98142852 124550768 130857136 146981712 186826152 196285704 373652304 392571408 646107109 1292214218 1938321327 2584428436 3876642654 5168856872 7753285308 10337713744 15506570616 31013141232