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31160430312 = 233111910161507
BaseRepresentation
bin11101000001010011…
…100110111011101000
32222102121211212111120
4131001103212323220
51002304032232222
622152004055240
72152120200414
oct350123467350
988377755446
1031160430312
1112240283550
126057694520
132c2791385b
1417185d7d44
15c2594a15c
hex7414e6ee8

31160430312 has 128 divisors (see below), whose sum is σ = 90342950400. Its totient is φ = 8856864000.

The previous prime is 31160430299. The next prime is 31160430319. The reversal of 31160430312 is 21303406113.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (31160430319) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 475863 + ... + 537369.

It is an arithmetic number, because the mean of its divisors is an integer number (705804300).

Almost surely, 231160430312 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 31160430312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45171475200).

31160430312 is an abundant number, since it is smaller than the sum of its proper divisors (59182520088).

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

31160430312 is a wasteful number, since it uses less digits than its factorization.

31160430312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61647 (or 61643 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 31160430312 its reverse (21303406113), we get a palindrome (52463836425).

The spelling of 31160430312 in words is "thirty-one billion, one hundred sixty million, four hundred thirty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 101 114 132 152 202 209 228 264 303 404 418 456 606 627 808 836 1111 1212 1254 1672 1919 2222 2424 2508 3333 3838 4444 5016 5757 6666 7676 8888 11514 13332 15352 21109 23028 26664 42218 46056 61507 63327 84436 123014 126654 168872 184521 246028 253308 369042 492056 506616 676577 738084 1168633 1353154 1476168 2029731 2337266 2706308 3505899 4059462 4674532 5412616 6212207 7011798 8118924 9349064 12424414 12854963 14023596 16237848 18636621 24848828 25709926 28047192 37273242 38564889 49697656 51419852 68334277 74546484 77129778 102839704 118031933 136668554 149092968 154259556 205002831 236063866 273337108 308519112 354095799 410005662 472127732 546674216 708191598 820011324 944255464 1298351263 1416383196 1640022648 2596702526 2832766392 3895053789 5193405052 7790107578 10386810104 15580215156 31160430312