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312311020312 = 232943611912687
BaseRepresentation
bin1001000101101110010…
…11111111101100011000
31002212010111021122202101
410202313023333230120
520104103110122222
6355250153013144
731364233605004
oct4426713775430
91085114248671
10312311020312
111104a547a055
12506403b41b4
13235b254c305
141118a1a1704
1581cd3b8927
hex48b72ffb18

312311020312 has 128 divisors (see below), whose sum is σ = 633559449600. Its totient is φ = 144038361600.

The previous prime is 312311020213. The next prime is 312311020339. The reversal of 312311020312 is 213020113213.

It is a self number, because there is not a number n which added to its sum of digits gives 312311020312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116229033 + ... + 116231719.

It is an arithmetic number, because the mean of its divisors is an integer number (4949683200).

Almost surely, 2312311020312 is an apocalyptic number.

It is an amenable number.

312311020312 is an abundant number, since it is smaller than the sum of its proper divisors (321248429288).

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

312311020312 is a wasteful number, since it uses less digits than its factorization.

312311020312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3017 (or 3013 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 312311020312 its reverse (213020113213), we get a palindrome (525331133525).

The spelling of 312311020312 in words is "three hundred twelve billion, three hundred eleven million, twenty thousand, three hundred twelve".

Divisors: 1 2 4 8 29 43 58 61 86 116 122 172 191 232 244 344 382 488 764 1247 1528 1769 2494 2623 2687 3538 4988 5246 5374 5539 7076 8213 9976 10492 10748 11078 11651 14152 16426 20984 21496 22156 23302 32852 44312 46604 65704 76067 77923 93208 115541 152134 155846 163907 231082 238177 304268 311692 327814 337879 462164 476354 500993 513217 608536 623384 655628 675758 924328 952708 1001986 1026434 1311256 1351516 1905416 2003972 2052868 2703032 3350689 4007944 4105736 4753303 6701378 7048001 9506606 13402756 14096002 14528797 14883293 19013212 22068331 26805512 28192004 29057594 29766586 31306237 38026424 44136662 56384008 58115188 59533172 62612474 88273324 116230376 119066344 125224948 176546648 204392029 250449896 408784058 639981599 817568116 907880873 1279963198 1346168191 1635136232 1815761746 2559926396 2692336382 3631523492 5119852792 5384672764 7263046984 10769345528 39038877539 78077755078 156155510156 312311020312