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312313201112 = 2311291017091709
BaseRepresentation
bin1001000101101110101…
…00010100000111011000
31002212010122101110020202
410202313110110013120
520104104134413422
6355250311441332
731364261260013
oct4426724240730
91085118343222
10312313201112
111104a6729570
1250641086248
13235b2b33b23
141118a5ac37a
1581cd699b92
hex48b75141d8

312313201112 has 128 divisors (see below), whose sum is σ = 668726280000. Its totient is φ = 135437568000.

The previous prime is 312313201093. The next prime is 312313201147. The reversal of 312313201112 is 211102313213.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 182745314 + ... + 182747022.

Almost surely, 2312313201112 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 312313201112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334363140000).

312313201112 is an abundant number, since it is smaller than the sum of its proper divisors (356413078888).

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

312313201112 is a wasteful number, since it uses less digits than its factorization.

312313201112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2565 (or 2561 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 312313201112 its reverse (211102313213), we get a palindrome (523415514325).

The spelling of 312313201112 in words is "three hundred twelve billion, three hundred thirteen million, two hundred one thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 29 44 58 88 101 116 202 232 319 404 638 709 808 1111 1276 1418 1709 2222 2552 2836 2929 3418 4444 5672 5858 6836 7799 8888 11716 13672 15598 18799 20561 23432 31196 32219 37598 41122 49561 62392 64438 71609 75196 82244 99122 128876 143218 150392 164488 172609 198244 226171 257752 286436 345218 396488 452342 545171 572872 690436 787699 904684 1090342 1211681 1380872 1575398 1809368 1898699 2076661 2180684 2423362 3150796 3797398 4153322 4361368 4846724 5005661 6301592 7594796 8306644 9693448 10011322 13328491 15189592 16613288 20022644 22843271 26656982 35138749 40045288 45686542 53313964 55062271 70277498 91373084 106627928 110124542 122379781 140554996 182746168 220249084 244759562 281109992 386526239 440498168 489519124 773052478 979038248 1346177591 1546104956 2692355182 3092209912 3549013649 5384710364 7098027298 10769420728 14196054596 28392109192 39039150139 78078300278 156156600556 312313201112