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312133231230 = 235291901188729
BaseRepresentation
bin1001000101011001001…
…01110010001001111110
31002211200002202000222120
410202230211302021332
520103222101344410
6355220402223410
731356644455332
oct4425445621176
91084602660876
10312133231230
11110414087527
12505b0954b66
1323584770882
14111707217c2
1581bc99a570
hex48ac97227e

312133231230 has 64 divisors (see below), whose sum is σ = 775363233600. Its totient is φ = 80322636800.

The previous prime is 312133231229. The next prime is 312133231271. The reversal of 312133231230 is 32132331213.

It is a self number, because there is not a number n which added to its sum of digits gives 312133231230.

It is a congruent number.

It is an unprimeable number.

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, 1559506 + ... + 1748234.

It is an arithmetic number, because the mean of its divisors is an integer number (12115050525).

Almost surely, 2312133231230 is an apocalyptic number.

312133231230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 312133231230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387681616800).

312133231230 is an abundant number, since it is smaller than the sum of its proper divisors (463230002370).

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

312133231230 is a wasteful number, since it uses less digits than its factorization.

312133231230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190669.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 312133231230 its reverse (32132331213), we get a palindrome (344265562443).

The spelling of 312133231230 in words is "three hundred twelve billion, one hundred thirty-three million, two hundred thirty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 290 435 870 1901 3802 5703 9505 11406 19010 28515 55129 57030 110258 165387 188729 275645 330774 377458 551290 566187 826935 943645 1132374 1653870 1887290 2830935 5473141 5661870 10946282 16419423 27365705 32838846 54731410 82097115 164194230 358773829 717547658 1076321487 1793869145 2152642974 3587738290 5381607435 10404441041 10763214870 20808882082 31213323123 52022205205 62426646246 104044410410 156066615615 312133231230