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312134201310 = 235313283711717
BaseRepresentation
bin1001000101011001010…
…01011110111111011110
31002211200011120022200110
410202230221132333132
520103222323420220
6355220435110450
731356655635501
oct4425451367736
91084604508613
10312134201310
1111041468a348
12505b1142426
1323584a20299
14111708d5138
1581bcadcbe0
hex48aca5efde

312134201310 has 64 divisors (see below), whose sum is σ = 751844503872. Its totient is φ = 82933533696.

The previous prime is 312134201303. The next prime is 312134201333. The reversal of 312134201310 is 13102431213.

It is a super-2 number, since 2×3121342013102 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26633572 + ... + 26645288.

It is an arithmetic number, because the mean of its divisors is an integer number (11747570373).

Almost surely, 2312134201310 is an apocalyptic number.

312134201310 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

312134201310 is an abundant number, since it is smaller than the sum of its proper divisors (439710302562).

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

312134201310 is a wasteful number, since it uses less digits than its factorization.

312134201310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14877.

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

Adding to 312134201310 its reverse (13102431213), we get a palindrome (325236632523).

The spelling of 312134201310 in words is "three hundred twelve billion, one hundred thirty-four million, two hundred one thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 313 626 939 1565 1878 2837 3130 4695 5674 8511 9390 11717 14185 17022 23434 28370 35151 42555 58585 70302 85110 117170 175755 351510 887981 1775962 2663943 3667421 4439905 5327886 7334842 8879810 11002263 13319715 18337105 22004526 26639430 33241129 36674210 55011315 66482258 99723387 110022630 166205645 199446774 332411290 498616935 997233870 10404473377 20808946754 31213420131 52022366885 62426840262 104044733770 156067100655 312134201310