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313210214211030 = 2351931359111744203
BaseRepresentation
bin100011100110111001110111…
…1100011101101110111010110
31112001222121022100120111001020
41013031303233203231313112
5312023114004314223110
63030050441440542010
7122654456042533413
oct10715635743556726
91461877270514036
10313210214211030
1190886784604334
122b1662a3021906
131059c79a58b346
14574b65330310a
1526324b303cd70
hex11cdcef8eddd6

313210214211030 has 256 divisors, whose sum is σ = 819819690393600. Its totient is φ = 76290926353920.

The previous prime is 313210214211007. The next prime is 313210214211071. The reversal of 313210214211030 is 30112412012313.

It is a super-2 number, since 2×3132102142110302 (a number of 30 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 (31) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7085700909 + ... + 7085745111.

It is an arithmetic number, because the mean of its divisors is an integer number (3202420665600).

Almost surely, 2313210214211030 is an apocalyptic number.

313210214211030 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 313210214211030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409909845196800).

313210214211030 is an abundant number, since it is smaller than the sum of its proper divisors (506609476182570).

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

313210214211030 is a wasteful number, since it uses less digits than its factorization.

313210214211030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45739.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 313210214211030 its reverse (30112412012313), we get a palindrome (343322626223343).

The spelling of 313210214211030 in words is "three hundred thirteen trillion, two hundred ten billion, two hundred fourteen million, two hundred eleven thousand, thirty".