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312131333030 = 25114365989711
BaseRepresentation
bin1001000101011000111…
…10100010101110100110
31002211122222011121010212
410202230132202232212
520103221110124110
6355220253415422
731356622361246
oct4425436425646
91084588147125
10312131333030
11110413000370
12505b019a572
132358425788a
1411170389b26
1581bc722e05
hex48ac7a2ba6

312131333030 has 32 divisors (see below), whose sum is σ = 627166222848. Its totient is φ = 110862712800.

The previous prime is 312131333027. The next prime is 312131333047. The reversal of 312131333030 is 30333131213.

It is a super-3 number, since 3×3121313330303 (a number of 35 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 312131332987 and 312131333005.

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 15 ways as a sum of consecutive naturals, for example, 32990126 + ... + 32999585.

It is an arithmetic number, because the mean of its divisors is an integer number (19598944464).

Almost surely, 2312131333030 is an apocalyptic number.

312131333030 is an abundant number, since it is smaller than the sum of its proper divisors (315034889818).

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

312131333030 is a wasteful number, since it uses less digits than its factorization.

312131333030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65989772.

The product of its (nonzero) digits is 1458, while the sum is 23.

Adding to 312131333030 its reverse (30333131213), we get a palindrome (342464464243).

The spelling of 312131333030 in words is "three hundred twelve billion, one hundred thirty-one million, three hundred thirty-three thousand, thirty".

Divisors: 1 2 5 10 11 22 43 55 86 110 215 430 473 946 2365 4730 65989711 131979422 329948555 659897110 725886821 1451773642 2837557573 3629434105 5675115146 7258868210 14187787865 28375575730 31213133303 62426266606 156065666515 312131333030