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312130031213 = 741113909091
BaseRepresentation
bin1001000101011000110…
…01100100111001101101
31002211122212201110101102
410202230121210321231
520103220241444323
6355220205452445
731356605330000
oct4425431447155
91084585643342
10312130031213
111104122a1290
12505ab871125
1323583bc0180
141117012b537
1581bc567328
hex48ac664e6d

312130031213 has 40 divisors (see below), whose sum is σ = 427789604256. Its totient is φ = 224508866400.

The previous prime is 312130031209. The next prime is 312130031219.

312130031213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 312130031213 - 22 = 312130031209 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312130031219) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 111203 + ... + 797888.

Almost surely, 2312130031213 is an apocalyptic number.

It is an amenable number.

312130031213 is a deficient number, since it is larger than the sum of its proper divisors (115659573043).

312130031213 is an equidigital number, since it uses as much as digits as its factorization.

312130031213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909143 (or 909122 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

It can be divided in two parts, 3121300 and 31213, that multiplied together give a square (97425136900 = 3121302).

The spelling of 312130031213 in words is "three hundred twelve billion, one hundred thirty million, thirty-one thousand, two hundred thirteen".

Divisors: 1 7 11 13 49 77 91 143 343 539 637 1001 2401 3773 4459 7007 26411 31213 49049 343343 909091 6363637 10000001 11818183 44545459 70000007 82727281 130000013 311818213 490000049 579090967 910000091 2182727491 3430000343 4053636769 6370000637 24010002401 28375457383 44590004459 312130031213