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312032320131 = 3723364199487
BaseRepresentation
bin1001000101001101001…
…00110101101010000011
31002211102001212012222110
410202212210311222003
520103020233221011
6355202355310403
731354310650020
oct4424644655203
91084361765873
10312032320131
11110372123524
1250582bab403
132356989b46c
1411161174547
1581b3bb5ba6
hex48a6935a83

312032320131 has 32 divisors (see below), whose sum is σ = 478268264448. Its totient is φ = 177260175360.

The previous prime is 312032320121. The next prime is 312032320139. The reversal of 312032320131 is 131023230213.

It is not a de Polignac number, because 312032320131 - 29 = 312032319619 is a prime.

It is a super-2 number, since 2×3120323201312 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 312032320098 and 312032320107.

It is not an unprimeable number, because it can be changed into a prime (312032320139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3086670 + ... + 3186156.

It is an arithmetic number, because the mean of its divisors is an integer number (14945883264).

Almost surely, 2312032320131 is an apocalyptic number.

312032320131 is a deficient number, since it is larger than the sum of its proper divisors (166235944317).

312032320131 is a wasteful number, since it uses less digits than its factorization.

312032320131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100371.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 312032320131 its reverse (131023230213), we get a palindrome (443055550344).

The spelling of 312032320131 in words is "three hundred twelve billion, thirty-two million, three hundred twenty thousand, one hundred thirty-one".

Divisors: 1 3 7 21 233 641 699 1631 1923 4487 4893 13461 99487 149353 298461 448059 696409 1045471 2089227 3136413 23180471 63771167 69541413 162263297 191313501 446398169 486789891 1339194507 14858681911 44576045733 104010773377 312032320131