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312142224131331 = 311172632115601717
BaseRepresentation
bin100011011111001000100011…
…0011000111000010100000011
31111221012111122021211011000020
41012332101012120320110003
5311403114233334200311
63023512054055024523
7122514350204614566
oct10676210630702403
91457174567734006
10312142224131331
1190504856a9a230
122b01330736b143
1310522b683b6a19
145711a9b1a24dd
152614807887c06
hex11be446638503

312142224131331 has 32 divisors (see below), whose sum is σ = 482560289468928. Its totient is φ = 177372047869440.

The previous prime is 312142224131299. The next prime is 312142224131369. The reversal of 312142224131331 is 133131422241213.

It is not a de Polignac number, because 312142224131331 - 25 = 312142224131299 is a prime.

It is a super-2 number, since 2×3121422241313312 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 312142224131292 and 312142224131301.

It is not an unprimeable number, because it can be changed into a prime (312142224171331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1057653316 + ... + 1057948401.

It is an arithmetic number, because the mean of its divisors is an integer number (15080009045904).

Almost surely, 2312142224131331 is an apocalyptic number.

312142224131331 is a deficient number, since it is larger than the sum of its proper divisors (170418065337597).

312142224131331 is a wasteful number, since it uses less digits than its factorization.

312142224131331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2115602011.

The product of its digits is 20736, while the sum is 33.

Adding to 312142224131331 its reverse (133131422241213), we get a palindrome (445273646372544).

The spelling of 312142224131331 in words is "three hundred twelve trillion, one hundred forty-two billion, two hundred twenty-four million, one hundred thirty-one thousand, three hundred thirty-one".

Divisors: 1 3 11 17 33 51 187 263 561 789 2893 4471 8679 13413 49181 147543 2115601717 6346805151 23271618887 35965229189 69814856661 107895687567 395617521079 556403251571 1186852563237 1669209754713 6120435767281 9458855276707 18361307301843 28376565830121 104047408043777 312142224131331