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31313220321131 = 742891207386389
BaseRepresentation
bin1110001111010101011010…
…10111111011111101101011
311002212111220011102002221122
413013222231113323331223
513101013433400234011
6150333032252125455
76411206535060110
oct707525527737553
9132774804362848
1031313220321131
119a829535a0181
12361886616688b
131461a93458cc8
147a37d4652907
153947de6713db
hex1c7aad5fbf6b

31313220321131 has 16 divisors (see below), whose sum is σ = 35798260555200. Its totient is φ = 26831112081408.

The previous prime is 31313220321107. The next prime is 31313220321277. The reversal of 31313220321131 is 13112302231313.

It is a cyclic number.

It is not a de Polignac number, because 31313220321131 - 218 = 31313220058987 is a prime.

It is a super-2 number, since 2×313132203211312 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 31313220321131.

It is not an unprimeable number, because it can be changed into a prime (31313220321431) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 362424485 + ... + 362510873.

It is an arithmetic number, because the mean of its divisors is an integer number (2237391284700).

Almost surely, 231313220321131 is an apocalyptic number.

31313220321131 is a deficient number, since it is larger than the sum of its proper divisors (4485040234069).

31313220321131 is a wasteful number, since it uses less digits than its factorization.

31313220321131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102758.

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 31313220321131 its reverse (13112302231313), we get a palindrome (44425522552444).

The spelling of 31313220321131 in words is "thirty-one trillion, three hundred thirteen billion, two hundred twenty million, three hundred twenty-one thousand, one hundred thirty-one".

Divisors: 1 7 4289 12073 30023 84511 86389 604723 51781097 362467679 370522421 1042974397 2593656947 7300820779 4473317188733 31313220321131