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331012032131131 = 1323163182292829
BaseRepresentation
bin100101101000011011011111…
…0100101110111000000111011
31121102000102220122122100210121
41023100312332211313000323
5321341300120211144011
63132000454524154111
7126502554506304661
oct11320667645670073
91542012818570717
10331012032131131
119651a46174369a
1231160423998937
13112913ba814400
145ba50d420cc31
1528405b1369e71
hex12d0dbe97703b

331012032131131 has 12 divisors (see below), whose sum is σ = 369995506812480. Its totient is φ = 295693130435040.

The previous prime is 331012032131059. The next prime is 331012032131171. The reversal of 331012032131131 is 131131230210133.

It is not a de Polignac number, because 331012032131131 - 211 = 331012032129083 is a prime.

It is a super-2 number, since 2×3310120321311312 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 331012032131096 and 331012032131105.

It is not an unprimeable number, because it can be changed into a prime (331012032131171) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31591141176 + ... + 31591151653.

It is an arithmetic number, because the mean of its divisors is an integer number (30832958901040).

Almost surely, 2331012032131131 is an apocalyptic number.

331012032131131 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

331012032131131 is a deficient number, since it is larger than the sum of its proper divisors (38983474681349).

331012032131131 is a wasteful number, since it uses less digits than its factorization.

331012032131131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63182292886 (or 63182292873 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 331012032131131 its reverse (131131230210133), we get a palindrome (462143262341264).

The spelling of 331012032131131 in words is "three hundred thirty-one trillion, twelve billion, thirty-two million, one hundred thirty-one thousand, one hundred thirty-one".

Divisors: 1 13 31 169 403 5239 63182292829 821369806777 1958651077699 10677807488101 25462464010087 331012032131131