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31609740131 = 2910131076003
BaseRepresentation
bin11101011100000101…
…100101101101100011
310000120221022011200222
4131130011211231203
51004214043141011
622304334233255
72166214233524
oct353405455543
9100527264628
1031609740131
1112450968682
12616205582b
132c99a2b358
14175c15684b
15c500edddb
hex75c165b63

31609740131 has 8 divisors (see below), whose sum is σ = 32732041680. Its totient is φ = 30489592672.

The previous prime is 31609740103. The next prime is 31609740157. The reversal of 31609740131 is 13104790613.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-31609740131 is a prime.

It is a super-2 number, since 2×316097401312 (a number of 22 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 = 31609740091 and 31609740100.

It is not an unprimeable number, because it can be changed into a prime (31609740181) 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 7 ways as a sum of consecutive naturals, for example, 508625 + ... + 567378.

It is an arithmetic number, because the mean of its divisors is an integer number (4091505210).

Almost surely, 231609740131 is an apocalyptic number.

31609740131 is a deficient number, since it is larger than the sum of its proper divisors (1122301549).

31609740131 is a wasteful number, since it uses less digits than its factorization.

31609740131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077045.

The product of its (nonzero) digits is 13608, while the sum is 35.

The spelling of 31609740131 in words is "thirty-one billion, six hundred nine million, seven hundred forty thousand, one hundred thirty-one".

Divisors: 1 29 1013 29377 1076003 31204087 1089991039 31609740131