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31031013121 = 173135831801
BaseRepresentation
bin11100111001100101…
…111010111100000001
32222002121022210111021
4130321211322330001
51002022414404441
622131102145441
72145656155003
oct347145727401
988077283437
1031031013121
111218421a499
126020282281
132c06b70434
14170534a373
15c193d43d1
hex73997af01

31031013121 has 8 divisors (see below), whose sum is σ = 32961344904. Its totient is φ = 29112345600.

The previous prime is 31031013103. The next prime is 31031013131. The reversal of 31031013121 is 12131013013.

It can be written as a sum of positive squares in 4 ways, for example, as 1481403121 + 29549610000 = 38489^2 + 171900^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 31031013121 - 29 = 31031012609 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 31031013095 and 31031013104.

It is not an unprimeable number, because it can be changed into a prime (31031013131) 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, 2910580 + ... + 2921221.

It is an arithmetic number, because the mean of its divisors is an integer number (4120168113).

Almost surely, 231031013121 is an apocalyptic number.

It is an amenable number.

31031013121 is a deficient number, since it is larger than the sum of its proper divisors (1930331783).

31031013121 is a wasteful number, since it uses less digits than its factorization.

31031013121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5832131.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 31031013121 its reverse (12131013013), we get a palindrome (43162026134).

The spelling of 31031013121 in words is "thirty-one billion, thirty-one million, thirteen thousand, one hundred twenty-one".

Divisors: 1 17 313 5321 5831801 99140617 1825353713 31031013121