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31210201213 = 175334639513
BaseRepresentation
bin11101000100010001…
…011110000001111101
32222120002111111100021
4131010101132001331
51002404302414323
622200542532141
72153263222162
oct350421360175
988502444307
1031210201213
1112266388124
126070297051
132c3501b8a9
141721072069
15c29ecc05d
hex74445e07d

31210201213 has 8 divisors (see below), whose sum is σ = 33669607608. Its totient is φ = 28820073984.

The previous prime is 31210201177. The next prime is 31210201237.

31210201213 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 19343802724 + 11866398489 = 139082^2 + 108933^2 .

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 31210201213 - 29 = 31210200701 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31210201283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17318856 + ... + 17320657.

It is an arithmetic number, because the mean of its divisors is an integer number (4208700951).

Almost surely, 231210201213 is an apocalyptic number.

It is an amenable number.

31210201213 is a deficient number, since it is larger than the sum of its proper divisors (2459406395).

31210201213 is a wasteful number, since it uses less digits than its factorization.

31210201213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34639583.

The product of its (nonzero) digits is 72, while the sum is 16.

The spelling of 31210201213 in words is "thirty-one billion, two hundred ten million, two hundred one thousand, two hundred thirteen".

Divisors: 1 17 53 901 34639513 588871721 1835894189 31210201213