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31414465601 is a prime number
BaseRepresentation
bin11101010000011100…
…101011010001000001
310000002022212012101222
4131100130223101001
51003314100344401
622233121004425
72161323360161
oct352034532101
9100068765358
1031414465601
1112360712a72
126108783715
132c68439bac
1417402445a1
15c3cdc9c1b
hex75072b441

31414465601 has 2 divisors, whose sum is σ = 31414465602. Its totient is φ = 31414465600.

The previous prime is 31414465591. The next prime is 31414465603. The reversal of 31414465601 is 10656441413.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31166371600 + 248094001 = 176540^2 + 15751^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-31414465601 is a prime.

Together with 31414465603, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (31414465603) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15707232800 + 15707232801.

It is an arithmetic number, because the mean of its divisors is an integer number (15707232801).

Almost surely, 231414465601 is an apocalyptic number.

It is an amenable number.

31414465601 is a deficient number, since it is larger than the sum of its proper divisors (1).

31414465601 is an equidigital number, since it uses as much as digits as its factorization.

31414465601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34560, while the sum is 35.

The spelling of 31414465601 in words is "thirty-one billion, four hundred fourteen million, four hundred sixty-five thousand, six hundred one".