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214201250302431 = 3712600180952211
BaseRepresentation
bin110000101101000010011101…
…011011110100100111011111
31001002102102212102111122022210
4300231002131123310213133
5211033433130034134211
62035322410153011503
763055346444224650
oct6055023533644737
91032372772448283
10214201250302431
1162284270642927
12200357793b3b93
13926a125589402
143ac7578239527
1519b6ced0869a6
hexc2d09d6f49df

214201250302431 has 16 divisors (see below), whose sum is σ = 326404499725568. Its totient is φ = 122399741520000.

The previous prime is 214201250302399. The next prime is 214201250302561. The reversal of 214201250302431 is 134203052102412.

It is a happy number.

It is not a de Polignac number, because 214201250302431 - 25 = 214201250302399 is a prime.

It is a super-2 number, since 2×2142012503024312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214201250302331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37830085 + ... + 43122126.

It is an arithmetic number, because the mean of its divisors is an integer number (20400281232848).

Almost surely, 2214201250302431 is an apocalyptic number.

214201250302431 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

214201250302431 is a deficient number, since it is larger than the sum of its proper divisors (112203249423137).

214201250302431 is a wasteful number, since it uses less digits than its factorization.

214201250302431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81078222.

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 214201250302431 in words is "two hundred fourteen trillion, two hundred one billion, two hundred fifty million, three hundred two thousand, four hundred thirty-one".

Divisors: 1 3 7 21 126001 378003 882007 2646021 80952211 242856633 566665477 1699996431 10200059538211 30600178614633 71400416767477 214201250302431