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113214000431 = 7157277371897
BaseRepresentation
bin110100101110000010…
…1001000110100101111
3101211020002010010010002
41221130011020310233
53323330241003211
6124002040534515
711115356061050
oct1513405106457
9354202103102
10113214000431
1144017396214
1219b3718143b
13a8a332b0cc
14569ddb4727
152e2935e03b
hex1a5c148d2f

113214000431 has 16 divisors (see below), whose sum is σ = 130681982016. Its totient is φ = 96074125056.

The previous prime is 113214000407. The next prime is 113214000491. The reversal of 113214000431 is 134000412311.

It is not a de Polignac number, because 113214000431 - 214 = 113213984047 is a prime.

It is a super-3 number, since 3×1132140004313 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113214000491) 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, 118475 + ... + 490371.

It is an arithmetic number, because the mean of its divisors is an integer number (8167623876).

Almost surely, 2113214000431 is an apocalyptic number.

113214000431 is a deficient number, since it is larger than the sum of its proper divisors (17467981585).

113214000431 is a wasteful number, since it uses less digits than its factorization.

113214000431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372338.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 113214000431 its reverse (134000412311), we get a palindrome (247214412742).

The spelling of 113214000431 in words is "one hundred thirteen billion, two hundred fourteen million, four hundred thirty-one", and thus it is an aban number.

Divisors: 1 7 157 277 1099 1939 43489 304423 371897 2603279 58387829 103015469 408714803 721108283 16173428633 113214000431