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113031112401 = 321120672
BaseRepresentation
bin110100101000100101…
…1011110011011010001
3101210202022222102220100
41221101023132123101
53322441431044101
6123531545003013
711111005413564
oct1512113363321
9353668872810
10113031112401
1143a33130789
1219aa5a83469
13a87448583c
1456839a84db
152e18284e86
hex1a512de6d1

113031112401 has 9 divisors (see below), whose sum is σ = 163268619241. Its totient is φ = 75353402532.

The previous prime is 113031112399. The next prime is 113031112417. The reversal of 113031112401 is 104211130311.

It is a happy number.

The square root of 113031112401 is 336201.

It is a perfect power (a square), and thus also a powerful number.

113031112401 is a `hidden beast` number, since 11 + 303 + 111 + 240 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 113031112401 - 21 = 113031112399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (113031162401) 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 8 ways as a sum of consecutive naturals, for example, 952570 + ... + 1064636.

Almost surely, 2113031112401 is an apocalyptic number.

113031112401 is the 336201-st square number.

113031112401 is the 168101-st centered octagonal number.

It is an amenable number.

113031112401 is a deficient number, since it is larger than the sum of its proper divisors (50237506840).

113031112401 is an frugal number, since it uses more digits than its factorization.

113031112401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224140 (or 112070 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 113031112401 its reverse (104211130311), we get a palindrome (217242242712).

The spelling of 113031112401 in words is "one hundred thirteen billion, thirty-one million, one hundred twelve thousand, four hundred one".

Divisors: 1 3 9 112067 336201 1008603 12559012489 37677037467 113031112401