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113123243331 = 347279360781
BaseRepresentation
bin110100101011010101…
…0111011010101000011
3101210222202100011210000
41221112222323111003
53323134022241311
6123545035411043
711113204463100
oct1512652732503
9353882304700
10113123243331
1143a8013804a
1219b108b3a83
13a88a5a2697
145691d0baa7
152e213d3056
hex1a56abb543

113123243331 has 60 divisors (see below), whose sum is σ = 199065076320. Its totient is φ = 63823425120.

The previous prime is 113123243329. The next prime is 113123243341. The reversal of 113123243331 is 133342321311.

113123243331 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 2 + 324 + 3 + 331 = 666.

It is not a de Polignac number, because 113123243331 - 21 = 113123243329 is a prime.

It is a super-2 number, since 2×1131232433312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 113123243295 and 113123243304.

It is not an unprimeable number, because it can be changed into a prime (113123243341) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 133161 + ... + 493941.

It is an arithmetic number, because the mean of its divisors is an integer number (3317751272).

Almost surely, 2113123243331 is an apocalyptic number.

113123243331 is a deficient number, since it is larger than the sum of its proper divisors (85941832989).

113123243331 is an equidigital number, since it uses as much as digits as its factorization.

113123243331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360886 (or 360870 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

Adding to 113123243331 its reverse (133342321311), we get a palindrome (246465564642).

The spelling of 113123243331 in words is "one hundred thirteen billion, one hundred twenty-three million, two hundred forty-three thousand, three hundred thirty-one".

Divisors: 1 3 7 9 21 27 49 63 79 81 147 189 237 441 553 567 711 1323 1659 2133 3871 3969 4977 6399 11613 14931 34839 44793 104517 313551 360781 1082343 2525467 3247029 7576401 9741087 17678269 22729203 28501699 29223261 53034807 68187609 85505097 159104421 199511893 204562827 256515291 477313263 598535679 769545873 1396583251 1431939789 1795607037 2308637619 4189749753 5386821111 12569249259 16160463333 37707747777 113123243331