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113405106331 = 11231672684081
BaseRepresentation
bin110100110011101111…
…0001001100010011011
3101211201101201022010101
41221213132021202123
53324223201400311
6124033025000231
711123166333106
oct1514736114233
9354641638111
10113405106331
1144105253980
1219b8b183077
13a903ac001a
1456bb51d73d
152e3b00cec1
hex1a6778989b

113405106331 has 16 divisors (see below), whose sum is σ = 129866623488. Its totient is φ = 98022601600.

The previous prime is 113405106313. The next prime is 113405106403. The reversal of 113405106331 is 133601504311.

It is not a de Polignac number, because 113405106331 - 221 = 113403009179 is a prime.

It is a super-2 number, since 2×1134051063312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 113405106331.

It is not an unprimeable number, because it can be changed into a prime (113405106131) 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, 1299790 + ... + 1384291.

It is an arithmetic number, because the mean of its divisors is an integer number (8116663968).

Almost surely, 2113405106331 is an apocalyptic number.

113405106331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

113405106331 is a deficient number, since it is larger than the sum of its proper divisors (16461517157).

113405106331 is a wasteful number, since it uses less digits than its factorization.

113405106331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2684282.

The product of its (nonzero) digits is 3240, while the sum is 28.

The spelling of 113405106331 in words is "one hundred thirteen billion, four hundred five million, one hundred six thousand, three hundred thirty-one".

Divisors: 1 11 23 167 253 1837 3841 42251 2684081 29524891 61733863 448241527 679072493 4930656797 10309555121 113405106331