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113122120040 = 2352997519069
BaseRepresentation
bin110100101011010011…
…0101001000101101000
3101210222200020002220122
41221112212221011220
53323133230320130
6123544555342412
711113162104146
oct1512646510550
9353880202818
10113122120040
1143a7a540106
1219b10451a08
13a88a29b307
145691ad8596
152e212602e5
hex1a569a9168

113122120040 has 32 divisors (see below), whose sum is σ = 263301489000. Its totient is φ = 43688542464.

The previous prime is 113122120039. The next prime is 113122120043. The reversal of 113122120040 is 40021221311.

It can be written as a sum of positive squares in 4 ways, for example, as 93644568196 + 19477551844 = 306014^2 + 139562^2 .

It is a super-2 number, since 2×1131221200402 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (113122120043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48758375 + ... + 48760694.

Almost surely, 2113122120040 is an apocalyptic number.

113122120040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113122120040 is an abundant number, since it is smaller than the sum of its proper divisors (150179368960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113122120040 is a wasteful number, since it uses less digits than its factorization.

113122120040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97519109 (or 97519105 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 113122120040 its reverse (40021221311), we get a palindrome (153143341351).

The spelling of 113122120040 in words is "one hundred thirteen billion, one hundred twenty-two million, one hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 97519069 195038138 390076276 487595345 780152552 975190690 1950381380 2828053001 3900762760 5656106002 11312212004 14140265005 22624424008 28280530010 56561060020 113122120040