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112640771130 = 23510934446719
BaseRepresentation
bin110100011100111101…
…0011100010000111010
3101202202010111001100020
41220321322130100322
53321142014134010
6123425122351310
711065225520436
oct1507172342072
9352663431306
10112640771130
1143852862598
12199b71bb536
13a811646684
145647bd99c6
152de3d7d470
hex1a39e9c43a

112640771130 has 32 divisors (see below), whose sum is σ = 272818022400. Its totient is φ = 29761964352.

The previous prime is 112640771093. The next prime is 112640771143. The reversal of 112640771130 is 31177046211.

It is a happy number.

It is a super-2 number, since 2×1126407711302 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112640771091 and 112640771100.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 17220090 + ... + 17226629.

It is an arithmetic number, because the mean of its divisors is an integer number (8525563200).

Almost surely, 2112640771130 is an apocalyptic number.

112640771130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

112640771130 is an abundant number, since it is smaller than the sum of its proper divisors (160177251270).

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

112640771130 is a wasteful number, since it uses less digits than its factorization.

112640771130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34446838.

The product of its (nonzero) digits is 7056, while the sum is 33.

The spelling of 112640771130 in words is "one hundred twelve billion, six hundred forty million, seven hundred seventy-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 109 218 327 545 654 1090 1635 3270 34446719 68893438 103340157 172233595 206680314 344467190 516700785 1033401570 3754692371 7509384742 11264077113 18773461855 22528154226 37546923710 56320385565 112640771130