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112689753300 = 223252125210837
BaseRepresentation
bin110100011110011010…
…1010010110011010100
3101202212112122121020200
41220330311102303110
53321242034101200
6123434032300500
711066362045545
oct1507465226324
9352775577220
10112689753300
1143878478623
1219a0b6a1730
13a81b8366c7
14565050a4cc
152de8306800
hex1a3cd52cd4

112689753300 has 54 divisors (see below), whose sum is σ = 353219773998. Its totient is φ = 30050600640.

The previous prime is 112689753299. The next prime is 112689753301. The reversal of 112689753300 is 3357986211.

112689753300 is a `hidden beast` number, since 1 + 1 + 26 + 8 + 97 + 533 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (112689753299) and next prime (112689753301).

It can be written as a sum of positive squares in 3 ways, for example, as 8718330384 + 103971422916 = 93372^2 + 322446^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112689753301) 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 17 ways as a sum of consecutive naturals, for example, 62604519 + ... + 62606318.

Almost surely, 2112689753300 is an apocalyptic number.

112689753300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112689753300 is an abundant number, since it is smaller than the sum of its proper divisors (240530020698).

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

112689753300 is a wasteful number, since it uses less digits than its factorization.

112689753300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125210857 (or 125210847 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 112689753300 in words is "one hundred twelve billion, six hundred eighty-nine million, seven hundred fifty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 125210837 250421674 375632511 500843348 626054185 751265022 1126897533 1252108370 1502530044 1878162555 2253795066 2504216740 3130270925 3756325110 4507590132 5634487665 6260541850 7512650220 9390812775 11268975330 12521083700 18781625550 22537950660 28172438325 37563251100 56344876650 112689753300