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112407741020 = 225174171137829
BaseRepresentation
bin110100010110000000…
…1100000001001011100
3101202010212222220010102
41220230001200021130
53320202340203040
6123350040000232
711056366014401
oct1505401401134
9352125886112
10112407741020
114374326a623
1219951160078
13a7a5296133
145624c9a2a8
152dcd69c515
hex1a2c06025c

112407741020 has 192 divisors, whose sum is σ = 261854933760. Its totient is φ = 40358707200.

The previous prime is 112407741007. The next prime is 112407741023. The reversal of 112407741020 is 20147704211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112407741023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 135593966 + ... + 135594794.

It is an arithmetic number, because the mean of its divisors is an integer number (1363827780).

Almost surely, 2112407741020 is an apocalyptic number.

112407741020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112407741020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130927466880).

112407741020 is an abundant number, since it is smaller than the sum of its proper divisors (149447192740).

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

112407741020 is a wasteful number, since it uses less digits than its factorization.

112407741020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 29.

The spelling of 112407741020 in words is "one hundred twelve billion, four hundred seven million, seven hundred forty-one thousand, twenty".