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101156256 = 2533177197
BaseRepresentation
bin1100000011110…
…00010110100000
321001100021022000
412001320112200
5201344000011
614012044000
72335546125
oct601702640
9231307260
10101156256
1152111213
1229a63600
1317c59b96
14d61274c
158d32356
hex60785a0

101156256 has 192 divisors, whose sum is σ = 320060160. Its totient is φ = 30965760.

The previous prime is 101156233. The next prime is 101156281. The reversal of 101156256 is 652651101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1042800 + ... + 1042896.

It is an arithmetic number, because the mean of its divisors is an integer number (1666980).

Almost surely, 2101156256 is an apocalyptic number.

101156256 is a gapful number since it is divisible by the number (16) 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 101156256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160030080).

101156256 is an abundant number, since it is smaller than the sum of its proper divisors (218903904).

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

101156256 is a wasteful number, since it uses less digits than its factorization.

101156256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 101156256 is about 10057.6466432262. The cubic root of 101156256 is about 465.9409873266.

The spelling of 101156256 in words is "one hundred one million, one hundred fifty-six thousand, two hundred fifty-six".