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101001408256 = 28756362393
BaseRepresentation
bin101111000010000100…
…1110010111100000000
3100122200221222011010101
41132010021302330000
53123322330031011
6114222134412144
710203623543050
oct1360411627400
9318627864111
10101001408256
113991a730a31
12176a9201054
1396a81208c8
144c62057560
1529620e82c1
hex1784272f00

101001408256 has 36 divisors (see below), whose sum is σ = 230409466672. Its totient is φ = 43286317056.

The previous prime is 101001408227. The next prime is 101001408269. The reversal of 101001408256 is 652804100101.

101001408256 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28179405 + ... + 28182988.

Almost surely, 2101001408256 is an apocalyptic number.

101001408256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

101001408256 is an abundant number, since it is smaller than the sum of its proper divisors (129408058416).

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

101001408256 is an frugal number, since it uses more digits than its factorization.

101001408256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56362416 (or 56362402 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

Adding to 101001408256 its reverse (652804100101), we get a palindrome (753805508357).

The spelling of 101001408256 in words is "one hundred one billion, one million, four hundred eight thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 896 1792 56362393 112724786 225449572 394536751 450899144 789073502 901798288 1578147004 1803596576 3156294008 3607193152 6312588016 7214386304 12625176032 14428772608 25250352064 50500704128 101001408256