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101422575360 = 283452394093
BaseRepresentation
bin101111001110101000…
…0011010111100000000
3100200210022110122210000
41132131100122330000
53130203134402420
6114332021440000
710220226444351
oct1363520327400
9320708418700
10101422575360
113a016444017
12177a6270000
139744463902
144ca1d6bd28
15298908d690
hex179d41af00

101422575360 has 360 divisors, whose sum is σ = 364516004160. Its totient is φ = 26926276608.

The previous prime is 101422575329. The next prime is 101422575409. The reversal of 101422575360 is 63575224101.

101422575360 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 22 + 575 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24777474 + ... + 24781566.

It is an arithmetic number, because the mean of its divisors is an integer number (1012544456).

Almost surely, 2101422575360 is an apocalyptic number.

101422575360 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 101422575360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182258002080).

101422575360 is an abundant number, since it is smaller than the sum of its proper divisors (263093428800).

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

101422575360 is an equidigital number, since it uses as much as digits as its factorization.

101422575360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4365 (or 4342 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

Adding to 101422575360 its reverse (63575224101), we get a palindrome (164997799461).

The spelling of 101422575360 in words is "one hundred one billion, four hundred twenty-two million, five hundred seventy-five thousand, three hundred sixty".