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101054533536 = 25321153591012
BaseRepresentation
bin101111000011101010…
…0011100111110100000
3100122211122221012022100
41132013110130332200
53123424430033121
6114231313210400
710205140235205
oct1360724347640
9318748835270
10101054533536
1139947716820
1217702b60a00
1396b6131698
144c69125cac
152966ade026
hex178751cfa0

101054533536 has 432 divisors, whose sum is σ = 328075544160. Its totient is φ = 29243136000.

The previous prime is 101054533529. The next prime is 101054533537. The reversal of 101054533536 is 635335450101.

101054533536 is a `hidden beast` number, since 10 + 10 + 54 + 53 + 3 + 536 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 101054533536.

It is not an unprimeable number, because it can be changed into a prime (101054533537) 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 71 ways as a sum of consecutive naturals, for example, 1000539886 + ... + 1000539986.

It is an arithmetic number, because the mean of its divisors is an integer number (759434130).

Almost surely, 2101054533536 is an apocalyptic number.

101054533536 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 101054533536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164037772080).

101054533536 is an abundant number, since it is smaller than the sum of its proper divisors (227021010624).

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

101054533536 is a wasteful number, since it uses less digits than its factorization.

101054533536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

Adding to 101054533536 its reverse (635335450101), we get a palindrome (736389983637).

The spelling of 101054533536 in words is "one hundred one billion, fifty-four million, five hundred thirty-three thousand, five hundred thirty-six".