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100132300021 = 1360719936367
BaseRepresentation
bin101110101000001011…
…0011010010011110101
3100120110101120212202111
41131100112122103311
53120032332100041
6114000010411021
710143241335565
oct1352026322365
9316411525674
10100132300021
1139514089066
12174a6130a71
13959a052090
144bbc85cda5
152910b6e981
hex175059a4f5

100132300021 has 16 divisors (see below), whose sum is σ = 108083605504. Its totient is φ = 92216755584.

The previous prime is 100132300019. The next prime is 100132300027. The reversal of 100132300021 is 120003231001.

It is a cyclic number.

It is not a de Polignac number, because 100132300021 - 21 = 100132300019 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100132299974 and 100132300010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100132300027) 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 15 ways as a sum of consecutive naturals, for example, 15723580 + ... + 15729946.

It is an arithmetic number, because the mean of its divisors is an integer number (6755225344).

Almost surely, 2100132300021 is an apocalyptic number.

It is an amenable number.

100132300021 is a deficient number, since it is larger than the sum of its proper divisors (7951305483).

100132300021 is a wasteful number, since it uses less digits than its factorization.

100132300021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8980.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 100132300021 its reverse (120003231001), we get a palindrome (220135531022).

The spelling of 100132300021 in words is "one hundred billion, one hundred thirty-two million, three hundred thousand, twenty-one".

Divisors: 1 13 607 1993 6367 7891 25909 82771 1209751 3864769 12689431 15726763 50241997 164962603 7702484617 100132300021