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21132320100 = 2235270441067
BaseRepresentation
bin10011101011100101…
…011001110101100100
32000112202012002102020
4103223211121311210
5321234333220400
613412534543140
71345451520453
oct235345316544
960482162366
1021132320100
118a64709961
124119207ab0
131cba163628
141046838b9a
1583a3882a0
hex4eb959d64

21132320100 has 36 divisors (see below), whose sum is σ = 61142847024. Its totient is φ = 5635285280.

The previous prime is 21132320093. The next prime is 21132320141. The reversal of 21132320100 is 102323112.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21132320100.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 35220234 + ... + 35220833.

Almost surely, 221132320100 is an apocalyptic number.

21132320100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21132320100 is an abundant number, since it is smaller than the sum of its proper divisors (40010526924).

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

21132320100 is a wasteful number, since it uses less digits than its factorization.

21132320100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70441084 (or 70441077 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 21132320100 its reverse (102323112), we get a palindrome (21234643212).

The spelling of 21132320100 in words is "twenty-one billion, one hundred thirty-two million, three hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 70441067 140882134 211323201 281764268 352205335 422646402 704410670 845292804 1056616005 1408821340 1761026675 2113232010 3522053350 4226464020 5283080025 7044106700 10566160050 21132320100