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21013020100 = 2252297245869
BaseRepresentation
bin10011100100011110…
…010011110111000100
32000020102201000120201
4103210132103313010
5321013313120400
613353033540244
71342502503162
oct234436236704
960212630521
1021013020100
118a03336016
1240a5274684
131c9b523207
141034a62232
1582eb7006a
hex4e4793dc4

21013020100 has 36 divisors (see below), whose sum is σ = 47170613700. Its totient is φ = 8115372160.

The previous prime is 21013020089. The next prime is 21013020121. The reversal of 21013020100 is 102031012.

It can be written as a sum of positive squares in 6 ways, for example, as 3985901956 + 17027118144 = 63134^2 + 130488^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3620035 + ... + 3625834.

It is an arithmetic number, because the mean of its divisors is an integer number (1310294825).

Almost surely, 221013020100 is an apocalyptic number.

21013020100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21013020100 is an abundant number, since it is smaller than the sum of its proper divisors (26157593600).

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

21013020100 is a wasteful number, since it uses less digits than its factorization.

21013020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7245912 (or 7245905 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 21013020100 its reverse (102031012), we get a palindrome (21115051112).

The spelling of 21013020100 in words is "twenty-one billion, thirteen million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 7245869 14491738 28983476 36229345 72458690 144917380 181146725 210130201 362293450 420260402 724586900 840520804 1050651005 2101302010 4202604020 5253255025 10506510050 21013020100