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20130022100 = 2252201300221
BaseRepresentation
bin10010101111110101…
…111100001011010100
31220221220012002001002
4102233311330023110
5312211241201400
613125252122432
71311561236036
oct225765741324
956856162032
1020130022100
11859a966601
123a99606418
131b8a6004a6
14d8d68dc56
157cc3a0ed5
hex4afd7c2d4

20130022100 has 18 divisors (see below), whose sum is σ = 43682148174. Its totient is φ = 8052008800.

The previous prime is 20130022091. The next prime is 20130022103. The reversal of 20130022100 is 122003102.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 38093584 + 20091928516 = 6172^2 + 141746^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20130022103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 100650011 + ... + 100650210.

Almost surely, 220130022100 is an apocalyptic number.

20130022100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20130022100 is an abundant number, since it is smaller than the sum of its proper divisors (23552126074).

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

20130022100 is a wasteful number, since it uses less digits than its factorization.

20130022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201300235 (or 201300228 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 20130022100 its reverse (122003102), we get a palindrome (20252025202).

It can be divided in two parts, 2013002 and 2100, that added together give a palindrome (2015102).

The spelling of 20130022100 in words is "twenty billion, one hundred thirty million, twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 201300221 402600442 805200884 1006501105 2013002210 4026004420 5032505525 10065011050 20130022100