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20100031101 = 324154471629
BaseRepresentation
bin10010101110000011…
…100010001001111101
31220212210202101010100
4102232003202021331
5312131101443401
613122301231313
71311045305523
oct225603421175
956783671110
1020100031101
118584a41957
123a8b562539
131b8432c637
14d896c4313
157c9929b86
hex4ae0e227d

20100031101 has 12 divisors (see below), whose sum is σ = 29741509980. Its totient is φ = 13073190720.

The previous prime is 20100031097. The next prime is 20100031129. The reversal of 20100031101 is 10113000102.

It can be written as a sum of positive squares in 2 ways, for example, as 944087076 + 19155944025 = 30726^2 + 138405^2 .

It is not a de Polignac number, because 20100031101 - 22 = 20100031097 is a prime.

It is a super-2 number, since 2×201000311012 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20100031151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27235446 + ... + 27236183.

It is an arithmetic number, because the mean of its divisors is an integer number (2478459165).

Almost surely, 220100031101 is an apocalyptic number.

It is an amenable number.

20100031101 is a deficient number, since it is larger than the sum of its proper divisors (9641478879).

20100031101 is a wasteful number, since it uses less digits than its factorization.

20100031101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54471676 (or 54471673 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 20100031101 its reverse (10113000102), we get a palindrome (30213031203).

The spelling of 20100031101 in words is "twenty billion, one hundred million, thirty-one thousand, one hundred one".

Divisors: 1 3 9 41 123 369 54471629 163414887 490244661 2233336789 6700010367 20100031101