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2131001020 = 2251011054951
BaseRepresentation
bin111111100000100…
…0111111010111100
312111111212001211201
41333001013322330
513331014013040
6551242425244
7103544131651
oct17701077274
95444761751
102131001020
119a3992675
124b5802224
1327c653665
14163039c28
15c713ca9a
hex7f047ebc

2131001020 has 24 divisors (see below), whose sum is σ = 4519414368. Its totient is φ = 843960000.

The previous prime is 2131001003. The next prime is 2131001027. The reversal of 2131001020 is 201001312.

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

It is a junction number, because it is equal to n+sod(n) for n = 2131000988 and 2131001006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131001027) 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 7 ways as a sum of consecutive naturals, for example, 525456 + ... + 529495.

It is an arithmetic number, because the mean of its divisors is an integer number (188308932).

Almost surely, 22131001020 is an apocalyptic number.

2131001020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2131001020 is an abundant number, since it is smaller than the sum of its proper divisors (2388413348).

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

2131001020 is a wasteful number, since it uses less digits than its factorization.

2131001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055061 (or 1055059 counting only the distinct ones).

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

The square root of 2131001020 is about 46162.7665982012. The cubic root of 2131001020 is about 1286.8498784570.

Adding to 2131001020 its reverse (201001312), we get a palindrome (2332002332).

The spelling of 2131001020 in words is "two billion, one hundred thirty-one million, one thousand, twenty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 1054951 2109902 4219804 5274755 10549510 21099020 106550051 213100102 426200204 532750255 1065500510 2131001020