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2010020131 = 7329397509
BaseRepresentation
bin111011111001110…
…0111100100100011
312012002012121021001
41313303213210203
513104031121011
6531241412431
7100544614000
oct16763474443
95162177231
102010020131
11941670969
1248119a117
13260575132
14150d468a7
15bb6e17c1
hex77ce7923

2010020131 has 32 divisors (see below), whose sum is σ = 2435760000. Its totient is φ = 1656014976.

The previous prime is 2010020113. The next prime is 2010020171. The reversal of 2010020131 is 1310200102.

It is not a de Polignac number, because 2010020131 - 25 = 2010020099 is a prime.

It is a super-2 number, since 2×20100201312 = 8080361854050514322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2010020171) 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 31 ways as a sum of consecutive naturals, for example, 3948705 + ... + 3949213.

It is an arithmetic number, because the mean of its divisors is an integer number (76117500).

Almost surely, 22010020131 is an apocalyptic number.

2010020131 is a deficient number, since it is larger than the sum of its proper divisors (425739869).

2010020131 is an equidigital number, since it uses as much as digits as its factorization.

2010020131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 942 counting only the distinct ones).

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

The square root of 2010020131 is about 44833.2480532027. The cubic root of 2010020131 is about 1262.0216414187.

Adding to 2010020131 its reverse (1310200102), we get a palindrome (3320220233).

The spelling of 2010020131 in words is "two billion, ten million, twenty thousand, one hundred thirty-one".

Divisors: 1 7 29 49 203 343 397 509 1421 2779 3563 9947 11513 14761 19453 24941 80591 103327 136171 174587 202073 564137 723289 1414511 3948959 5063023 5860117 9901577 41020819 69311039 287145733 2010020131