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2140213131 = 33721617697
BaseRepresentation
bin111111110010001…
…0000111110001011
312112011012002111000
41333210100332023
513340343310011
6552212110043
7104015340300
oct17744207613
95464162430
102140213131
119a9104891
124b8905323
1328152a704
141643570a7
15c7d5c356
hex7f910f8b

2140213131 has 24 divisors (see below), whose sum is σ = 3688351440. Its totient is φ = 1222978176.

The previous prime is 2140213111. The next prime is 2140213139. The reversal of 2140213131 is 1313120412.

It is not a de Polignac number, because 2140213131 - 25 = 2140213099 is a prime.

It is a super-2 number, since 2×21402131312 = 9161024492209646322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2140213139) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 807526 + ... + 810171.

It is an arithmetic number, because the mean of its divisors is an integer number (153681310).

Almost surely, 22140213131 is an apocalyptic number.

2140213131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2140213131 is a deficient number, since it is larger than the sum of its proper divisors (1548138309).

2140213131 is a wasteful number, since it uses less digits than its factorization.

2140213131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1617720 (or 1617707 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2140213131 is about 46262.4375816926. The cubic root of 2140213131 is about 1288.7015219828.

Adding to 2140213131 its reverse (1313120412), we get a palindrome (3453333543).

The spelling of 2140213131 in words is "two billion, one hundred forty million, two hundred thirteen thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 27 49 63 147 189 441 1323 1617697 4853091 11323879 14559273 33971637 43677819 79267153 101914911 237801459 305744733 713404377 2140213131