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2137236131 = 31371741
BaseRepresentation
bin111111101100011…
…1010001010100011
312111221120211210202
41333120322022203
513334113024011
6552024215415
7103651131062
oct17730721243
95457524722
102137236131
119a7461158
124b790a56b
13280a27684
14163bc01d9
15c797023b
hex7f63a2a3

2137236131 has 8 divisors (see below), whose sum is σ = 2208505728. Its totient is φ = 2068264200.

The previous prime is 2137236103. The next prime is 2137236163. The reversal of 2137236131 is 1316327312.

It is a de Polignac number, because none of the positive numbers 2k-2137236131 is a prime.

It is a super-3 number, since 3×21372361313 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2137236094 and 2137236103.

It is not an unprimeable number, because it can be changed into a prime (2137236191) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6080 + ... + 65661.

It is an arithmetic number, because the mean of its divisors is an integer number (276063216).

Almost surely, 22137236131 is an apocalyptic number.

2137236131 is a deficient number, since it is larger than the sum of its proper divisors (71269597).

2137236131 is an frugal number, since it uses more digits than its factorization.

2137236131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71834 (or 71772 counting only the distinct ones).

The product of its digits is 4536, while the sum is 29.

The square root of 2137236131 is about 46230.2512539138. The cubic root of 2137236131 is about 1288.1037241015.

The spelling of 2137236131 in words is "two billion, one hundred thirty-seven million, two hundred thirty-six thousand, one hundred thirty-one".

Divisors: 1 31 961 29791 71741 2223971 68943101 2137236131