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2107131 = 31397557
BaseRepresentation
bin1000000010011011111011
310222001102220
420002123323
51014412011
6113055123
723624145
oct10023373
93861386
102107131
11120a134
128574a3
1358a130
143cbc95
152b9506
hex2026fb

2107131 has 16 divisors (see below), whose sum is σ = 3062304. Its totient is φ = 1281024.

The previous prime is 2107117. The next prime is 2107141. The reversal of 2107131 is 1317012.

2107131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2107131 - 27 = 2107003 is a prime.

It is a super-2 number, since 2×21071312 = 8880002102322, which contains 22 as substring.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 2107131.

It is not an unprimeable number, because it can be changed into a prime (2107141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3505 + ... + 4061.

It is an arithmetic number, because the mean of its divisors is an integer number (191394).

22107131 is an apocalyptic number.

2107131 is a deficient number, since it is larger than the sum of its proper divisors (955173).

2107131 is a wasteful number, since it uses less digits than its factorization.

2107131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670.

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 2107131 is about 1451.5960181814. The cubic root of 2107131 is about 128.2027021042.

The spelling of 2107131 in words is "two million, one hundred seven thousand, one hundred thirty-one".

Divisors: 1 3 13 39 97 291 557 1261 1671 3783 7241 21723 54029 162087 702377 2107131