Search a number
-
+
2131132293 = 3231139179307
BaseRepresentation
bin111111100000110…
…0111111110000101
312111112002201220200
41333001213332011
513331032213133
6551245321113
7103545216453
oct17701477605
95445081820
102131132293
119a3a72264
124b5866199
1327c69b334
141630719d3
15c7166913
hex7f067f85

2131132293 has 48 divisors (see below), whose sum is σ = 3228825600. Its totient is φ = 1352985120.

The previous prime is 2131132273. The next prime is 2131132301. The reversal of 2131132293 is 3922311312.

2131132293 is a `hidden beast` number, since 21 + 311 + 322 + 9 + 3 = 666.

It is not a de Polignac number, because 2131132293 - 210 = 2131131269 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131132273) 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 47 ways as a sum of consecutive naturals, for example, 6941646 + ... + 6941952.

It is an arithmetic number, because the mean of its divisors is an integer number (67267200).

Almost surely, 22131132293 is an apocalyptic number.

It is an amenable number.

2131132293 is a deficient number, since it is larger than the sum of its proper divisors (1097693307).

2131132293 is a wasteful number, since it uses less digits than its factorization.

2131132293 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 659 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 2131132293 is about 46164.1884256617. The cubic root of 2131132293 is about 1286.8763019037.

The spelling of 2131132293 in words is "two billion, one hundred thirty-one million, one hundred thirty-two thousand, two hundred ninety-three".

Divisors: 1 3 9 31 93 139 179 279 307 417 537 921 1251 1611 2763 4309 5549 9517 12927 16647 24881 28551 38781 42673 49941 54953 74643 85653 128019 164859 223929 384057 494577 771311 1322863 1703543 2313933 3968589 5110629 6941799 7638467 11905767 15331887 22915401 68746203 236792477 710377431 2131132293