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2131130001 = 37411132069
BaseRepresentation
bin111111100000110…
…0111011010010001
312111112002121202210
41333001213122101
513331032130001
6551245302333
7103545210000
oct17701473221
95445077683
102131130001
119a3a70570
124b58649a9
1327c69a290
14163070c37
15c7165dd6
hex7f067691

2131130001 has 80 divisors (see below), whose sum is σ = 3896303040. Its totient is φ = 1021426560.

The previous prime is 2131129967. The next prime is 2131130077. The reversal of 2131130001 is 1000311312.

It is not a de Polignac number, because 2131130001 - 215 = 2131097233 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2131130101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1028995 + ... + 1031063.

It is an arithmetic number, because the mean of its divisors is an integer number (48703788).

Almost surely, 22131130001 is an apocalyptic number.

2131130001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2131130001 is a deficient number, since it is larger than the sum of its proper divisors (1765173039).

2131130001 is a wasteful number, since it uses less digits than its factorization.

2131130001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2124 (or 2103 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 2131130001 is about 46164.1636012178. The cubic root of 2131130001 is about 1286.8758405650.

Adding to 2131130001 its reverse (1000311312), we get a palindrome (3131441313).

The spelling of 2131130001 in words is "two billion, one hundred thirty-one million, one hundred thirty thousand, one".

Divisors: 1 3 7 11 13 21 33 39 49 77 91 143 147 231 273 343 429 539 637 1001 1029 1617 1911 2069 2401 3003 3773 4459 6207 7007 7203 11319 13377 14483 21021 22759 26411 26897 31213 43449 49049 68277 79233 80691 93639 101381 147147 159313 188279 295867 304143 343343 477939 564837 709667 887601 1030029 1115191 1317953 2071069 2129001 3345573 3953859 4967669 6213207 7806337 9225671 14497483 14903007 23419011 27677013 43492449 54644359 64579697 101482381 163933077 193739091 304447143 710376667 2131130001