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2131312211001 = 32292780906207
BaseRepresentation
bin11111000000111100000…
…110110111010000111001
321112202021210221022200100
4133000330012313100321
5234404411411223001
64311040013230013
7306660621611331
oct37007406672071
97482253838610
102131312211001
117519801a8516
122a5090192309
13125c9c25abcc
14752283380c1
153a691144586
hex1f03c1b7439

2131312211001 has 12 divisors (see below), whose sum is σ = 3079613901312. Its totient is φ = 1420389352536.

The previous prime is 2131312210997. The next prime is 2131312211059. The reversal of 2131312211001 is 1001122131312.

2131312211001 is a `hidden beast` number, since 213 + 131 + 221 + 100 + 1 = 666.

It is not a de Polignac number, because 2131312211001 - 22 = 2131312210997 is a prime.

It is a super-2 number, since 2×21313122110012 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2131312211701) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40426761 + ... + 40479446.

It is an arithmetic number, because the mean of its divisors is an integer number (256634491776).

Almost surely, 22131312211001 is an apocalyptic number.

It is an amenable number.

2131312211001 is a deficient number, since it is larger than the sum of its proper divisors (948301690311).

2131312211001 is a wasteful number, since it uses less digits than its factorization.

2131312211001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80909140 (or 80909137 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 2131312211001 its reverse (1001122131312), we get a palindrome (3132434342313).

The spelling of 2131312211001 in words is "two trillion, one hundred thirty-one billion, three hundred twelve million, two hundred eleven thousand, one".

Divisors: 1 3 9 2927 8781 26343 80906207 242718621 728155863 236812467889 710437403667 2131312211001