Search a number
-
+
2131312001202 = 23413156246921
BaseRepresentation
bin11111000000111100000…
…110000100000010110010
321112202021210112122220000
4133000330012010002302
5234404411333014302
64311040004530430
7306660620045556
oct37007406040262
97482253478800
102131312001202
1175198007492a
122a50900b0a16
13125c9c1b6577
14752282c1866
153a69110231c
hex1f03c1840b2

2131312001202 has 20 divisors (see below), whose sum is σ = 4775717632686. Its totient is φ = 710437333680.

The previous prime is 2131312001141. The next prime is 2131312001227. The reversal of 2131312001202 is 2021002131312.

2131312001202 is a `hidden beast` number, since 213 + 131 + 200 + 120 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1474934951961 + 656377049241 = 1214469^2 + 810171^2 .

It is a super-3 number, since 3×21313120012023 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 6578123299 + ... + 6578123622.

Almost surely, 22131312001202 is an apocalyptic number.

2131312001202 is an abundant number, since it is smaller than the sum of its proper divisors (2644405631484).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2131312001202 is a wasteful number, since it uses less digits than its factorization.

2131312001202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13156246935 (or 13156246926 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2131312001202 its reverse (2021002131312), we get a palindrome (4152314132514).

The spelling of 2131312001202 in words is "two trillion, one hundred thirty-one billion, three hundred twelve million, one thousand, two hundred two".

Divisors: 1 2 3 6 9 18 27 54 81 162 13156246921 26312493842 39468740763 78937481526 118406222289 236812444578 355218666867 710437333734 1065656000601 2131312001202