Search a number
-
+
2102312120031 = 33312511722963
BaseRepresentation
bin11110100101111011100…
…100010010111011011111
321102222102202011001122000
4132211323210102323133
5233421013400320111
64245442220453343
7304613153114214
oct36457344227337
97388382131560
102102312120031
11740649425992
1229b5380aa253
1312332a0a0776
1473a76a15b0b
1539a451cec56
hex1e97b912edf

2102312120031 has 16 divisors (see below), whose sum is σ = 3215005393920. Its totient is φ = 1356330399480.

The previous prime is 2102312119987. The next prime is 2102312120039. The reversal of 2102312120031 is 1300212132012.

2102312120031 is a `hidden beast` number, since 210 + 231 + 21 + 200 + 3 + 1 = 666.

It is not a de Polignac number, because 2102312120031 - 27 = 2102312119903 is a prime.

It is a super-2 number, since 2×21023121200312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2102312119986 and 2102312120013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102312120039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1255860645 + ... + 1255862318.

It is an arithmetic number, because the mean of its divisors is an integer number (200937837120).

Almost surely, 22102312120031 is an apocalyptic number.

2102312120031 is a deficient number, since it is larger than the sum of its proper divisors (1112693273889).

2102312120031 is a wasteful number, since it uses less digits than its factorization.

2102312120031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2511723003 (or 2511722997 counting only the distinct ones).

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

Adding to 2102312120031 its reverse (1300212132012), we get a palindrome (3402524252043).

The spelling of 2102312120031 in words is "two trillion, one hundred two billion, three hundred twelve million, one hundred twenty thousand, thirty-one".

Divisors: 1 3 9 27 31 93 279 837 2511722963 7535168889 22605506667 67816520001 77863411853 233590235559 700770706677 2102312120031