Search a number
-
+
10010323132131 = 37268097436273
BaseRepresentation
bin1001000110101011010111…
…0000010001111011100011
31022102222101122000200220110
42101222311300101323203
52303002120210212011
633142402353342403
72052136065461400
oct221526560217343
938388348020813
1010010323132131
11320a399491a83
121158098b67a03
13577c7aa8272a
142687061672a7
151255d137dba6
hex91ab5c11ee3

10010323132131 has 12 divisors (see below), whose sum is σ = 15526215470472. Its totient is φ = 5720184646848.

The previous prime is 10010323132109. The next prime is 10010323132171. The reversal of 10010323132131 is 13123132301001.

It is a happy number.

10010323132131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10010323132131 - 213 = 10010323123939 is a prime.

It is a super-3 number, since 3×100103231321313 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 10010323132098 and 10010323132107.

It is not an unprimeable number, because it can be changed into a prime (10010323132171) 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, 34048717990 + ... + 34048718283.

It is an arithmetic number, because the mean of its divisors is an integer number (1293851289206).

Almost surely, 210010323132131 is an apocalyptic number.

10010323132131 is a deficient number, since it is larger than the sum of its proper divisors (5515892338341).

10010323132131 is an equidigital number, since it uses as much as digits as its factorization.

10010323132131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68097436290 (or 68097436283 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 10010323132131 its reverse (13123132301001), we get a palindrome (23133455433132).

The spelling of 10010323132131 in words is "ten trillion, ten billion, three hundred twenty-three million, one hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 3 7 21 49 147 68097436273 204292308819 476682053911 1430046161733 3336774377377 10010323132131