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10130131233 = 3273136111329
BaseRepresentation
bin10010110111100110…
…11000100100100001
3222010222121222121200
421123303120210201
5131221303144413
64353111511413
7506014460205
oct113363304441
928128558550
1010130131233
114329216592
121b68688569
13c559508c1
146c1558b05
153e4515573
hex25bcd8921

10130131233 has 24 divisors (see below), whose sum is σ = 14845064520. Its totient is φ = 6655426560.

The previous prime is 10130131213. The next prime is 10130131243. The reversal of 10130131233 is 33213103101.

It is a happy number.

10130131233 is a `hidden beast` number, since 101 + 301 + 31 + 233 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 294053904 + 9836077329 = 17148^2 + 99177^2 .

It is not a de Polignac number, because 10130131233 - 214 = 10130114849 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10130131213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 888513 + ... + 899841.

It is an arithmetic number, because the mean of its divisors is an integer number (618544355).

Almost surely, 210130131233 is an apocalyptic number.

It is an amenable number.

10130131233 is a deficient number, since it is larger than the sum of its proper divisors (4714933287).

10130131233 is a wasteful number, since it uses less digits than its factorization.

10130131233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12769 (or 12766 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 10130131233 its reverse (33213103101), we get a palindrome (43343234334).

The spelling of 10130131233 in words is "ten billion, one hundred thirty million, one hundred thirty-one thousand, two hundred thirty-three".

Divisors: 1 3 9 73 219 657 1361 4083 11329 12249 33987 99353 101961 298059 827017 894177 2481051 7443153 15418769 46256307 138768921 1125570137 3376710411 10130131233