Search a number
-
+
10131011323312 = 2411107537967891
BaseRepresentation
bin1001001101101100111101…
…0101001100010110110000
31022212111220121011001020011
42103123033111030112300
52311441302344321222
633314042232224304
72063640622253155
oct223331725142660
938774817131204
1010131011323312
1132565a0860340
12117755b23b094
135864727031c9
142704b4a5222c
151287e6972c77
hex936cf54c5b0

10131011323312 has 40 divisors (see below), whose sum is σ = 21613398028992. Its totient is φ = 4561967707200.

The previous prime is 10131011323297. The next prime is 10131011323313. The reversal of 10131011323312 is 21332311013101.

10131011323312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101310113233122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (10131011323313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 268965114 + ... + 269002777.

Almost surely, 210131011323312 is an apocalyptic number.

It is an amenable number.

10131011323312 is an abundant number, since it is smaller than the sum of its proper divisors (11482386705680).

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

10131011323312 is a wasteful number, since it uses less digits than its factorization.

10131011323312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537968017 (or 537968011 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 10131011323312 its reverse (21332311013101), we get a palindrome (31463322336413).

The spelling of 10131011323312 in words is "ten trillion, one hundred thirty-one billion, eleven million, three hundred twenty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 88 107 176 214 428 856 1177 1712 2354 4708 9416 18832 537967891 1075935782 2151871564 4303743128 5917646801 8607486256 11835293602 23670587204 47341174408 57562564337 94682348816 115125128674 230250257348 460500514696 633188207707 921001029392 1266376415414 2532752830828 5065505661656 10131011323312