Search a number
-
+
10131101212323 = 3713371002980023
BaseRepresentation
bin1001001101101101010010…
…1100000101111010100011
31022212112010212021212202210
42103123110230011322203
52311441443402243243
633314055203013203
72063643063304230
oct223332454057243
938775125255683
1010131101212323
113256637576283
12117758536a203
13586488216780
142704c2970787
151287ee7cb933
hex936d4b05ea3

10131101212323 has 32 divisors (see below), whose sum is σ = 17074731928576. Its totient is φ = 5199448434048.

The previous prime is 10131101212319. The next prime is 10131101212367. The reversal of 10131101212323 is 32321210113101.

10131101212323 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 10131101212323 - 22 = 10131101212319 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10131101212323.

It is not an unprimeable number, because it can be changed into a prime (10131101212313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 501479911 + ... + 501500112.

It is an arithmetic number, because the mean of its divisors is an integer number (533585372768).

Almost surely, 210131101212323 is an apocalyptic number.

10131101212323 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10131101212323 is a deficient number, since it is larger than the sum of its proper divisors (6943630716253).

10131101212323 is a wasteful number, since it uses less digits than its factorization.

10131101212323 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002980083.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 10131101212323 its reverse (32321210113101), we get a palindrome (42452311325424).

The spelling of 10131101212323 in words is "ten trillion, one hundred thirty-one billion, one hundred one million, two hundred twelve thousand, three hundred twenty-three".

Divisors: 1 3 7 13 21 37 39 91 111 259 273 481 777 1443 3367 10101 1002980023 3008940069 7020860161 13038740299 21062580483 37110260851 39116220897 91271182093 111330782553 259771825957 273813546279 482433391063 779315477871 1447300173189 3377033737441 10131101212323