Search a number
-
+
100140343141331 = 41290617657403
BaseRepresentation
bin10110110001001110111101…
…100101001010001111010011
3111010120022201200200210110002
4112301032331211022033103
5101111144410321010311
6552551501043200215
730043621025151503
oct2661167545121723
9433508650623402
10100140343141331
11299a9310060499
12b293a5237606b
1343b5269b2c33c
141aa2b65c43a03
15b89d306c293b
hex5b13bd94a3d3

100140343141331 has 12 divisors (see below), whose sum is σ = 102643651262856. Its totient is φ = 97696668996480.

The previous prime is 100140343141327. The next prime is 100140343141357. The reversal of 100140343141331 is 133141343041001.

It is not a de Polignac number, because 100140343141331 - 22 = 100140343141327 is a prime.

It is a super-2 number, since 2×1001403431413312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100140343141294 and 100140343141303.

It is not an unprimeable number, because it can be changed into a prime (100140343141361) 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, 151998476 + ... + 152655878.

It is an arithmetic number, because the mean of its divisors is an integer number (8553637605238).

Almost surely, 2100140343141331 is an apocalyptic number.

100140343141331 is a deficient number, since it is larger than the sum of its proper divisors (2503308121525).

100140343141331 is an frugal number, since it uses more digits than its factorization.

100140343141331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748102 (or 748061 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

Adding to 100140343141331 its reverse (133141343041001), we get a palindrome (233281686182332).

The spelling of 100140343141331 in words is "one hundred trillion, one hundred forty billion, three hundred forty-three million, one hundred forty-one thousand, three hundred thirty-one".

Divisors: 1 41 1681 90617 657403 3715297 26953523 152327177 1105094443 59571887651 2442447393691 100140343141331