Search a number
-
+
100132313331 = 3258731290049
BaseRepresentation
bin101110101000001011…
…0011101100011110011
3100120110101121120000110
41131100112131203303
53120032333011311
6114000010552403
710143241422441
oct1352026354363
9316411546013
10100132313331
1139514098066
12174a6138703
13959a05815b
144bbc863b91
152910b738a6
hex175059d8f3

100132313331 has 8 divisors (see below), whose sum is σ = 133515014800. Its totient is φ = 66752243712.

The previous prime is 100132313311. The next prime is 100132313341. The reversal of 100132313331 is 133313231001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 100132313331 - 223 = 100123924723 is a prime.

It is a super-2 number, since 2×1001323133312 (a number of 23 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 = 100132313298 and 100132313307.

It is not an unprimeable number, because it can be changed into a prime (100132313311) 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, 567406 + ... + 722643.

It is an arithmetic number, because the mean of its divisors is an integer number (16689376850).

Almost surely, 2100132313331 is an apocalyptic number.

100132313331 is a deficient number, since it is larger than the sum of its proper divisors (33382701469).

100132313331 is a wasteful number, since it uses less digits than its factorization.

100132313331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1315925.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 100132313331 its reverse (133313231001), we get a palindrome (233445544332).

The spelling of 100132313331 in words is "one hundred billion, one hundred thirty-two million, three hundred thirteen thousand, three hundred thirty-one".

Divisors: 1 3 25873 77619 1290049 3870147 33377437777 100132313331