Search a number
-
+
100132314102 = 2332323505297
BaseRepresentation
bin101110101000001011…
…0011101101111110110
3100120110101121121002000
41131100112131233312
53120032333022402
6114000011000130
710143241424622
oct1352026355766
9316411547060
10100132314102
11395140986a7
12174a6139046
13959a058602
144bbc864182
152910b73c1c
hex175059dbf6

100132314102 has 48 divisors (see below), whose sum is σ = 232611575280. Its totient is φ = 31926235968.

The previous prime is 100132314101. The next prime is 100132314103. The reversal of 100132314102 is 201413231001.

100132314102 is a `hidden beast` number, since 10 + 0 + 13 + 231 + 410 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (100132314101) and next prime (100132314103).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100132314101) 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, 1724083 + ... + 1781214.

It is an arithmetic number, because the mean of its divisors is an integer number (4846074485).

Almost surely, 2100132314102 is an apocalyptic number.

100132314102 is an abundant number, since it is smaller than the sum of its proper divisors (132479261178).

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

100132314102 is a wasteful number, since it uses less digits than its factorization.

100132314102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3505354 (or 3505325 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100132314102 its reverse (201413231001), we get a palindrome (301545545103).

The spelling of 100132314102 in words is "one hundred billion, one hundred thirty-two million, three hundred fourteen thousand, one hundred two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 138 207 414 529 621 1058 1242 1587 3174 4761 9522 14283 28566 3505297 7010594 10515891 21031782 31547673 63095346 80621831 94643019 161243662 189286038 241865493 483730986 725596479 1451192958 1854302113 2176789437 3708604226 4353578874 5562906339 11125812678 16688719017 33377438034 50066157051 100132314102