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100132001320 = 23513192561541
BaseRepresentation
bin101110101000001010…
…1010001011000101000
3100120110101000201000111
41131100111101120220
53120032243020240
6114000000144104
710143235653001
oct1352025213050
9316411021014
10100132001320
11395139a46aa
12174a6008034
139599c79130
144bbc7c21a8
152910b111ea
hex1750551628

100132001320 has 32 divisors (see below), whose sum is σ = 242627542920. Its totient is φ = 36971815680.

The previous prime is 100132001317. The next prime is 100132001353. The reversal of 100132001320 is 23100231001.

It can be written as a sum of positive squares in 4 ways, for example, as 78589394244 + 21542607076 = 280338^2 + 146774^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 100132001320.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96280251 + ... + 96281290.

Almost surely, 2100132001320 is an apocalyptic number.

100132001320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100132001320 is an abundant number, since it is smaller than the sum of its proper divisors (142495541600).

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

100132001320 is a wasteful number, since it uses less digits than its factorization.

100132001320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192561565 (or 192561561 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 100132001320 its reverse (23100231001), we get a palindrome (123232232321).

The spelling of 100132001320 in words is "one hundred billion, one hundred thirty-two million, one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 192561541 385123082 770246164 962807705 1540492328 1925615410 2503300033 3851230820 5006600066 7702461640 10013200132 12516500165 20026400264 25033000330 50066000660 100132001320