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100221332130 = 2335371190119
BaseRepresentation
bin101110101010110101…
…0000010101010100010
3100120200121010011212000
41131111222002222202
53120223130112010
6114012510544430
710145402160453
oct1352552025242
9316617104760
10100221332130
113955a369217
121750bb08116
1395b26255ba
144bca5d712a
1529188a97c0
hex1755a82aa2

100221332130 has 32 divisors (see below), whose sum is σ = 267256886400. Its totient is φ = 26725688496.

The previous prime is 100221332093. The next prime is 100221332131. The reversal of 100221332130 is 31233122001.

100221332130 is a `hidden beast` number, since 100 + 2 + 213 + 321 + 30 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (100221332131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185594790 + ... + 185595329.

It is an arithmetic number, because the mean of its divisors is an integer number (8351777700).

Almost surely, 2100221332130 is an apocalyptic number.

100221332130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100221332130 is an abundant number, since it is smaller than the sum of its proper divisors (167035554270).

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

100221332130 is a wasteful number, since it uses less digits than its factorization.

100221332130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371190135 (or 371190129 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100221332130 its reverse (31233122001), we get a palindrome (131454454131).

The spelling of 100221332130 in words is "one hundred billion, two hundred twenty-one million, three hundred thirty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 371190119 742380238 1113570357 1855950595 2227140714 3340711071 3711901190 5567851785 6681422142 10022133213 11135703570 16703555355 20044266426 33407110710 50110666065 100221332130