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100221212320 = 255626382577
BaseRepresentation
bin101110101010110100…
…1100101011010100000
3100120200120220002111121
41131111221211122200
53120223112243240
6114012504222024
710145401151245
oct1352551453240
9316616802447
10100221212320
113955a2971a9
121750ba6a914
1395b25b2bc8
144bca5a55cc
15291888404a
hex1755a656a0

100221212320 has 24 divisors (see below), whose sum is σ = 236772614484. Its totient is φ = 40088484864.

The previous prime is 100221212297. The next prime is 100221212381. The reversal of 100221212320 is 23212122001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 96033051664 + 4188160656 = 309892^2 + 64716^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 100221212294 and 100221212303.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 313191129 + ... + 313191448.

Almost surely, 2100221212320 is an apocalyptic number.

100221212320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100221212320 is an abundant number, since it is smaller than the sum of its proper divisors (136551402164).

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

100221212320 is an equidigital number, since it uses as much as digits as its factorization.

100221212320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626382592 (or 626382584 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 100221212320 its reverse (23212122001), we get a palindrome (123433334321).

The spelling of 100221212320 in words is "one hundred billion, two hundred twenty-one million, two hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 626382577 1252765154 2505530308 3131912885 5011060616 6263825770 10022121232 12527651540 20044242464 25055303080 50110606160 100221212320