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100012221220 = 22535324175861
BaseRepresentation
bin101110100100100110…
…0010110001100100100
3100120011000122020121111
41131021030112030210
53114311112034340
6113540040554404
710140252565612
oct1351114261444
9316130566544
10100012221220
113946232308a
1217471a82a04
13957b1cb332
144baa9226b2
152905350aea
hex1749316324

100012221220 has 48 divisors (see below), whose sum is σ = 210743730288. Its totient is φ = 39868252160.

The previous prime is 100012221209. The next prime is 100012221251. The reversal of 100012221220 is 22122210001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2827899684 + 97184321536 = 53178^2 + 311744^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 100012221220.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17061090 + ... + 17066950.

It is an arithmetic number, because the mean of its divisors is an integer number (4390494381).

Almost surely, 2100012221220 is an apocalyptic number.

100012221220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100012221220 is an abundant number, since it is smaller than the sum of its proper divisors (110731509068).

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

100012221220 is a wasteful number, since it uses less digits than its factorization.

100012221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8640 (or 8638 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 100012221220 its reverse (22122210001), we get a palindrome (122134431221).

The spelling of 100012221220 in words is "one hundred billion, twelve million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 353 706 1412 1765 2417 3530 4834 5861 7060 9668 11722 12085 23444 24170 29305 48340 58610 117220 853201 1706402 2068933 3412804 4137866 4266005 8275732 8532010 10344665 14166037 17064020 20689330 28332074 41378660 56664148 70830185 141660370 283320740 5000611061 10001222122 20002444244 25003055305 50006110610 100012221220