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22021012100 = 2252717342487
BaseRepresentation
bin10100100000100011…
…011111101010000100
32002211200102022122202
4110200203133222010
5330044334341400
614041042414032
71406462341313
oct244043375204
962750368582
1022021012100
11938031835a
124326961318
1320cc2cac99
1410cc89027a
1588d3ce4d5
hex5208dfa84

22021012100 has 72 divisors (see below), whose sum is σ = 49123605888. Its totient is φ = 8565177600.

The previous prime is 22021012049. The next prime is 22021012109. The reversal of 22021012100 is 121012022.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (22021012109) 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, 497057 + ... + 539543.

It is an arithmetic number, because the mean of its divisors is an integer number (682272304).

Almost surely, 222021012100 is an apocalyptic number.

22021012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22021012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24561802944).

22021012100 is an abundant number, since it is smaller than the sum of its proper divisors (27102593788).

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

22021012100 is a wasteful number, since it uses less digits than its factorization.

22021012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42645 (or 42638 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 22021012100 its reverse (121012022), we get a palindrome (22142024122).

The spelling of 22021012100 in words is "twenty-two billion, twenty-one million, twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 71 73 100 142 146 284 292 355 365 710 730 1420 1460 1775 1825 3550 3650 5183 7100 7300 10366 20732 25915 42487 51830 84974 103660 129575 169948 212435 259150 424870 518300 849740 1062175 2124350 3016577 3101551 4248700 6033154 6203102 12066308 12406204 15082885 15507755 30165770 31015510 60331540 62031020 75414425 77538775 150828850 155077550 220210121 301657700 310155100 440420242 880840484 1101050605 2202101210 4404202420 5505253025 11010506050 22021012100