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21221120100 = 22352101700367
BaseRepresentation
bin10011110000111000…
…001001100001100100
32000202221021121010010
4103300320021201210
5321430101320400
613425430130220
71350610354545
oct236070114144
960687247103
1021221120100
118aaa850694
124142ab0970
1320026852cb
1410545524cc
15843079450
hex4f0e09864

21221120100 has 72 divisors (see below), whose sum is σ = 62007781248. Its totient is φ = 5602928000.

The previous prime is 21221120093. The next prime is 21221120113. The reversal of 21221120100 is 102112212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 319884 + ... + 380483.

It is an arithmetic number, because the mean of its divisors is an integer number (861219184).

Almost surely, 221221120100 is an apocalyptic number.

21221120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21221120100 is an abundant number, since it is smaller than the sum of its proper divisors (40786661148).

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

21221120100 is a wasteful number, since it uses less digits than its factorization.

21221120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700485 (or 700478 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21221120100 its reverse (102112212), we get a palindrome (21323232312).

The spelling of 21221120100 in words is "twenty-one billion, two hundred twenty-one million, one hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 101 150 202 300 303 404 505 606 1010 1212 1515 2020 2525 3030 5050 6060 7575 10100 15150 30300 700367 1400734 2101101 2801468 3501835 4202202 7003670 8404404 10505505 14007340 17509175 21011010 35018350 42022020 52527525 70036700 70737067 105055050 141474134 210110100 212211201 282948268 353685335 424422402 707370670 848844804 1061056005 1414741340 1768426675 2122112010 3536853350 4244224020 5305280025 7073706700 10610560050 21221120100