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10221321200 = 2452101253003
BaseRepresentation
bin10011000010011110…
…01111101111110000
3222101100012220201212
421201033033233300
5131413124234300
64410130215252
7511202540156
oct114117175760
928340186655
1010221321200
11437573a9a2
121b93124528
13c6b7cb36c
146cd6d53d6
153ec529935
hex2613cfbf0

10221321200 has 60 divisors (see below), whose sum is σ = 24799958088. Its totient is φ = 4048032000.

The previous prime is 10221321137. The next prime is 10221321239. The reversal of 10221321200 is 212312201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86102 + ... + 166901.

Almost surely, 210221321200 is an apocalyptic number.

10221321200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221321200 is an abundant number, since it is smaller than the sum of its proper divisors (14578636888).

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

10221321200 is a wasteful number, since it uses less digits than its factorization.

10221321200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253122 (or 253111 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10221321200 its reverse (212312201), we get a palindrome (10433633401).

The spelling of 10221321200 in words is "ten billion, two hundred twenty-one million, three hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 101 200 202 400 404 505 808 1010 1616 2020 2525 4040 5050 8080 10100 20200 40400 253003 506006 1012012 1265015 2024024 2530030 4048048 5060060 6325075 10120120 12650150 20240240 25300300 25553303 50600600 51106606 101201200 102213212 127766515 204426424 255533030 408852848 511066060 638832575 1022132120 1277665150 2044264240 2555330300 5110660600 10221321200