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10122321200 = 245225305803
BaseRepresentation
bin10010110110101011…
…00101110100110000
3222010102221012021012
421123111211310300
5131212303234300
64352232250052
7505561211345
oct113325456460
928112835235
1010122321200
114324871812
121b65b40928
13c54147a94
146c04c47cc
153e39c1435
hex25b565d30

10122321200 has 30 divisors (see below), whose sum is σ = 24318877644. Its totient is φ = 4048928320.

The previous prime is 10122321179. The next prime is 10122321281. The reversal of 10122321200 is 212322101.

It is a happy number.

10122321200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101223212002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12652502 + ... + 12653301.

Almost surely, 210122321200 is an apocalyptic number.

10122321200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122321200 is an abundant number, since it is smaller than the sum of its proper divisors (14196556444).

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

10122321200 is a wasteful number, since it uses less digits than its factorization.

10122321200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25305821 (or 25305810 counting only the distinct ones).

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

Adding to 10122321200 its reverse (212322101), we get a palindrome (10334643301).

Subtracting from 10122321200 its reverse (212322101), we obtain a palindrome (9909999099).

The spelling of 10122321200 in words is "ten billion, one hundred twenty-two million, three hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 25305803 50611606 101223212 126529015 202446424 253058030 404892848 506116060 632645075 1012232120 1265290150 2024464240 2530580300 5061160600 10122321200