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10221130000 = 24541022113
BaseRepresentation
bin10011000010011101…
…00001000100010000
3222101022212012110101
421201032201010100
5131413102130000
64410122142144
7511201112554
oct114116410420
928338765411
1010221130000
11437561a284
121b93051954
13c6b762323
146cd685864
153ec4dce6a
hex2613a1110

10221130000 has 50 divisors (see below), whose sum is σ = 24746402054. Its totient is φ = 4088448000.

The previous prime is 10221129959. The next prime is 10221130013. The reversal of 10221130000 is 3112201.

It can be written as a sum of positive squares in 5 ways, for example, as 5884117264 + 4337012736 = 76708^2 + 65856^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 501057 + ... + 521056.

Almost surely, 210221130000 is an apocalyptic number.

10221130000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221130000 is an abundant number, since it is smaller than the sum of its proper divisors (14525272054).

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

10221130000 is an equidigital number, since it uses as much as digits as its factorization.

10221130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022141 (or 1022120 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 10221130000 its reverse (3112201), we get a palindrome (10224242201).

The spelling of 10221130000 in words is "ten billion, two hundred twenty-one million, one hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 1022113 2044226 4088452 5110565 8176904 10221130 16353808 20442260 25552825 40884520 51105650 81769040 102211300 127764125 204422600 255528250 408845200 511056500 638820625 1022113000 1277641250 2044226000 2555282500 5110565000 10221130000