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10000221312 = 27326042243
BaseRepresentation
bin10010101000000111…
…10100010010000000
3221210221011212201010
421110003310102000
5130440024040222
64332151240520
7502546323114
oct112403642200
927727155633
1010000221312
114271956314
121b31079140
13c34a67123
146ac1bd744
153d7e0380c
hex2540f4480

10000221312 has 32 divisors (see below), whose sum is σ = 26563088880. Its totient is φ = 3333406976.

The previous prime is 10000221307. The next prime is 10000221323. The reversal of 10000221312 is 21312200001.

It is a tau number, because it is divible by the number of its divisors (32).

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

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 3 ways as a sum of consecutive naturals, for example, 13020738 + ... + 13021505.

Almost surely, 210000221312 is an apocalyptic number.

10000221312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10000221312 is an abundant number, since it is smaller than the sum of its proper divisors (16562867568).

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

10000221312 is an equidigital number, since it uses as much as digits as its factorization.

10000221312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26042260 (or 26042248 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10000221312 its reverse (21312200001), we get a palindrome (31312421313).

The spelling of 10000221312 in words is "ten billion, two hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 26042243 52084486 78126729 104168972 156253458 208337944 312506916 416675888 625013832 833351776 1250027664 1666703552 2500055328 3333407104 5000110656 10000221312