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10221294000200 = 2352291762292069
BaseRepresentation
bin1001010010111101010010…
…0110010001100001001000
31100012010221112221020010212
42110233110212101201020
52314431202231001300
633423333031300252
72103315123326453
oct224572446214110
940163845836125
1010221294000200
11329090aaa3798
121190b5681a688
13591b2cc693ca
142749db2d449a
1512ad2ca3a935
hex94bd4991848

10221294000200 has 48 divisors (see below), whose sum is σ = 24583974376500. Its totient is φ = 3947534232320.

The previous prime is 10221294000179. The next prime is 10221294000319. The reversal of 10221294000200 is 200049212201.

It can be written as a sum of positive squares in 6 ways, for example, as 6477014820004 + 3744279180196 = 2544998^2 + 1935014^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 881140235 + ... + 881151834.

Almost surely, 210221294000200 is an apocalyptic number.

10221294000200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221294000200 is an abundant number, since it is smaller than the sum of its proper divisors (14362680376300).

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

10221294000200 is a wasteful number, since it uses less digits than its factorization.

10221294000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1762292114 (or 1762292105 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The spelling of 10221294000200 in words is "ten trillion, two hundred twenty-one billion, two hundred ninety-four million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 232 290 580 725 1160 1450 2900 5800 1762292069 3524584138 7049168276 8811460345 14098336552 17622920690 35245841380 44057301725 51106470001 70491682760 88114603450 102212940002 176229206900 204425880004 255532350005 352458413800 408851760008 511064700010 1022129400020 1277661750025 2044258800040 2555323500050 5110647000100 10221294000200