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10001002221 = 3274312312999
BaseRepresentation
bin10010101000001101…
…10010111011101101
3221210222122112220200
421110012302323231
5130440224032341
64332220104113
7502556054610
oct112406627355
927728575820
1010001002221
114272339aa1
121b31395039
13c34c7b6c2
146ac344177
153d8009db6
hex2541b2eed

10001002221 has 48 divisors (see below), whose sum is σ = 16912896000. Its totient is φ = 5575560480.

The previous prime is 10001002213. The next prime is 10001002229. The reversal of 10001002221 is 12220010001.

It is an interprime number because it is at equal distance from previous prime (10001002213) and next prime (10001002229).

It is not a de Polignac number, because 10001002221 - 23 = 10001002213 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001002229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3333280 + ... + 3336278.

It is an arithmetic number, because the mean of its divisors is an integer number (352352000).

Almost surely, 210001002221 is an apocalyptic number.

It is an amenable number.

10001002221 is a deficient number, since it is larger than the sum of its proper divisors (6911893779).

10001002221 is a wasteful number, since it uses less digits than its factorization.

10001002221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4286 (or 4283 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10001002221 its reverse (12220010001), we get a palindrome (22221012222).

The spelling of 10001002221 in words is "ten billion, one million, two thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 43 63 129 301 387 903 1231 2709 2999 3693 8617 8997 11079 20993 25851 26991 52933 62979 77553 128957 158799 188937 370531 386871 476397 902699 1111593 1160613 2708097 3334779 3691769 8124291 11075307 25842383 33225921 77527149 158746067 232581447 476238201 1111222469 1428714603 3333667407 10001002221