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10021002201 = 327222723361
BaseRepresentation
bin10010101010100110…
…00101101111011001
3221212101021122201200
421111103011233121
5131010334032301
64334212504413
7503221053600
oct112523055731
927771248650
1010021002201
11428265a301
121b3801b109
13c39161b02
146b0c6ca37
153d9b5ac86
hex2554c5bd9

10021002201 has 18 divisors (see below), whose sum is σ = 16838011242. Its totient is φ = 5726286720.

The previous prime is 10021002151. The next prime is 10021002239. The reversal of 10021002201 is 10220012001.

It can be written as a sum of positive squares in only one way, i.e., 5617352601 + 4403649600 = 74949^2 + 66360^2 .

It is not a de Polignac number, because 10021002201 - 218 = 10020740057 is a prime.

It is a super-2 number, since 2×100210022012 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10021002241) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11361240 + ... + 11362121.

It is an arithmetic number, because the mean of its divisors is an integer number (935445069).

Almost surely, 210021002201 is an apocalyptic number.

It is an amenable number.

10021002201 is a deficient number, since it is larger than the sum of its proper divisors (6817009041).

10021002201 is a wasteful number, since it uses less digits than its factorization.

10021002201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22723381 (or 22723371 counting only the distinct ones).

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

Adding to 10021002201 its reverse (10220012001), we get a palindrome (20241014202).

The spelling of 10021002201 in words is "ten billion, twenty-one million, two thousand, two hundred one".

Divisors: 1 3 7 9 21 49 63 147 441 22723361 68170083 159063527 204510249 477190581 1113444689 1431571743 3340334067 10021002201