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10217202016 = 257101451609
BaseRepresentation
bin10011000001111111…
…00010000101100000
3222101001110122021111
421200333202011200
5131411100431031
64405502033104
7511122532660
oct114077420540
928331418244
1010217202016
11437338710a
121b91878794
13c6a9b8488
146ccd421a0
153ebeb41b1
hex260fe2160

10217202016 has 48 divisors (see below), whose sum is σ = 23216366880. Its totient is φ = 4335436800.

The previous prime is 10217202013. The next prime is 10217202067. The reversal of 10217202016 is 61020271201.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10217202013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 203181 + ... + 248428.

It is an arithmetic number, because the mean of its divisors is an integer number (483674310).

Almost surely, 210217202016 is an apocalyptic number.

10217202016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10217202016 is an abundant number, since it is smaller than the sum of its proper divisors (12999164864).

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

10217202016 is a wasteful number, since it uses less digits than its factorization.

10217202016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451727 (or 451719 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

Adding to 10217202016 its reverse (61020271201), we get a palindrome (71237473217).

The spelling of 10217202016 in words is "ten billion, two hundred seventeen million, two hundred two thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 101 112 202 224 404 707 808 1414 1616 2828 3232 5656 11312 22624 451609 903218 1806436 3161263 3612872 6322526 7225744 12645052 14451488 25290104 45612509 50580208 91225018 101160416 182450036 319287563 364900072 638575126 729800144 1277150252 1459600288 2554300504 5108601008 10217202016