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10022122012201 = 1317643145348539
BaseRepresentation
bin1001000111010111010100…
…0001011011111000101001
31022111002211220200220120121
42101311311001123320221
52303200301213342301
633152033240323241
72053034345344555
oct221656501337051
938432756626517
1010022122012201
1132143a3666232
12115a430473521
1357910b35a280
14269105190865
15125a721233a1
hex91d7505be29

10022122012201 has 32 divisors (see below), whose sum is σ = 11453826142080. Its totient is φ = 8687298622464.

The previous prime is 10022122012193. The next prime is 10022122012223. The reversal of 10022122012201 is 10221022122001.

It is a happy number.

10022122012201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10022122012201 - 23 = 10022122012193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10022122082201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 206451390 + ... + 206499928.

It is an arithmetic number, because the mean of its divisors is an integer number (357932066940).

Almost surely, 210022122012201 is an apocalyptic number.

It is an amenable number.

10022122012201 is a deficient number, since it is larger than the sum of its proper divisors (1431704129879).

10022122012201 is a wasteful number, since it uses less digits than its factorization.

10022122012201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50665.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10022122012201 its reverse (10221022122001), we get a palindrome (20243144134202).

The spelling of 10022122012201 in words is "ten trillion, twenty-two billion, one hundred twenty-two million, twelve thousand, two hundred one".

Divisors: 1 13 17 221 643 1453 8359 10931 18889 24701 48539 142103 321113 631007 825163 934279 10727119 12145627 15882743 31210577 70527167 206475659 405737501 530579809 916853171 1198961839 6897537517 15586503907 45348968381 589536588953 770932462477 10022122012201