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10000011021 = 37111331310639
BaseRepresentation
bin10010101000000110…
…00000111100001101
3221210220210012020120
421110003000330031
5130440000323041
64332142535153
7502544456040
oct112403007415
927726705216
1010000011021
114271822320
121b30b974b9
13c349c24b0
146ac166c57
153d7db1366
hex2540c0f0d

10000011021 has 64 divisors (see below), whose sum is σ = 17961000960. Its totient is φ = 4779440640.

The previous prime is 10000011017. The next prime is 10000011037. The reversal of 10000011021 is 12011000001.

It is not a de Polignac number, because 10000011021 - 22 = 10000011017 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000011061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 934620 + ... + 945258.

It is an arithmetic number, because the mean of its divisors is an integer number (280640640).

Almost surely, 210000011021 is an apocalyptic number.

10000011021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10000011021 is a deficient number, since it is larger than the sum of its proper divisors (7960989939).

10000011021 is a wasteful number, since it uses less digits than its factorization.

10000011021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10986.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 10000011021 its reverse (12011000001), we get a palindrome (22011011022).

The spelling of 10000011021 in words is "ten billion, eleven thousand, twenty-one".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 231 273 313 429 939 1001 2191 3003 3443 4069 6573 10329 10639 12207 24101 28483 31917 44759 72303 74473 85449 117029 134277 138307 223419 313313 351087 414921 819203 939939 968149 1521377 2457609 2904447 3330007 4564131 9990021 10649639 23310049 31948917 36630077 43290091 69930147 109890231 129870273 256410539 303030637 476191001 769231617 909091911 1428573003 3333337007 10000011021