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10023300111 = 3112233771457
BaseRepresentation
bin10010101010110111…
…10110110000001111
3221212112121101212110
421111123312300033
5131011431100421
64334334035103
7503246434206
oct112533666017
927775541773
1010023300111
114283989800
121b38948a93
13c39787a16
146b12aa23d
153d9e61a76
hex2556f6c0f

10023300111 has 96 divisors (see below), whose sum is σ = 15999427584. Its totient is φ = 5561740800.

The previous prime is 10023300103. The next prime is 10023300139. The reversal of 10023300111 is 11100332001.

It is not a de Polignac number, because 10023300111 - 23 = 10023300103 is a prime.

It is a super-2 number, since 2×100233001112 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10023300151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21932595 + ... + 21933051.

It is an arithmetic number, because the mean of its divisors is an integer number (166660704).

Almost surely, 210023300111 is an apocalyptic number.

10023300111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10023300111 is a deficient number, since it is larger than the sum of its proper divisors (5976127473).

10023300111 is a wasteful number, since it uses less digits than its factorization.

10023300111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10023300111 its reverse (11100332001), we get a palindrome (21123632112).

The spelling of 10023300111 in words is "ten billion, twenty-three million, three hundred thousand, one hundred eleven".

Divisors: 1 3 11 23 33 37 69 71 111 121 213 253 363 407 457 759 781 851 1221 1371 1633 2343 2553 2627 2783 4477 4899 5027 7881 8349 8591 9361 10511 13431 15081 16909 17963 25773 28083 28897 31533 32447 50727 53889 55297 60421 86691 97341 102971 115621 165891 181263 185999 197593 308913 317867 346863 356917 388907 557997 592779 664631 746281 953601 1070751 1166721 1200539 1271831 1993893 2045989 2238843 3601617 3815493 3926087 4277977 6137967 7310941 8209091 11778261 12833931 13205929 21932823 24627273 27612397 39617787 47057747 82837191 90300001 141173241 145265219 270900003 303736367 435795657 911209101 3341100037 10023300111