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10133223206916 = 22317972221230567
BaseRepresentation
bin1001001101110101001100…
…1010110111000000000100
31022212201121202012101010010
42103131103022313000010
52312010320120110131
633315045524430220
72064046501045335
oct223352312670004
938781552171103
1010133223206916
113257526367217
121177a77b48370
13586735a35884
1427064470428c
151288c5c3ab46
hex937532b7004

10133223206916 has 96 divisors (see below), whose sum is σ = 25304612965632. Its totient is φ = 3144846458880.

The previous prime is 10133223206891. The next prime is 10133223206917. The reversal of 10133223206916 is 61960232233101.

It is a super-2 number, since 2×101332232069162 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10133223206917) 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 31 ways as a sum of consecutive naturals, for example, 43833865 + ... + 44064431.

It is an arithmetic number, because the mean of its divisors is an integer number (263589718392).

Almost surely, 210133223206916 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10133223206916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12652306482816).

10133223206916 is an abundant number, since it is smaller than the sum of its proper divisors (15171389758716).

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

10133223206916 is a wasteful number, since it uses less digits than its factorization.

10133223206916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232909 (or 232907 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 39.

The spelling of 10133223206916 in words is "ten trillion, one hundred thirty-three billion, two hundred twenty-three million, two hundred six thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 12 17 34 51 68 97 102 194 204 291 388 582 1164 1649 2221 3298 4442 4947 6596 6663 8884 9894 13326 19788 26652 37757 75514 113271 151028 215437 226542 230567 430874 453084 461134 646311 691701 861748 922268 1292622 1383402 2585244 2766804 3662429 3919639 7324858 7839278 10987287 11758917 14649716 15678556 21974574 22364999 23517834 43949148 44729998 47035668 67094997 89459996 134189994 268379988 380204983 512089307 760409966 1024178614 1140614949 1520819932 1536267921 2048357228 2281229898 3072535842 4562459796 6145071684 8705518219 17411036438 26116554657 34822072876 49672662779 52233109314 99345325558 104466218628 149017988337 198690651116 298035976674 596071953348 844435267243 1688870534486 2533305801729 3377741068972 5066611603458 10133223206916