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20012330023002 = 2321767799796893
BaseRepresentation
bin1001000110011011110111…
…10100100111100001011010
32121212011022200120120110100
410203031323310213201122
510110340222441214002
6110321312033200230
74133562123340542
oct443157364474132
977764280516410
1020012330023002
1164161aa639899
1222b2634a00076
13b22201928935
144d285da26322
1524a87759611c
hex12337bd2785a

20012330023002 has 96 divisors (see below), whose sum is σ = 46025046102672. Its totient is φ = 6262751619072.

The previous prime is 20012330022943. The next prime is 20012330023069. The reversal of 20012330023002 is 20032003321002.

It is a happy number.

20012330023002 is a `hidden beast` number, since 20 + 0 + 12 + 330 + 0 + 2 + 300 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 19485876746961 + 526453276041 = 4414281^2 + 725571^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 206492068 + ... + 206588960.

Almost surely, 220012330023002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20012330023002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23012523051336).

20012330023002 is an abundant number, since it is smaller than the sum of its proper divisors (26012716079670).

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

20012330023002 is a wasteful number, since it uses less digits than its factorization.

20012330023002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98592 (or 98589 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 20012330023002 its reverse (20032003321002), we get a palindrome (40044333344004).

The spelling of 20012330023002 in words is "twenty trillion, twelve billion, three hundred thirty million, twenty-three thousand, two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 677 997 1354 1994 2031 2991 4062 5982 6093 8973 11509 12186 16949 17946 23018 33898 34527 50847 69054 96893 101694 103581 152541 193786 207162 290679 305082 581358 674969 872037 1349938 1647181 1744074 2024907 3294362 4049814 4941543 6074721 9883086 11474473 12149442 14824629 22948946 29649258 34423419 65596561 68846838 96602321 103270257 131193122 193204642 196789683 206540514 289806963 393579366 579613926 590369049 869420889 1115141537 1180738098 1642239457 1738841778 2230283074 3284478914 3345424611 4926718371 6690849222 9853436742 10036273833 14780155113 20072547666 29560310226 65399771317 130799542634 196199313951 392398627902 588597941853 1111796112389 1177195883706 2223592224778 3335388337167 6670776674334 10006165011501 20012330023002