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20033132110218 = 2331941476230973
BaseRepresentation
bin1001000111000010100111…
…01110010010000110001010
32121221011000102101002112000
410203201103232102012022
510111210323310011333
6110335032134131430
74135226455223253
oct443412356220612
977834012332460
1020033132110218
1164240048a4907
1222b667b4b0b76
13b24168537496
144d387465bb2a
1524b19394c713
hex123853b9218a

20033132110218 has 64 divisors (see below), whose sum is σ = 48004082179200. Its totient is φ = 6171953397120.

The previous prime is 20033132110127. The next prime is 20033132110219. The reversal of 20033132110218 is 81201123133002.

20033132110218 is a `hidden beast` number, since 2 + 0 + 0 + 331 + 3 + 2 + 110 + 218 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 20033132110191 and 20033132110200.

It is not an unprimeable number, because it can be changed into a prime (20033132110219) 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, 238073421 + ... + 238157552.

It is an arithmetic number, because the mean of its divisors is an integer number (750063784050).

Almost surely, 220033132110218 is an apocalyptic number.

20033132110218 is an abundant number, since it is smaller than the sum of its proper divisors (27970950068982).

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

20033132110218 is a wasteful number, since it uses less digits than its factorization.

20033132110218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476231044 (or 476231038 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 20033132110218 in words is "twenty trillion, thirty-three billion, one hundred thirty-two million, one hundred ten thousand, two hundred eighteen".

Divisors: 1 2 3 6 9 18 19 27 38 41 54 57 82 114 123 171 246 342 369 513 738 779 1026 1107 1558 2214 2337 4674 7011 14022 21033 42066 476230973 952461946 1428692919 2857385838 4286078757 8572157514 9048388487 12858236271 18096776974 19525469893 25716472542 27145165461 39050939786 54290330922 58576409679 81435496383 117152819358 162870992766 175729229037 244306489149 351458458074 370983927967 488612978298 527187687111 741967855934 1054375374222 1112951783901 2225903567802 3338855351703 6677710703406 10016566055109 20033132110218