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20023015122135 = 3251929807542453
BaseRepresentation
bin1001000110101111110001…
…01101000010010011010111
32121220011220100110211220200
410203113320231002103113
510111024113332402020
6110330240212031543
74134420660233214
oct443277055022327
977804810424820
1020023015122135
11641a793045a33
1222b47173025b3
13b23215538cbc
144d3194b64b0b
1524aca0681590
hex1235f8b424d7

20023015122135 has 48 divisors (see below), whose sum is σ = 37792986847200. Its totient is φ = 9768033499392.

The previous prime is 20023015122119. The next prime is 20023015122139. The reversal of 20023015122135 is 53122151032002.

20023015122135 is a `hidden beast` number, since 200 + 2 + 301 + 5 + 1 + 22 + 135 = 666.

It is not a de Polignac number, because 20023015122135 - 24 = 20023015122119 is a prime.

It is a super-2 number, since 2×200230151221352 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20023015122099 and 20023015122108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20023015122139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 403746432 + ... + 403796021.

It is an arithmetic number, because the mean of its divisors is an integer number (787353892650).

Almost surely, 220023015122135 is an apocalyptic number.

20023015122135 is a deficient number, since it is larger than the sum of its proper divisors (17769971725065).

20023015122135 is a wasteful number, since it uses less digits than its factorization.

20023015122135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807542512 (or 807542509 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 20023015122135 its reverse (53122151032002), we get a palindrome (73145166154137).

The spelling of 20023015122135 in words is "twenty trillion, twenty-three billion, fifteen million, one hundred twenty-two thousand, one hundred thirty-five".

Divisors: 1 3 5 9 15 19 29 45 57 87 95 145 171 261 285 435 551 855 1305 1653 2755 4959 8265 24795 807542453 2422627359 4037712265 7267882077 12113136795 15343306607 23418731137 36339410385 46029919821 70256193411 76716533035 117093655685 138089759463 210768580233 230149599105 351280967055 444955891603 690448797315 1053842901165 1334867674809 2224779458015 4004603024427 6674338374045 20023015122135