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20135143522512 = 24323722916502701
BaseRepresentation
bin1001001010000000101000…
…00100111100000011010000
32122021220022202211202201100
410211000110010330003100
510114343233220210022
6110453542432504400
74145500425014454
oct445002404740320
978256282752640
1020135143522512
1164632a2661817
1223123aa9ab100
13b309749888c5
144d87908a8664
1524db645511ac
hex12501413c0d0

20135143522512 has 120 divisors (see below), whose sum is σ = 58126147038440. Its totient is φ = 6501799756800.

The previous prime is 20135143522511. The next prime is 20135143522589. The reversal of 20135143522512 is 21522534153102.

20135143522512 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 51 + 4 + 352 + 251 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11196813514896 + 8938330007616 = 3346164^2 + 2989704^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20135143522511) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7031239 + ... + 9471462.

Almost surely, 220135143522512 is an apocalyptic number.

It is an amenable number.

20135143522512 is an abundant number, since it is smaller than the sum of its proper divisors (37991003515928).

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

20135143522512 is a wasteful number, since it uses less digits than its factorization.

20135143522512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16502981 (or 16502972 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 20135143522512 its reverse (21522534153102), we get a palindrome (41657677675614).

The spelling of 20135143522512 in words is "twenty trillion, one hundred thirty-five billion, one hundred forty-three million, five hundred twenty-two thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 229 296 333 444 458 592 666 687 888 916 1332 1374 1776 1832 2061 2664 2748 3664 4122 5328 5496 8244 8473 10992 16488 16946 25419 32976 33892 50838 67784 76257 101676 135568 152514 203352 305028 406704 610056 1220112 16502701 33005402 49508103 66010804 99016206 132021608 148524309 198032412 264043216 297048618 396064824 594097236 610599937 792129648 1188194472 1221199874 1831799811 2376388944 2442399748 3663599622 3779118529 4884799496 5495399433 7327199244 7558237058 9769598992 10990798866 11337355587 14654398488 15116474116 21981597732 22674711174 29308796976 30232948232 34012066761 43963195464 45349422348 60465896464 68024133522 87926390928 90698844696 136048267044 139827385573 181397689392 272096534088 279654771146 419482156719 544193068176 559309542292 838964313438 1118619084584 1258446470157 1677928626876 2237238169168 2516892940314 3355857253752 5033785880628 6711714507504 10067571761256 20135143522512