Search a number
-
+
20152102131 = 3371031139161
BaseRepresentation
bin10010110001001010…
…001010110011110011
31221000102201212011000
4102301022022303303
5312232414232011
613131401253043
71312250020230
oct226112126363
957012655130
1020152102131
118601377667
123aa4a94183
131b920615b5
14d9259a787
157ce2b3356
hex4b128acf3

20152102131 has 64 divisors (see below), whose sum is σ = 34759895040. Its totient is φ = 11301534720.

The previous prime is 20152102109. The next prime is 20152102147. The reversal of 20152102131 is 13120125102.

It is not a de Polignac number, because 20152102131 - 25 = 20152102099 is a prime.

It is a super-2 number, since 2×201521021312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20152102631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2195191 + ... + 2204351.

It is an arithmetic number, because the mean of its divisors is an integer number (543123360).

Almost surely, 220152102131 is an apocalyptic number.

20152102131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

20152102131 is a deficient number, since it is larger than the sum of its proper divisors (14607792909).

20152102131 is a wasteful number, since it uses less digits than its factorization.

20152102131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9393 (or 9387 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 20152102131 its reverse (13120125102), we get a palindrome (33272227233).

The spelling of 20152102131 in words is "twenty billion, one hundred fifty-two million, one hundred two thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 27 63 103 113 189 309 339 721 791 927 1017 2163 2373 2781 3051 6489 7119 9161 11639 19467 21357 27483 34917 64127 81473 82449 104751 192381 244419 247347 314253 577143 733257 943583 1035193 1731429 2199771 2830749 3105579 6605081 7246351 8492247 9316737 19815243 21739053 25476741 27950211 59445729 65217159 106624879 178337187 195651477 319874637 746374153 959623911 2239122459 2878871733 6717367377 20152102131