Search a number
-
+
2135929610331 = 3211231914911233
BaseRepresentation
bin11111000101001111010…
…100110110000001011011
321120012012121101111210100
4133011033110312001123
5234443340440012311
64313122120150443
7310213220062056
oct37051724660133
97505177344710
102135929610331
1175392a643a20
122a5b5a608423
13126556a5a96a
1475545683a9d
153a8616c2a56
hex1f14f53605b

2135929610331 has 48 divisors (see below), whose sum is σ = 3530430738432. Its totient is φ = 1231736985600.

The previous prime is 2135929610329. The next prime is 2135929610383. The reversal of 2135929610331 is 1330169295312.

2135929610331 is a `hidden beast` number, since 2 + 1 + 3 + 5 + 9 + 29 + 610 + 3 + 3 + 1 = 666.

It is not a de Polignac number, because 2135929610331 - 21 = 2135929610329 is a prime.

It is a super-2 number, since 2×21359296103312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2135929610231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2020710 + ... + 2890523.

It is an arithmetic number, because the mean of its divisors is an integer number (73550640384).

Almost surely, 22135929610331 is an apocalyptic number.

2135929610331 is a deficient number, since it is larger than the sum of its proper divisors (1394501128101).

2135929610331 is a wasteful number, since it uses less digits than its factorization.

2135929610331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4911464 (or 4911461 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The spelling of 2135929610331 in words is "two trillion, one hundred thirty-five billion, nine hundred twenty-nine million, six hundred ten thousand, three hundred thirty-one".

Divisors: 1 3 9 11 23 33 69 99 191 207 253 573 759 1719 2101 2277 4393 6303 13179 18909 39537 48323 144969 434907 4911233 14733699 44201097 54023563 112958359 162070689 338875077 486212067 938045503 1016625231 1242541949 2814136509 3727625847 8442409527 10318500533 11182877541 21575046569 30955501599 64725139707 92866504797 194175419121 237325512259 711976536777 2135929610331