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2133122332131 = 327217284530123
BaseRepresentation
bin11111000010100111111…
…111111011010111100011
321112220221222000000001200
4133002213333323113203
5234422113304112011
64311535354332243
7310053521441400
oct37024777732743
97486858000050
102133122332131
11752719a4529a
122a54b642a083
131261ca2829bb
147535a8c72a7
153a749eeb856
hex1f0a7ffb5e3

2133122332131 has 36 divisors (see below), whose sum is σ = 3795062793912. Its totient is φ = 1147225451904.

The previous prime is 2133122332109. The next prime is 2133122332147. The reversal of 2133122332131 is 1312332213312.

2133122332131 is a `hidden beast` number, since 2 + 1 + 3 + 312 + 2 + 332 + 13 + 1 = 666.

It is not a de Polignac number, because 2133122332131 - 210 = 2133122331107 is a prime.

It is a super-2 number, since 2×21331223321312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2133122332095 and 2133122332104.

It is not an unprimeable number, because it can be changed into a prime (2133122333131) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 142257565 + ... + 142272558.

It is an arithmetic number, because the mean of its divisors is an integer number (105418410942).

Almost surely, 22133122332131 is an apocalyptic number.

2133122332131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2133122332131 is a deficient number, since it is larger than the sum of its proper divisors (1661940461781).

2133122332131 is a wasteful number, since it uses less digits than its factorization.

2133122332131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284530160 (or 284530150 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

Adding to 2133122332131 its reverse (1312332213312), we get a palindrome (3445454545443).

The spelling of 2133122332131 in words is "two trillion, one hundred thirty-three billion, one hundred twenty-two million, three hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 3 7 9 17 21 49 51 63 119 147 153 357 441 833 1071 2499 7497 284530123 853590369 1991710861 2560771107 4837012091 5975132583 13941976027 14511036273 17925397749 33859084637 41825928081 43533108819 101577253911 125477784243 237013592459 304731761733 711040777377 2133122332131