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233102132131131 = 338633412301153
BaseRepresentation
bin110101000000000101010001…
…110010000011010100111011
31010120100100100101012220211000
4311000011101302003110323
5221023121131311144011
62143433350254140043
7100046034065036304
oct6500052162032473
91116310311186730
10233102132131131
116830107169a91a
12221889084b1623
13a00b58a6985c3
14417c2bc1797ab
151be37c4aa9356
hexd40151c8353b

233102132131131 has 8 divisors (see below), whose sum is σ = 345336492046160. Its totient is φ = 155401421420736.

The previous prime is 233102132131117. The next prime is 233102132131147. The reversal of 233102132131131 is 131131231201332.

233102132131131 is a `hidden beast` number, since 2 + 3 + 3 + 1 + 0 + 21 + 321 + 311 + 3 + 1 = 666.

It is not a de Polignac number, because 233102132131131 - 26 = 233102132131067 is a prime.

It is a super-2 number, since 2×2331021321311312 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 8633412301153 = 233102132131131 / (2 + 3 + 3 + 1 + 0 + 2 + 1 + 3 + 2 + 1 + 3 + 1 + 1 + 3 + 1).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 233102132131095 and 233102132131104.

It is not an unprimeable number, because it can be changed into a prime (233102132132131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4316706150550 + ... + 4316706150603.

It is an arithmetic number, because the mean of its divisors is an integer number (43167061505770).

Almost surely, 2233102132131131 is an apocalyptic number.

233102132131131 is a deficient number, since it is larger than the sum of its proper divisors (112234359915029).

233102132131131 is an equidigital number, since it uses as much as digits as its factorization.

233102132131131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8633412301162 (or 8633412301156 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 233102132131131 its reverse (131131231201332), we get a palindrome (364233363332463).

The spelling of 233102132131131 in words is "two hundred thirty-three trillion, one hundred two billion, one hundred thirty-two million, one hundred thirty-one thousand, one hundred thirty-one".

Divisors: 1 3 9 27 8633412301153 25900236903459 77700710710377 233102132131131