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331232060232133 = 19210150318060751
BaseRepresentation
bin100101101010000001111100…
…1010010011101000111000101
31121102210110211210022222212121
41023110003321102131013011
5321403401224404412013
63132245524030045541
7126524504143305004
oct11324037122350705
91542713753288777
10331232060232133
11965a4800887585
1231196baa9498b1
13112a9084299a08
145bb1a0820cc3b
15284618cc5b58d
hex12d40f949d1c5

331232060232133 has 24 divisors (see below), whose sum is σ = 353745979888896. Its totient is φ = 310074180300000.

The previous prime is 331232060232097. The next prime is 331232060232137.

331232060232133 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 331232060232133 - 29 = 331232060231621 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331232060232137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9309508 + ... + 27370258.

It is an arithmetic number, because the mean of its divisors is an integer number (14739415828704).

Almost surely, 2331232060232133 is an apocalyptic number.

It is an amenable number.

331232060232133 is a deficient number, since it is larger than the sum of its proper divisors (22513919656763).

331232060232133 is a wasteful number, since it uses less digits than its factorization.

331232060232133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18061393 (or 18061374 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 34.

The spelling of 331232060232133 in words is "three hundred thirty-one trillion, two hundred thirty-two billion, sixty million, two hundred thirty-two thousand, one hundred thirty-three".

Divisors: 1 19 101 361 503 1919 9557 36461 50803 181583 965257 18060751 18339883 343154269 1824135851 6519931111 9084557753 34658581169 172606597307 658513042211 917540333053 3279525348833 17433266328007 331232060232133