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331041020140133 = 4573301219442169
BaseRepresentation
bin100101101000101000111111…
…0011010010101101001100101
31121102010012201212200210111122
41023101101332122111221211
5321342234002123441013
63132022051205543325
7126504632040311522
oct11321217632255145
91542105655623448
10331041020140133
1196530787713926
1231165b73a14b45
131129405a331464
145ba66840a8149
15284120b1e4a08
hex12d147e695a65

331041020140133 has 8 divisors (see below), whose sum is σ = 331865904765720. Its totient is φ = 330216574406400.

The previous prime is 331041020140109. The next prime is 331041020140157.

331041020140133 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (331041020140109) and next prime (331041020140157).

It can be written as a sum of positive squares in 4 ways, for example, as 128095267854724 + 202945752285409 = 11317918^2 + 14245903^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 331041020140133 - 28 = 331041020139877 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 (331041020140933) 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, 108212528 + ... + 111229641.

It is an arithmetic number, because the mean of its divisors is an integer number (41483238095715).

Almost surely, 2331041020140133 is an apocalyptic number.

It is an amenable number.

331041020140133 is a deficient number, since it is larger than the sum of its proper divisors (824884625587).

331041020140133 is a wasteful number, since it uses less digits than its factorization.

331041020140133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219445927.

The product of its (nonzero) digits is 2592, while the sum is 26.

The spelling of 331041020140133 in words is "three hundred thirty-one trillion, forty-one billion, twenty million, one hundred forty thousand, one hundred thirty-three".

Divisors: 1 457 3301 1508557 219442169 100285071233 724378599869 331041020140133