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331203141302133 = 33741271268545773
BaseRepresentation
bin100101101001110100011110…
…1100101011111011101110101
31121102200201012101021010202010
41023103220331211133131311
5321402413013133132013
63132224342253034433
7126522431411410512
oct11323507545373565
91542621171233663
10331203141302133
11965935108a9431
1231191479a85a19
13112a6425b88209
145bb04635b6309
152845548ec97c3
hex12d3a3d95f775

331203141302133 has 32 divisors (see below), whose sum is σ = 466315772170752. Its totient is φ = 208821192307200.

The previous prime is 331203141302041. The next prime is 331203141302149.

It is a happy number.

331203141302133 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 331203141302133 - 241 = 329004118046581 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 331203141302133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331203141382133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133039566 + ... + 135506207.

It is an arithmetic number, because the mean of its divisors is an integer number (14572367880336).

Almost surely, 2331203141302133 is an apocalyptic number.

It is an amenable number.

331203141302133 is a deficient number, since it is larger than the sum of its proper divisors (135112630868619).

331203141302133 is a wasteful number, since it uses less digits than its factorization.

331203141302133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268546125.

The product of its (nonzero) digits is 11664, while the sum is 30.

The spelling of 331203141302133 in words is "three hundred thirty-one trillion, two hundred three billion, one hundred forty-one million, three hundred two thousand, one hundred thirty-three".

Divisors: 1 3 37 41 111 123 271 813 1517 4551 10027 11111 30081 33333 411107 1233321 268545773 805637319 9936193601 11010376693 29808580803 33031130079 72775904483 218327713449 407383937641 1222151812923 2692708465871 2983812083803 8078125397613 8951436251409 110401047100711 331203141302133