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331212242212133 = 1037283174415183
BaseRepresentation
bin100101101001111000101110…
…0000010101101010100100101
31121102201120200122020021020212
41023103301130002231110211
5321403040133001242013
63132232445321105205
7126523203061024022
oct11323613402552445
91542646618207225
10331212242212133
1196597361052857
1231193199928205
13112a724650a269
145bb0a88178549
1528458cce8a6a8
hex12d3c5c0ad525

331212242212133 has 8 divisors (see below), whose sum is σ = 334428429973248. Its totient is φ = 327996064738224.

The previous prime is 331212242212109. The next prime is 331212242212153.

331212242212133 is nontrivially palindromic in base 10.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-331212242212133 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 331212242212133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331212242212153) 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 7 ways as a sum of consecutive naturals, for example, 72809060 + ... + 77224242.

It is an arithmetic number, because the mean of its divisors is an integer number (41803553746656).

Almost surely, 2331212242212133 is an apocalyptic number.

It is an amenable number.

331212242212133 is a deficient number, since it is larger than the sum of its proper divisors (3216187761115).

331212242212133 is a wasteful number, since it uses less digits than its factorization.

331212242212133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5143603.

The product of its digits is 20736, while the sum is 32.

The spelling of 331212242212133 in words is "three hundred thirty-one trillion, two hundred twelve billion, two hundred forty-two million, two hundred twelve thousand, one hundred thirty-three".

Divisors: 1 103 728317 4415183 75016651 454763849 3215652837011 331212242212133