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323212121210133 = 33376713213655481
BaseRepresentation
bin100100101111101011010111…
…1101010111111110100010101
31120101101202222110011022212000
41021133112233222333310111
5314331001411012211013
63103225333151345513
7125036206445351121
oct11137265752776425
91511352873138760
10323212121210133
1193a92544333a71
1230300811522299
1310b46a0682b0ac
1459b579b7dc581
1527577505c2973
hex125f5afabfd15

323212121210133 has 64 divisors (see below), whose sum is σ = 499492079005440. Its totient is φ = 206365590604800.

The previous prime is 323212121210093. The next prime is 323212121210137. The reversal of 323212121210133 is 331012121212323.

323212121210133 is a `hidden beast` number, since 3 + 2 + 321 + 2 + 121 + 210 + 1 + 3 + 3 = 666.

It is not a de Polignac number, because 323212121210133 - 222 = 323212117015829 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 323212121210097 and 323212121210106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (323212121210137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86590753 + ... + 90246233.

It is an arithmetic number, because the mean of its divisors is an integer number (7804563734460).

Almost surely, 2323212121210133 is an apocalyptic number.

It is an amenable number.

323212121210133 is a deficient number, since it is larger than the sum of its proper divisors (176279957795307).

323212121210133 is a wasteful number, since it uses less digits than its factorization.

323212121210133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3656915 (or 3656909 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 323212121210133 its reverse (331012121212323), we get a palindrome (654224242422456).

The spelling of 323212121210133 in words is "three hundred twenty-three trillion, two hundred twelve billion, one hundred twenty-one million, two hundred ten thousand, one hundred thirty-three".

Divisors: 1 3 9 27 37 67 111 201 333 603 999 1321 1809 2479 3963 7437 11889 22311 35667 48877 66933 88507 146631 265521 439893 796563 1319679 2389689 3274759 3655481 9824277 10966443 29472831 32899329 88418493 98697987 135252797 244917227 405758391 734751681 1217275173 2204255043 3651825519 4828890401 6612765129 9061937399 14486671203 27185812197 43460013609 81557436591 130380040827 178668944837 244672309773 323535656867 536006834511 970606970601 1608020503533 2911820911803 4824061510599 8735462735409 11970819304079 35912457912237 107737373736711 323212121210133