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323300102123133 = 3253926166613817
BaseRepresentation
bin100100110000010100010101…
…1101111100010111001111101
31120101201012001222202210022100
41021200220223233202321331
5314333422102120420013
63103334003323535313
7125045442626645502
oct11140505357427175
91511635058683270
10323300102123133
1194016892261113
123031588608a539
1310b520b8252325
1459b9b464b34a9
152759b9e56b473
hex1260a2bbe2e7d

323300102123133 has 12 divisors (see below), whose sum is σ = 466989909390108. Its totient is φ = 215532998496960.

The previous prime is 323300102123123. The next prime is 323300102123137. The reversal of 323300102123133 is 331321201003323.

323300102123133 is a `hidden beast` number, since 3 + 2 + 3 + 300 + 10 + 212 + 3 + 133 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 190211623308729 + 133088478814404 = 13791723^2 + 11536398^2 .

It is not a de Polignac number, because 323300102123133 - 220 = 323300101074557 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 323300102123097 and 323300102123106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (323300102123137) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28453560 + ... + 38160257.

It is an arithmetic number, because the mean of its divisors is an integer number (38915825782509).

Almost surely, 2323300102123133 is an apocalyptic number.

It is an amenable number.

323300102123133 is a deficient number, since it is larger than the sum of its proper divisors (143689807266975).

323300102123133 is a wasteful number, since it uses less digits than its factorization.

323300102123133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67153084 (or 67153081 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 323300102123133 its reverse (331321201003323), we get a palindrome (654621303126456).

The spelling of 323300102123133 in words is "three hundred twenty-three trillion, three hundred billion, one hundred two million, one hundred twenty-three thousand, one hundred thirty-three".

Divisors: 1 3 9 539261 1617783 4853349 66613817 199841451 599524353 35922233569237 107766700707711 323300102123133