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132104442242322 = 233111713082238289
BaseRepresentation
bin11110000010010111110110…
…010110100110010100010010
3122022202001122201100202212000
4132002113312112212110102
5114303344344203223242
61144543535402414430
736553142141501034
oct3602276626462422
9568661581322760
10132104442242322
11391021a7765560
1212996886501416
13589351aa5c334
142489c63a61c54
151041516790a4c
hex7825f65a6512

132104442242322 has 64 divisors (see below), whose sum is σ = 339091616476800. Its totient is φ = 37676846269440.

The previous prime is 132104442242273. The next prime is 132104442242341. The reversal of 132104442242322 is 223242244401231.

132104442242322 is a `hidden beast` number, since 1 + 3 + 2 + 10 + 44 + 42 + 242 + 322 = 666.

It is a super-4 number, since 4×1321044422423224 (a number of 58 digits) contains 4444 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 6541109047 + ... + 6541129242.

It is an arithmetic number, because the mean of its divisors is an integer number (5298306507450).

Almost surely, 2132104442242322 is an apocalyptic number.

132104442242322 is an abundant number, since it is smaller than the sum of its proper divisors (206987174234478).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132104442242322 is a wasteful number, since it uses less digits than its factorization.

132104442242322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13082238328 (or 13082238322 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 132104442242322 its reverse (223242244401231), we get a palindrome (355346686643553).

The spelling of 132104442242322 in words is "one hundred thirty-two trillion, one hundred four billion, four hundred forty-two million, two hundred forty-two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 99 102 153 187 198 297 306 374 459 561 594 918 1122 1683 3366 5049 10098 13082238289 26164476578 39246714867 78493429734 117740144601 143904621179 222398050913 235480289202 287809242358 353220433803 431713863537 444796101826 667194152739 706440867606 863427727074 1295141590611 1334388305478 2001582458217 2446378560043 2590283181222 3885424771833 4003164916434 4892757120086 6004747374651 7339135680129 7770849543666 12009494749302 14678271360258 22017407040387 44034814080774 66052221121161 132104442242322