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122135055145 = 577331600273
BaseRepresentation
bin111000110111111010…
…0010000101100101001
3102200020210122122112221
41301233310100230221
54000113033231040
6132035202034041
711552422560655
oct1615764205451
9380223578487
10122135055145
1147885066704
121b806948921
13b69562a0cc
145ca8b19a65
15329c64474a
hex1c6fd10b29

122135055145 has 8 divisors (see below), whose sum is σ = 146751672456. Its totient is φ = 97581639936.

The previous prime is 122135055121. The next prime is 122135055149. The reversal of 122135055145 is 541550531221.

It can be written as a sum of positive squares in 4 ways, for example, as 2629330729 + 119505724416 = 51277^2 + 345696^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 122135055145 - 25 = 122135055113 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 122135055145.

It is not an unprimeable number, because it can be changed into a prime (122135055149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15796272 + ... + 15804001.

It is an arithmetic number, because the mean of its divisors is an integer number (18343959057).

Almost surely, 2122135055145 is an apocalyptic number.

It is an amenable number.

122135055145 is a deficient number, since it is larger than the sum of its proper divisors (24616617311).

122135055145 is an equidigital number, since it uses as much as digits as its factorization.

122135055145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31601051.

The product of its (nonzero) digits is 30000, while the sum is 34.

Adding to 122135055145 its reverse (541550531221), we get a palindrome (663685586366).

The spelling of 122135055145 in words is "one hundred twenty-two billion, one hundred thirty-five million, fifty-five thousand, one hundred forty-five".

Divisors: 1 5 773 3865 31600273 158001365 24427011029 122135055145