Search a number
-
+
130122121312323 = 3273735537347177
BaseRepresentation
bin11101100101100001101010…
…110100010111100001000011
3122001201112221100210201201100
4131211201222310113201003
5114023410101023443243
61140425135521305443
736260004316554060
oct3545415264274103
9561645840721640
10130122121312323
1138508533227728
1212716657195283
13577b6040acc3a
14241bd3113bc67
151009b958c60d3
hex76586ad17843

130122121312323 has 24 divisors (see below), whose sum is σ = 215380655835488. Its totient is φ = 74156153380992.

The previous prime is 130122121312321. The next prime is 130122121312333. The reversal of 130122121312323 is 323213121221031.

130122121312323 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 2 + 2 + 1 + 21 + 312 + 323 = 666.

It is not a de Polignac number, because 130122121312323 - 21 = 130122121312321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (130122121312321) 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 23 ways as a sum of consecutive naturals, for example, 2768650090 + ... + 2768697087.

Almost surely, 2130122121312323 is an apocalyptic number.

130122121312323 is a deficient number, since it is larger than the sum of its proper divisors (85258534523165).

130122121312323 is a wasteful number, since it uses less digits than its factorization.

130122121312323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5537347563 (or 5537347560 counting only the distinct ones).

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

Adding to 130122121312323 its reverse (323213121221031), we get a palindrome (453335242533354).

The spelling of 130122121312323 in words is "one hundred thirty trillion, one hundred twenty-two billion, one hundred twenty-one million, three hundred twelve thousand, three hundred twenty-three".

Divisors: 1 3 7 9 21 63 373 1119 2611 3357 7833 23499 5537347177 16612041531 38761430239 49836124593 116284290717 348852872151 2065430497021 6196291491063 14458013479147 18588874473189 43374040437441 130122121312323