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123300122141320 = 23519534115780113
BaseRepresentation
bin11100000010010000001011…
…111110110010001010001000
3121011120101011111210202112021
4130002100023332302022020
5112130122122232010240
61114123143311254224
734654065653434015
oct3402201376621210
9534511144722467
10123300122141320
1136318319580823
12119b448151a374
1353a51c8181c37
142263a873c070c
15e3c4bc13354a
hex70240bfb2288

123300122141320 has 32 divisors (see below), whose sum is σ = 277426712608920. Its totient is φ = 49319793249280.

The previous prime is 123300122141299. The next prime is 123300122141327. The reversal of 123300122141320 is 23141221003321.

It can be written as a sum of positive squares in 4 ways, for example, as 70520391160164 + 52779730981156 = 8397642^2 + 7264966^2 .

It is not an unprimeable number, because it can be changed into a prime (123300122141327) 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, 76417 + ... + 15703696.

Almost surely, 2123300122141320 is an apocalyptic number.

123300122141320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123300122141320 is an abundant number, since it is smaller than the sum of its proper divisors (154126590467600).

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

123300122141320 is a wasteful number, since it uses less digits than its factorization.

123300122141320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15975465 (or 15975461 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 123300122141320 its reverse (23141221003321), we get a palindrome (146441343144641).

The spelling of 123300122141320 in words is "one hundred twenty-three trillion, three hundred billion, one hundred twenty-two million, one hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 195341 390682 781364 976705 1562728 1953410 3906820 7813640 15780113 31560226 63120452 78900565 126240904 157801130 315602260 631204520 3082503053533 6165006107066 12330012214132 15412515267665 24660024428264 30825030535330 61650061070660 123300122141320