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123013120130 = 25171214959561
BaseRepresentation
bin111001010010000100…
…1110100000010000010
3102202111222212222021022
41302210021310002002
54003412324321010
6132302250025442
711613244161125
oct1624411640202
9382458788238
10123013120130
114819577694a
121ba10a18282
13b7a55136a4
145d4d5a63bc
1532ee78bd55
hex1ca4274082

123013120130 has 32 divisors (see below), whose sum is σ = 234471769200. Its totient is φ = 46306232320.

The previous prime is 123013120129. The next prime is 123013120157. The reversal of 123013120130 is 31021310321.

It can be written as a sum of positive squares in 8 ways, for example, as 123006622729 + 6497401 = 350723^2 + 2549^2 .

It is a super-2 number, since 2×1230131201302 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a junction number, because it is equal to n+sod(n) for n = 123013120099 and 123013120108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2035550 + ... + 2095110.

Almost surely, 2123013120130 is an apocalyptic number.

123013120130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

123013120130 is a deficient number, since it is larger than the sum of its proper divisors (111458649070).

123013120130 is a wasteful number, since it uses less digits than its factorization.

123013120130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71734.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 123013120130 its reverse (31021310321), we get a palindrome (154034430451).

The spelling of 123013120130 in words is "one hundred twenty-three billion, thirteen million, one hundred twenty thousand, one hundred thirty".

Divisors: 1 2 5 10 17 34 85 170 12149 24298 59561 60745 119122 121490 206533 297805 413066 595610 1012537 1032665 2025074 2065330 5062685 10125370 723606589 1447213178 3618032945 7236065890 12301312013 24602624026 61506560065 123013120130