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123112202130 = 2345891707757
BaseRepresentation
bin111001010101000001…
…1110001111110010010
3102202202220022212020000
41302222003301332102
54004113210432010
6132320145430430
711615556311001
oct1625203617622
9382686285200
10123112202130
11482366a06a5
121ba3a03b416
13b7bcbc53a8
145d5c7d8c38
15330830e7c0
hex1caa0f1f92

123112202130 has 80 divisors (see below), whose sum is σ = 334754723160. Its totient is φ = 32461026048.

The previous prime is 123112202093. The next prime is 123112202137. The reversal of 123112202130 is 31202211321.

123112202130 is a `hidden beast` number, since 1 + 2 + 311 + 220 + 2 + 130 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 98709700761 + 24402501369 = 314181^2 + 156213^2 .

It is a super-2 number, since 2×1231122021302 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (123112202137) 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 39 ways as a sum of consecutive naturals, for example, 781789 + ... + 925968.

Almost surely, 2123112202130 is an apocalyptic number.

123112202130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

123112202130 is an abundant number, since it is smaller than the sum of its proper divisors (211642521030).

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

123112202130 is a wasteful number, since it uses less digits than its factorization.

123112202130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1707865 (or 1707856 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 123112202130 its reverse (31202211321), we get a palindrome (154314413451).

The spelling of 123112202130 in words is "one hundred twenty-three billion, one hundred twelve million, two hundred two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 89 90 135 162 178 267 270 405 445 534 801 810 890 1335 1602 2403 2670 4005 4806 7209 8010 12015 14418 24030 36045 72090 1707757 3415514 5123271 8538785 10246542 15369813 17077570 25616355 30739626 46109439 51232710 76849065 92218878 138328317 151990373 153698130 230547195 276656634 303980746 455971119 461094390 691641585 759951865 911942238 1367913357 1383283170 1519903730 2279855595 2735826714 4103740071 4559711190 6839566785 8207480142 12311220213 13679133570 20518700355 24622440426 41037400710 61556101065 123112202130