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123135172752 = 24317279753951
BaseRepresentation
bin111001010101101101…
…1011010000010010000
3102202211111112212222210
41302223123122002100
54004140101012002
6132322330032120
711616255461514
oct1625333320220
9382744485883
10123135172752
114824865a889
121ba45878640
13b7c48a8987
145d61898144
15330a34a96c
hex1cab6da090

123135172752 has 80 divisors (see below), whose sum is σ = 336937577472. Its totient is φ = 38616115200.

The previous prime is 123135172723. The next prime is 123135172753. The reversal of 123135172752 is 257271531321.

It is a self number, because there is not a number n which added to its sum of digits gives 123135172752.

It is not an unprimeable number, because it can be changed into a prime (123135172753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2255377 + ... + 2309327.

Almost surely, 2123135172752 is an apocalyptic number.

123135172752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123135172752 is an abundant number, since it is smaller than the sum of its proper divisors (213802404720).

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

123135172752 is a wasteful number, since it uses less digits than its factorization.

123135172752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56776 (or 56770 counting only the distinct ones).

The product of its digits is 88200, while the sum is 39.

The spelling of 123135172752 in words is "one hundred twenty-three billion, one hundred thirty-five million, one hundred seventy-two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 816 2797 5594 8391 11188 16782 22376 33564 44752 47549 53951 67128 95098 107902 134256 142647 161853 190196 215804 285294 323706 380392 431608 570588 647412 760784 863216 917167 1141176 1294824 1834334 2282352 2589648 2751501 3668668 5503002 7337336 11006004 14674672 22012008 44024016 150900947 301801894 452702841 603603788 905405682 1207207576 1810811364 2414415152 2565316099 3621622728 5130632198 7243245456 7695948297 10261264396 15391896594 20522528792 30783793188 41045057584 61567586376 123135172752