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131142410230200 = 23352331616591197
BaseRepresentation
bin11101110100010111111000…
…110001101101100110111000
3122012100002111001101222021020
4131310113320301231212320
5114142114124004331300
61142525554101542440
736423504115352145
oct3564277061554670
9565302431358236
10131142410230200
1138871202776946
121286033ba14a20
1358238a3870c15
14245547dd973cc
1510264ad4288a0
hex7745f8c6d9b8

131142410230200 has 96 divisors (see below), whose sum is σ = 406553793021360. Its totient is φ = 34970249497600.

The previous prime is 131142410230171. The next prime is 131142410230379. The reversal of 131142410230200 is 2032014241131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16601002 + ... + 23192198.

Almost surely, 2131142410230200 is an apocalyptic number.

131142410230200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131142410230200 is an abundant number, since it is smaller than the sum of its proper divisors (275411382791160).

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

131142410230200 is a wasteful number, since it uses less digits than its factorization.

131142410230200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6624377 (or 6624368 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 131142410230200 its reverse (2032014241131), we get a palindrome (133174424471331).

The spelling of 131142410230200 in words is "one hundred thirty-one trillion, one hundred forty-two billion, four hundred ten million, two hundred thirty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 33161 66322 99483 132644 165805 198966 265288 331610 397932 497415 663220 795864 829025 994830 1326440 1658050 1989660 2487075 3316100 3979320 4974150 6591197 6632200 9948300 13182394 19773591 19896600 26364788 32955985 39547182 52729576 65911970 79094364 98867955 131823940 158188728 164779925 197735910 263647880 329559850 395471820 494339775 659119700 790943640 988679550 1318239400 1977359100 3954718200 218570683717 437141367434 655712051151 874282734868 1092853418585 1311424102302 1748565469736 2185706837170 2622848204604 3278560255755 4371413674340 5245696409208 5464267092925 6557120511510 8742827348680 10928534185850 13114241023020 16392801278775 21857068371700 26228482046040 32785602557550 43714136743400 65571205115100 131142410230200