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131141324022100 = 22527260177200859
BaseRepresentation
bin11101110100010110111000…
…000010001010000101010100
3122012022222200100111212212121
4131310112320002022011110
5114142104412422201400
61142525254220425324
736423435155630530
oct3564267002120524
9565288610455777
10131141324022100
11388707a56216a7
12128600980a8244
13582375c80ba32
1424553b9a08bc0
151026447db921a
hex7745b808a154

131141324022100 has 72 divisors (see below), whose sum is σ = 325243029433280. Its totient is φ = 44961005214720.

The previous prime is 131141324022073. The next prime is 131141324022109. The reversal of 131141324022100 is 1220423141131.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131141324022109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14611471 + ... + 21812329.

Almost surely, 2131141324022100 is an apocalyptic number.

131141324022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131141324022100 is an abundant number, since it is smaller than the sum of its proper divisors (194101705411180).

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

131141324022100 is a wasteful number, since it uses less digits than its factorization.

131141324022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7226897 (or 7226890 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 131141324022100 its reverse (1220423141131), we get a palindrome (132361747163231).

The spelling of 131141324022100 in words is "one hundred thirty-one trillion, one hundred forty-one billion, three hundred twenty-four million, twenty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 26017 52034 104068 130085 182119 260170 364238 520340 650425 728476 910595 1300850 1821190 2601700 3642380 4552975 7200859 9105950 14401718 18211900 28803436 36004295 50406013 72008590 100812026 144017180 180021475 201624052 252030065 360042950 504060130 720085900 1008120260 1260150325 2520300650 5040601300 187344748603 374689497206 749378994412 936723743015 1311413240221 1873447486030 2622826480442 3746894972060 4683618715075 5245652960884 6557066201105 9367237430150 13114132402210 18734474860300 26228264804420 32785331005525 65570662011050 131141324022100