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131342430201820 = 22537456413888823
BaseRepresentation
bin11101110111010010001010…
…111001010110011111011100
3122020001012202210021022200021
4131313102022321112133130
5114203403244112424240
61143201513544041524
736444114601146355
oct3567221271263734
9566035683238607
10131342430201820
1138939014839012
12128930621632a4
1358396cc063606
142461016996d2c
15102b7b84e554a
hex77748ae567dc

131342430201820 has 48 divisors (see below), whose sum is σ = 283279953192768. Its totient is φ = 51115920791040.

The previous prime is 131342430201797. The next prime is 131342430201821. The reversal of 131342430201820 is 28102034243131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131342430201821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31829929 + ... + 35718751.

It is an arithmetic number, because the mean of its divisors is an integer number (5901665691516).

Almost surely, 2131342430201820 is an apocalyptic number.

131342430201820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131342430201820 is an abundant number, since it is smaller than the sum of its proper divisors (151937522990948).

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

131342430201820 is a wasteful number, since it uses less digits than its factorization.

131342430201820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3934510 (or 3934508 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

Adding to 131342430201820 its reverse (28102034243131), we get a palindrome (159444464444951).

The spelling of 131342430201820 in words is "one hundred thirty-one trillion, three hundred forty-two billion, four hundred thirty million, two hundred one thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 45641 91282 182564 228205 456410 912820 1688717 3377434 3888823 6754868 7777646 8443585 15555292 16887170 19444115 33774340 38888230 77776460 143886451 287772902 575545804 719432255 1438864510 2877729020 177489770543 354979541086 709959082172 887448852715 1774897705430 3549795410860 6567121510091 13134243020182 26268486040364 32835607550455 65671215100910 131342430201820