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131342430201020 = 22519772313460991
BaseRepresentation
bin11101110111010010001010…
…111001010110010010111100
3122020001012202210021021120122
4131313102022321112102330
5114203403244112413040
61143201513544034112
736444114601144133
oct3567221271262274
9566035683237518
10131342430201020
1138939014838455
1212893062162938
1358396cc06313c
14246101699691a
15102b7b84e51b5
hex77748ae564bc

131342430201020 has 48 divisors (see below), whose sum is σ = 277223635358208. Its totient is φ = 52269450723840.

The previous prime is 131342430200977. The next prime is 131342430201109. The reversal of 131342430201020 is 20102034243131.

It is a super-2 number, since 2×1313424302010202 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 284682725 + ... + 285143715.

It is an arithmetic number, because the mean of its divisors is an integer number (5775492403296).

Almost surely, 2131342430201020 is an apocalyptic number.

131342430201020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131342430201020 is an abundant number, since it is smaller than the sum of its proper divisors (145881205157188).

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

131342430201020 is a wasteful number, since it uses less digits than its factorization.

131342430201020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533510 (or 533508 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 131342430201020 its reverse (20102034243131), we get a palindrome (151444464444151).

The spelling of 131342430201020 in words is "one hundred thirty-one trillion, three hundred forty-two billion, four hundred thirty million, two hundred one thousand, twenty".

Divisors: 1 2 4 5 10 20 197 394 788 985 1970 3940 72313 144626 289252 361565 460991 723130 921982 1446260 1843964 2304955 4609910 9219820 14245661 28491322 56982644 71228305 90815227 142456610 181630454 284913220 363260908 454076135 908152270 1816304540 33335642183 66671284366 133342568732 166678210915 333356421830 666712843660 6567121510051 13134243020102 26268486040204 32835607550255 65671215100510 131342430201020