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131141341010420 = 22513504389773117
BaseRepresentation
bin11101110100010110111001…
…000010111101100111110100
3122012022222201112110222110122
4131310112321002331213310
5114142104431244313140
61142525300024511112
736423435453214256
oct3564267102754764
9565288645428418
10131141341010420
1138870804175234
12128600a191b498
1358237631a93b0
1424553bbd8bcd6
151026449622ab5
hex7745b90bd9f4

131141341010420 has 24 divisors (see below), whose sum is σ = 296581186593384. Its totient is φ = 48421418219136.

The previous prime is 131141341010341. The next prime is 131141341010501. The reversal of 131141341010420 is 24010143141131.

It can be written as a sum of positive squares in 4 ways, for example, as 2992194201616 + 128149146808804 = 1729796^2 + 11320298^2 .

It is a super-2 number, since 2×1311413410104202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 131141341010420.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 252194886299 + ... + 252194886818.

It is an arithmetic number, because the mean of its divisors is an integer number (12357549441391).

Almost surely, 2131141341010420 is an apocalyptic number.

131141341010420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131141341010420 is an abundant number, since it is smaller than the sum of its proper divisors (165439845582964).

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

131141341010420 is a wasteful number, since it uses less digits than its factorization.

131141341010420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504389773139 (or 504389773137 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

Adding to 131141341010420 its reverse (24010143141131), we get a palindrome (155151484151551).

The spelling of 131141341010420 in words is "one hundred thirty-one trillion, one hundred forty-one billion, three hundred forty-one million, ten thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 504389773117 1008779546234 2017559092468 2521948865585 5043897731170 6557067050521 10087795462340 13114134101042 26228268202084 32785335252605 65570670505210 131141341010420