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131141403020420 = 22513504390011617
BaseRepresentation
bin11101110100010110111100…
…101111100000110010000100
3122012022222212212011102012022
4131310112330233200302010
5114142110043133123140
61142525310121542312
736423440135252402
oct3564267457406204
9565288785142168
10131141403020420
1138870836179271
12128600ba644998
135823772cab1c0
1424553c62d0472
15102644ecc10b5
hex7745bcbe0c84

131141403020420 has 24 divisors (see below), whose sum is σ = 296581326831384. Its totient is φ = 48421441115136.

The previous prime is 131141403020417. The next prime is 131141403020423. The reversal of 131141403020420 is 24020304141131.

It is an interprime number because it is at equal distance from previous prime (131141403020417) and next prime (131141403020423).

It can be written as a sum of positive squares in 4 ways, for example, as 4063038427204 + 127078364593216 = 2015698^2 + 11272904^2 .

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 131141403020420.

It is not an unprimeable number, because it can be changed into a prime (131141403020423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 252195005549 + ... + 252195006068.

It is an arithmetic number, because the mean of its divisors is an integer number (12357555284641).

Almost surely, 2131141403020420 is an apocalyptic number.

131141403020420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131141403020420 is an abundant number, since it is smaller than the sum of its proper divisors (165439923810964).

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

131141403020420 is a wasteful number, since it uses less digits than its factorization.

131141403020420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504390011639 (or 504390011637 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 131141403020420 its reverse (24020304141131), we get a palindrome (155161707161551).

The spelling of 131141403020420 in words is "one hundred thirty-one trillion, one hundred forty-one billion, four hundred three million, twenty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 504390011617 1008780023234 2017560046468 2521950058085 5043900116170 6557070151021 10087800232340 13114140302042 26228280604084 32785350755105 65570701510210 131141403020420