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131420171520 = 283351132857
BaseRepresentation
bin111101001100101000…
…0001010110100000000
3110120012220020102201000
41322121100022310000
54123122030442040
6140212410212000
712331500012051
oct1723120126400
9416186212630
10131420171520
115080a296000
1221578424000
13c515196801
146509d4c728
153642890130
hex1e9940ad00

131420171520 has 576 divisors, whose sum is σ = 513139495680. Its totient is φ = 31848284160.

The previous prime is 131420171503. The next prime is 131420171557. The reversal of 131420171520 is 25171024131.

131420171520 is a `hidden beast` number, since 1 + 31 + 42 + 0 + 1 + 71 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×1314201715202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45997932 + ... + 46000788.

It is an arithmetic number, because the mean of its divisors is an integer number (890867180).

Almost surely, 2131420171520 is an apocalyptic number.

131420171520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131420171520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256569747840).

131420171520 is an abundant number, since it is smaller than the sum of its proper divisors (381719324160).

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

131420171520 is an equidigital number, since it uses as much as digits as its factorization.

131420171520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2920 (or 2878 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

Adding to 131420171520 its reverse (25171024131), we get a palindrome (156591195651).

The spelling of 131420171520 in words is "one hundred thirty-one billion, four hundred twenty million, one hundred seventy-one thousand, five hundred twenty".