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131524140420 = 22345194322311
BaseRepresentation
bin111101001111101110…
…0110001110110000100
3110120111010212121020000
41322133130301312010
54123330134443140
6140231002441300
712334201514301
oct1723734616604
9416433777200
10131524140420
1150862a48412
12215a7203230
13c53089997a
146519a940a8
15364ba7aa30
hex1e9f731d84

131524140420 has 360 divisors, whose sum is σ = 444839250240. Its totient is φ = 32440383360.

The previous prime is 131524140409. The next prime is 131524140427. The reversal of 131524140420 is 24041425131.

131524140420 is a `hidden beast` number, since 1 + 3 + 15 + 241 + 404 + 2 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131524140427) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 56911065 + ... + 56913375.

It is an arithmetic number, because the mean of its divisors is an integer number (1235664584).

Almost surely, 2131524140420 is an apocalyptic number.

131524140420 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 131524140420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222419625120).

131524140420 is an abundant number, since it is smaller than the sum of its proper divisors (313315109820).

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

131524140420 is a wasteful number, since it uses less digits than its factorization.

131524140420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2437 (or 2383 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 131524140420 its reverse (24041425131), we get a palindrome (155565565551).

The spelling of 131524140420 in words is "one hundred thirty-one billion, five hundred twenty-four million, one hundred forty thousand, four hundred twenty".