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131424251503220 = 225137168320815009
BaseRepresentation
bin11101111000011110010111…
…110100110110001001110100
3122020100000222001111002111122
4131320132113310312021310
5114211223331341100340
61143303245002323112
736453042316554524
oct3570362764661164
9566300861432448
10131424251503220
113896a791828865
12128a6a97ab9498
13584433b606060
142464d79591684
15102d9a6828db5
hex778797d36274

131424251503220 has 192 divisors, whose sum is σ = 302053849735680. Its totient is φ = 47739877785600.

The previous prime is 131424251503133. The next prime is 131424251503241. The reversal of 131424251503220 is 22305152424131.

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, 26237620076 + ... + 26237625084.

It is an arithmetic number, because the mean of its divisors is an integer number (1573197134040).

Almost surely, 2131424251503220 is an apocalyptic number.

131424251503220 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 131424251503220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151026924867840).

131424251503220 is an abundant number, since it is smaller than the sum of its proper divisors (170629598232460).

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

131424251503220 is a wasteful number, since it uses less digits than its factorization.

131424251503220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7866 (or 7864 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The spelling of 131424251503220 in words is "one hundred thirty-one trillion, four hundred twenty-four billion, two hundred fifty-one million, five hundred three thousand, two hundred twenty".