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131200401420 = 22325111392931627
BaseRepresentation
bin111101000110000100…
…1110100000000001100
3110112122120200221210200
41322030021310000030
54122144300321140
6140134515533500
712323161003644
oct1721411640014
9415576627720
10131200401420
115070722a520
12215168ba290
13c4ab7a992a
1464c8aa1524
15362d42d030
hex1e8c27400c

131200401420 has 288 divisors, whose sum is σ = 439039560960. Its totient is φ = 31450222080.

The previous prime is 131200401419. The next prime is 131200401473. The reversal of 131200401420 is 24104002131.

131200401420 is a `hidden beast` number, since 1 + 3 + 1 + 200 + 40 + 1 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 131200401393 and 131200401402.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 80638647 + ... + 80640273.

It is an arithmetic number, because the mean of its divisors is an integer number (1524442920).

Almost surely, 2131200401420 is an apocalyptic number.

131200401420 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 131200401420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219519780480).

131200401420 is an abundant number, since it is smaller than the sum of its proper divisors (307839159540).

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

131200401420 is a wasteful number, since it uses less digits than its factorization.

131200401420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2085 (or 2080 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 131200401420 its reverse (24104002131), we get a palindrome (155304403551).

The spelling of 131200401420 in words is "one hundred thirty-one billion, two hundred million, four hundred one thousand, four hundred twenty".