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131415500000 = 2556433607
BaseRepresentation
bin111101001100011111…
…0010110010011100000
3110120012120110002120202
41322120332112103200
54123114332000000
6140212122124332
712331412214341
oct1723076262340
9416176402522
10131415500000
1150807695244
12215769506a8
13c51421c3b5
1465094940c8
15364226add5
hex1e98f964e0

131415500000 has 168 divisors, whose sum is σ = 324682094016. Its totient is φ = 52358400000.

The previous prime is 131415499967. The next prime is 131415500033. The reversal of 131415500000 is 5514131.

It is an interprime number because it is at equal distance from previous prime (131415499967) and next prime (131415500033).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 216499697 + ... + 216500303.

It is an arithmetic number, because the mean of its divisors is an integer number (1932631512).

Almost surely, 2131415500000 is an apocalyptic number.

131415500000 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 131415500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162341047008).

131415500000 is an abundant number, since it is smaller than the sum of its proper divisors (193266594016).

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

131415500000 is an frugal number, since it uses more digits than its factorization.

131415500000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The spelling of 131415500000 in words is "one hundred thirty-one billion, four hundred fifteen million, five hundred thousand".