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131453120000 = 29542771483
BaseRepresentation
bin111101001101100110…
…1110110111000000000
3110120022012020101112002
41322123031312320000
54123203444320000
6140215544323132
712332350040546
oct1723315667000
9416265211462
10131453120000
115082694a754
12215874734a8
13c51bc61857
146510487d96
1536456ec8d5
hex1e9b376e00

131453120000 has 200 divisors, whose sum is σ = 329613783576. Its totient is φ = 52356096000.

The previous prime is 131453119981. The next prime is 131453120033. The reversal of 131453120000 is 21354131.

It is a tau number, because it is divible by the number of its divisors (200).

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 19 ways as a sum of consecutive naturals, for example, 88639259 + ... + 88640741.

Almost surely, 2131453120000 is an apocalyptic number.

131453120000 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 131453120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164806891788).

131453120000 is an abundant number, since it is smaller than the sum of its proper divisors (198160663576).

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

131453120000 is an frugal number, since it uses more digits than its factorization.

131453120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1798 (or 1767 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 131453120000 its reverse (21354131), we get a palindrome (131474474131).

The spelling of 131453120000 in words is "one hundred thirty-one billion, four hundred fifty-three million, one hundred twenty thousand".