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131430000 = 2435413337
BaseRepresentation
bin1111101010101…
…11011001110000
3100011022100001210
413311113121300
5232121230000
621013000120
73154064562
oct765273160
9304270053
10131430000
1168209339
1238023040
13212c9640
1413653332
15b812350
hex7d57670

131430000 has 200 divisors, whose sum is σ = 458265808. Its totient is φ = 32256000.

The previous prime is 131429959. The next prime is 131430007. The reversal of 131430000 is 34131.

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 (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131430007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 389832 + ... + 390168.

Almost surely, 2131430000 is an apocalyptic number.

131430000 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 131430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229132904).

131430000 is an abundant number, since it is smaller than the sum of its proper divisors (326835808).

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

131430000 is a wasteful number, since it uses less digits than its factorization.

131430000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 131430000 is about 11464.2923898512. The cubic root of 131430000 is about 508.4303914525.

Adding to 131430000 its reverse (34131), we get a palindrome (131464131).

The spelling of 131430000 in words is "one hundred thirty-one million, four hundred thirty thousand".