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130501290240 = 2834519312137
BaseRepresentation
bin111100110001001111…
…0111010100100000000
3110110211212012102120000
41321202132322210000
54114231312241430
6135541303320000
712266641443636
oct1714236724400
9413755172500
10130501290240
1150388637992
1221360750000
13c3c99bbc89
14645dcb9356
1535dbd83e60
hex1e627ba900

130501290240 has 720 divisors, whose sum is σ = 507627563520. Its totient is φ = 31890309120.

The previous prime is 130501290233. The next prime is 130501290247. The reversal of 130501290240 is 42092105031.

130501290240 is a `hidden beast` number, since 1 + 30 + 501 + 2 + 90 + 2 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (130501290233) and next prime (130501290247).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (130501290247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 61066452 + ... + 61068588.

Almost surely, 2130501290240 is an apocalyptic number.

130501290240 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 130501290240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253813781760).

130501290240 is an abundant number, since it is smaller than the sum of its proper divisors (377126273280).

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

130501290240 is a wasteful number, since it uses less digits than its factorization.

130501290240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2220 (or 2197 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 130501290240 its reverse (42092105031), we get a palindrome (172593395271).

The spelling of 130501290240 in words is "one hundred thirty billion, five hundred one million, two hundred ninety thousand, two hundred forty".