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130130342430000 = 2435411478390093
BaseRepresentation
bin11101100101101001010100…
…110101011100010100110000
3122001202100011022021210001020
4131211221110311130110300
5114024023420130230000
61140433015400335440
736260415124114143
oct3545512465342460
9561670138253036
10130130342430000
1138510a718a1060
1212718170474580
13577c314392403
14241c4b0d2405a
151009ec74ecba0
hex765a54d5c530

130130342430000 has 400 divisors, whose sum is σ = 468017431681536. Its totient is φ = 30875538560000.

The previous prime is 130130342429993. The next prime is 130130342430001. The reversal of 130130342430000 is 34243031031.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (130130342430001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11314954 + ... + 19705046.

Almost surely, 2130130342430000 is an apocalyptic number.

130130342430000 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 130130342430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234008715840768).

130130342430000 is an abundant number, since it is smaller than the sum of its proper divisors (337887089251536).

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

130130342430000 is a wasteful number, since it uses less digits than its factorization.

130130342430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8390182 (or 8390161 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 130130342430000 its reverse (34243031031), we get a palindrome (130164585461031).

The spelling of 130130342430000 in words is "one hundred thirty trillion, one hundred thirty billion, three hundred forty-two million, four hundred thirty thousand".