Search a number
-
+
130441001130320 = 2451630512514129
BaseRepresentation
bin11101101010001010101001…
…100010010101100101010000
3122002212001000122102212212212
4131222022221202111211100
5114044121132242132240
61141231434010411252
736322023415362536
oct3552125142254520
9562761018385785
10130441001130320
11386207996036a1
121276840b430b28
1357a26c24ba58a
14242d541892156
15101310a7d0165
hex76a2a9895950

130441001130320 has 20 divisors (see below), whose sum is σ = 303275327628180. Its totient is φ = 52176400452096.

The previous prime is 130441001130301. The next prime is 130441001130329. The reversal of 130441001130320 is 23031100144031.

It can be written as a sum of positive squares in 2 ways, for example, as 25030369217296 + 105410631913024 = 5003036^2 + 10266968^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130441001130329) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 815256256985 + ... + 815256257144.

It is an arithmetic number, because the mean of its divisors is an integer number (15163766381409).

Almost surely, 2130441001130320 is an apocalyptic number.

130441001130320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130441001130320 is an abundant number, since it is smaller than the sum of its proper divisors (172834326497860).

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

130441001130320 is a wasteful number, since it uses less digits than its factorization.

130441001130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630512514142 (or 1630512514136 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 130441001130320 its reverse (23031100144031), we get a palindrome (153472101274351).

The spelling of 130441001130320 in words is "one hundred thirty trillion, four hundred forty-one billion, one million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1630512514129 3261025028258 6522050056516 8152562570645 13044100113032 16305125141290 26088200226064 32610250282580 65220500565160 130441001130320