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130400321025 = 35213237973607
BaseRepresentation
bin111100101110001110…
…1101111111000000001
3110110120211012122211110
41321130131233320001
54114024440233100
6135523255233533
712264304304022
oct1713435577001
9413524178743
10130400321025
1150336644257
12213329788a9
13c3b1ac9290
146450714c49
1535d308c250
hex1e5c76fe01

130400321025 has 96 divisors (see below), whose sum is σ = 245344296960. Its totient is φ = 60627790080.

The previous prime is 130400321021. The next prime is 130400321053. The reversal of 130400321025 is 520123004031.

It is not a de Polignac number, because 130400321025 - 22 = 130400321021 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 130400320992 and 130400321010.

It is not an unprimeable number, because it can be changed into a prime (130400321021) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1734772 + ... + 1808378.

It is an arithmetic number, because the mean of its divisors is an integer number (2555669760).

Almost surely, 2130400321025 is an apocalyptic number.

130400321025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

130400321025 is a deficient number, since it is larger than the sum of its proper divisors (114943975935).

130400321025 is a wasteful number, since it uses less digits than its factorization.

130400321025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73735 (or 73730 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 130400321025 its reverse (520123004031), we get a palindrome (650523325056).

The spelling of 130400321025 in words is "one hundred thirty billion, four hundred million, three hundred twenty-one thousand, twenty-five".

Divisors: 1 3 5 13 15 23 25 39 65 69 75 79 115 195 237 299 325 345 395 575 897 975 1027 1185 1495 1725 1817 1975 3081 4485 5135 5451 5925 7475 9085 15405 22425 23621 25675 27255 45425 70863 73607 77025 118105 136275 220821 354315 368035 590525 956891 1104105 1692961 1771575 1840175 2870673 4784455 5078883 5520525 5814953 8464805 14353365 17444859 22008493 23922275 25394415 29074765 42324025 66025479 71766825 75594389 87224295 110042465 126972075 133743919 145373825 226783167 330127395 377971945 401231757 436121475 550212325 668719595 1133915835 1650636975 1738670947 1889859725 2006158785 3343597975 5216012841 5669579175 8693354735 10030793925 26080064205 43466773675 130400321025