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130225100401 = 112341432811039
BaseRepresentation
bin111100101001000000…
…1010101011001110001
3110110010121111112022201
41321102001111121301
54113200111203101
6135454035503201
712260046042514
oct1712201253161
9413117445281
10130225100401
1150256746420
12212a4157b01
13c384709936
146435342d7b
1535c29c9e01
hex1e52055671

130225100401 has 64 divisors (see below), whose sum is σ = 156090654720. Its totient is φ = 107420544000.

The previous prime is 130225100393. The next prime is 130225100441. The reversal of 130225100401 is 104001522031.

It is not a de Polignac number, because 130225100401 - 23 = 130225100393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (130225100441) 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 63 ways as a sum of consecutive naturals, for example, 125336440 + ... + 125337478.

It is an arithmetic number, because the mean of its divisors is an integer number (2438916480).

Almost surely, 2130225100401 is an apocalyptic number.

130225100401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

130225100401 is a deficient number, since it is larger than the sum of its proper divisors (25865554319).

130225100401 is a wasteful number, since it uses less digits than its factorization.

130225100401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1438.

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 130225100401 its reverse (104001522031), we get a palindrome (234226622432).

The spelling of 130225100401 in words is "one hundred thirty billion, two hundred twenty-five million, one hundred thousand, four hundred one".

Divisors: 1 11 23 41 43 253 281 451 473 943 989 1039 1763 3091 6463 10373 10879 11429 11521 12083 19393 23897 40549 42599 44677 71093 126731 132913 262867 264983 277909 291959 446039 468589 491447 495403 979777 1027571 1831757 2914813 3056999 3211549 5449433 6715057 10777547 11303281 11394269 11970319 12554237 20149327 42130411 73865627 125336959 131673509 138096607 275317337 288747451 463434521 514723717 3028490707 3176221961 5661960887 11838645491 130225100401