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2320135125 = 353711194229
BaseRepresentation
bin1000101001001010…
…0111001111010101
312222200202002001120
42022102213033111
514222423311000
61022120314153
7111331552230
oct21222471725
95880662046
102320135125
11a90723950
12549012959
132ac8a4c29
141801d0417
15d8a4c6a0
hex8a4a73d5

2320135125 has 128 divisors (see below), whose sum is σ = 5067878400. Its totient is φ = 913248000.

The previous prime is 2320135109. The next prime is 2320135157. The reversal of 2320135125 is 5215310232.

It is a happy number.

2320135125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2320135125 - 24 = 2320135109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2320135095 and 2320135104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 546511 + ... + 550739.

It is an arithmetic number, because the mean of its divisors is an integer number (39592800).

Almost surely, 22320135125 is an apocalyptic number.

2320135125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2320135125 is an abundant number, since it is smaller than the sum of its proper divisors (2747743275).

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

2320135125 is a wasteful number, since it uses less digits than its factorization.

2320135125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4284 (or 4274 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 2320135125 is about 48167.7809848035. The cubic root of 2320135125 is about 1323.8468904480.

Adding to 2320135125 its reverse (5215310232), we get a palindrome (7535445357).

The spelling of 2320135125 in words is "two billion, three hundred twenty million, one hundred thirty-five thousand, one hundred twenty-five".

Divisors: 1 3 5 7 11 15 19 21 25 33 35 55 57 75 77 95 105 125 133 165 175 209 231 275 285 375 385 399 475 525 627 665 825 875 1045 1155 1375 1425 1463 1925 1995 2375 2625 3135 3325 4125 4229 4389 5225 5775 7125 7315 9625 9975 12687 15675 16625 21145 21945 26125 28875 29603 36575 46519 49875 63435 78375 80351 88809 105725 109725 139557 148015 182875 232595 241053 317175 325633 401755 444045 528625 548625 562457 697785 740075 883861 976899 1162975 1205265 1585875 1628165 1687371 2008775 2220225 2651583 2812285 3488925 3700375 4419305 4884495 5814875 6026325 6187027 8140825 8436855 10043875 11101125 13257915 14061425 17444625 18561081 22096525 24422475 30131625 30935135 40704125 42184275 66289575 70307125 92805405 110482625 122112375 154675675 210921375 331447875 464027025 773378375 2320135125