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230514102104 = 231121376124071
BaseRepresentation
bin1101011010101110110…
…1100000111101011000
3211000222220221200101012
43112223231200331120
512234043102231404
6253521405113052
722440232352546
oct3265355407530
9730886850335
10230514102104
1189840223800
1238812858788
13189780660b0
14b22a912d96
155ee229ea6e
hex35abb60f58

230514102104 has 96 divisors (see below), whose sum is σ = 512316191520. Its totient is φ = 96588096000.

The previous prime is 230514102103. The next prime is 230514102107. The reversal of 230514102104 is 401201415032.

It is a self number, because there is not a number n which added to its sum of digits gives 230514102104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230514102103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9564389 + ... + 9588459.

It is an arithmetic number, because the mean of its divisors is an integer number (5336626995).

Almost surely, 2230514102104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230514102104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256158095760).

230514102104 is an abundant number, since it is smaller than the sum of its proper divisors (281802089416).

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

230514102104 is a wasteful number, since it uses less digits than its factorization.

230514102104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24873 (or 24858 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 230514102104 its reverse (401201415032), we get a palindrome (631715517136).

The spelling of 230514102104 in words is "two hundred thirty billion, five hundred fourteen million, one hundred two thousand, one hundred four".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 121 143 242 286 484 572 761 968 1144 1522 1573 3044 3146 6088 6292 8371 9893 12584 16742 19786 24071 33484 39572 48142 66968 79144 92081 96284 108823 184162 192568 217646 264781 312923 368324 435292 529562 625846 736648 870584 1059124 1197053 1251692 2118248 2394106 2503384 2912591 3442153 4788212 5825182 6884306 9576424 11650364 13768612 18318031 23300728 27537224 36636062 37863683 73272124 75727366 146544248 151454732 201498341 238134403 302909464 402996682 476268806 805993364 952537612 1611986728 1905075224 2216481751 2619478433 4432963502 5238956866 8865927004 10477913732 17731854008 20955827464 28814262763 57628525526 115257051052 230514102104