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104042352510 = 232519137444113
BaseRepresentation
bin110000011100101101…
…0000100111101111110
3100221112220001010102100
41200321122010331332
53201034320240020
6115444004405530
710342160255535
oct1407132047576
9327486033370
10104042352510
11401402173a8
12181b76a68a6
139a7113c6c5
14506dc7b31c
152a8e078a90
hex1839684f7e

104042352510 has 96 divisors (see below), whose sum is σ = 286826585760. Its totient is φ = 26092468224.

The previous prime is 104042352509. The next prime is 104042352517. The reversal of 104042352510 is 15253240401.

104042352510 is a `hidden beast` number, since 1 + 0 + 404 + 2 + 3 + 5 + 251 + 0 = 666.

It is a super-2 number, since 2×1040423525102 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104042352517) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12214 + ... + 456326.

It is an arithmetic number, because the mean of its divisors is an integer number (2987776935).

Almost surely, 2104042352510 is an apocalyptic number.

104042352510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 104042352510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143413292880).

104042352510 is an abundant number, since it is smaller than the sum of its proper divisors (182784233250).

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

104042352510 is a wasteful number, since it uses less digits than its factorization.

104042352510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444282 (or 444279 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 104042352510 its reverse (15253240401), we get a palindrome (119295592911).

The spelling of 104042352510 in words is "one hundred four billion, forty-two million, three hundred fifty-two thousand, five hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 137 171 190 274 285 342 411 570 685 822 855 1233 1370 1710 2055 2466 2603 4110 5206 6165 7809 12330 13015 15618 23427 26030 39045 46854 78090 117135 234270 444113 888226 1332339 2220565 2664678 3997017 4441130 6661695 7994034 8438147 13323390 16876294 19985085 25314441 39970170 42190735 50628882 60843481 75943323 84381470 121686962 126572205 151886646 182530443 253144410 304217405 365060886 379716615 547591329 608434810 759433230 912652215 1095182658 1156026139 1825304430 2312052278 2737956645 3468078417 5475913290 5780130695 6936156834 10404235251 11560261390 17340392085 20808470502 34680784170 52021176255 104042352510