Search a number
-
+
103204242312 = 2337365818951
BaseRepresentation
bin110000000011101110…
…0111100001110001000
3100212101110222201100220
41200013130330032020
53142330241223222
6115224505030040
710312332404553
oct1400734741610
9325343881326
10103204242312
113a850116846
1218002a85320
139969605202
144dd083169a
152a406c4b5c
hex180773c388

103204242312 has 64 divisors (see below), whose sum is σ = 261613964160. Its totient is φ = 33921216000.

The previous prime is 103204242293. The next prime is 103204242319. The reversal of 103204242312 is 213242402301.

It is a happy number.

103204242312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1032042423122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (103204242319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11525437 + ... + 11534387.

It is an arithmetic number, because the mean of its divisors is an integer number (4087718190).

Almost surely, 2103204242312 is an apocalyptic number.

103204242312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103204242312 is an abundant number, since it is smaller than the sum of its proper divisors (158409721848).

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

103204242312 is a wasteful number, since it uses less digits than its factorization.

103204242312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15614 (or 15610 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 103204242312 its reverse (213242402301), we get a palindrome (316446644613).

The spelling of 103204242312 in words is "one hundred three billion, two hundred four million, two hundred forty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 73 146 219 292 438 584 876 1752 6581 8951 13162 17902 19743 26324 26853 35804 39486 52648 53706 71608 78972 107412 157944 214824 480413 653423 960826 1306846 1441239 1921652 1960269 2613692 2882478 3843304 3920538 5227384 5764956 7841076 11529912 15682152 58906531 117813062 176719593 235626124 353439186 471252248 706878372 1413756744 4300176763 8600353526 12900530289 17200707052 25801060578 34401414104 51602121156 103204242312