Search a number
-
+
10324021200 = 2435237232523
BaseRepresentation
bin10011001110101110…
…00000111111010000
3222122111110121122120
421213113000333100
5132120422134300
64424235334240
7513560506113
oct114727007720
928574417576
1010324021200
114418705a29
1220015b1380
13c86b78aac
146dd1ca57a
154065643a0
hex2675c0fd0

10324021200 has 120 divisors (see below), whose sum is σ = 33965245728. Its totient is φ = 2678653440.

The previous prime is 10324021181. The next prime is 10324021259. The reversal of 10324021200 is 212042301.

10324021200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10324021200.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 71862 + ... + 160661.

Almost surely, 210324021200 is an apocalyptic number.

10324021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10324021200 is an abundant number, since it is smaller than the sum of its proper divisors (23641224528).

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

10324021200 is a wasteful number, since it uses less digits than its factorization.

10324021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232581 (or 232570 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 10324021200 its reverse (212042301), we get a palindrome (10536063501).

The spelling of 10324021200 in words is "ten billion, three hundred twenty-four million, twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 37 40 48 50 60 74 75 80 100 111 120 148 150 185 200 222 240 296 300 370 400 444 555 592 600 740 888 925 1110 1200 1480 1776 1850 2220 2775 2960 3700 4440 5550 7400 8880 11100 14800 22200 44400 232523 465046 697569 930092 1162615 1395138 1860184 2325230 2790276 3487845 3720368 4650460 5580552 5813075 6975690 8603351 9300920 11161104 11626150 13951380 17206702 17439225 18601840 23252300 25810053 27902760 34413404 34878450 43016755 46504600 51620106 55805520 68826808 69756900 86033510 93009200 103240212 129050265 137653616 139513800 172067020 206480424 215083775 258100530 279027600 344134040 412960848 430167550 516201060 645251325 688268080 860335100 1032402120 1290502650 1720670200 2064804240 2581005300 3441340400 5162010600 10324021200