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10324202900 = 22521119225999
BaseRepresentation
bin10011001110101111…
…01101010110010100
3222122111210211220012
421213113231112110
5132120443443100
64424243255352
7513562163624
oct114727552624
928574724805
1010324202900
11441881a4a0
12200167a558
13c86c106cb
146dd236884
1540659d135
hex2675ed594

10324202900 has 108 divisors (see below), whose sum is σ = 25795224000. Its totient is φ = 3556526400.

The previous prime is 10324202897. The next prime is 10324202923. The reversal of 10324202900 is 920242301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 384101 + ... + 410099.

Almost surely, 210324202900 is an apocalyptic number.

10324202900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10324202900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12897612000).

10324202900 is an abundant number, since it is smaller than the sum of its proper divisors (15471021100).

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

10324202900 is a wasteful number, since it uses less digits than its factorization.

10324202900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26062 (or 26036 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The spelling of 10324202900 in words is "ten billion, three hundred twenty-four million, two hundred two thousand, nine hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 38 44 50 55 76 95 100 110 190 209 220 275 361 380 418 475 550 722 836 950 1045 1100 1444 1805 1900 2090 3610 3971 4180 5225 7220 7942 9025 10450 15884 18050 19855 20900 25999 36100 39710 51998 79420 99275 103996 129995 198550 259990 285989 397100 493981 519980 571978 649975 987962 1143956 1299950 1429945 1975924 2469905 2599900 2859890 4939810 5433791 5719780 7149725 9385639 9879620 10867582 12349525 14299450 18771278 21735164 24699050 27168955 28598900 37542556 46928195 49398100 54337910 93856390 103242029 108675820 135844775 187712780 206484058 234640975 271689550 412968116 469281950 516210145 543379100 938563900 1032420290 2064840580 2581050725 5162101450 10324202900