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10323123200 = 210521331019
BaseRepresentation
bin10011001110100111…
…00101110000000000
3222122102202222211022
421213103211300000
5132120204420300
64424204205012
7513550046045
oct114723456000
928572688738
1010323123200
114418152285
122001239768
13c86923130
146dd0351cc
15406438285
hex2674e5c00

10323123200 has 132 divisors (see below), whose sum is σ = 27558105960. Its totient is φ = 3811491840.

The previous prime is 10323123199. The next prime is 10323123211. The reversal of 10323123200 is 232132301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 317291 + ... + 348309.

It is an arithmetic number, because the mean of its divisors is an integer number (208773530).

Almost surely, 210323123200 is an apocalyptic number.

10323123200 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 10323123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13779052980).

10323123200 is an abundant number, since it is smaller than the sum of its proper divisors (17234982760).

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

10323123200 is a wasteful number, since it uses less digits than its factorization.

10323123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31062 (or 31039 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 10323123200 its reverse (232132301), we get a palindrome (10555255501).

The spelling of 10323123200 in words is "ten billion, three hundred twenty-three million, one hundred twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 128 130 160 200 208 256 260 320 325 400 416 512 520 640 650 800 832 1024 1040 1280 1300 1600 1664 2080 2560 2600 3200 3328 4160 5120 5200 6400 6656 8320 10400 12800 13312 16640 20800 25600 31019 33280 41600 62038 66560 83200 124076 155095 166400 248152 310190 332800 403247 496304 620380 775475 806494 992608 1240760 1550950 1612988 1985216 2016235 2481520 3101900 3225976 3970432 4032470 4963040 6203800 6451952 7940864 8064940 9926080 10081175 12407600 12903904 15881728 16129880 19852160 20162350 24815200 25807808 31763456 32259760 39704320 40324700 49630400 51615616 64519520 79408640 80649400 99260800 103231232 129039040 158817280 161298800 198521600 206462464 258078080 322597600 397043200 412924928 516156160 645195200 794086400 1032312320 1290390400 2064624640 2580780800 5161561600 10323123200