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10002323400 = 23352145111489
BaseRepresentation
bin10010101000010111…
…10101011111001000
3221211002010200020020
421110023311133020
5130441043322100
64332304300440
7502603226466
oct112413653710
927732120206
1010002323400
114273061683
121b31911720
13c35321b74
146ac5a9836
153d81bb5a0
hex2542f57c8

10002323400 has 96 divisors (see below), whose sum is σ = 31031272800. Its totient is φ = 2665216000.

The previous prime is 10002323369. The next prime is 10002323407. The reversal of 10002323400 is 432320001.

10002323400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 10002323400.

It is not an unprimeable number, because it can be changed into a prime (10002323407) by changing a digit.

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, 864856 + ... + 876344.

It is an arithmetic number, because the mean of its divisors is an integer number (323242425).

Almost surely, 210002323400 is an apocalyptic number.

10002323400 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 10002323400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15515636400).

10002323400 is an abundant number, since it is smaller than the sum of its proper divisors (21028949400).

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

10002323400 is a wasteful number, since it uses less digits than its factorization.

10002323400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12959 (or 12950 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 10002323400 its reverse (432320001), we get a palindrome (10434643401).

The spelling of 10002323400 in words is "ten billion, two million, three hundred twenty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 1451 2902 4353 5804 7255 8706 11489 11608 14510 17412 21765 22978 29020 34467 34824 36275 43530 45956 57445 58040 68934 72550 87060 91912 108825 114890 137868 145100 172335 174120 217650 229780 275736 287225 290200 344670 435300 459560 574450 689340 861675 870600 1148900 1378680 1723350 2297800 3446700 6893400 16670539 33341078 50011617 66682156 83352695 100023234 133364312 166705390 200046468 250058085 333410780 400092936 416763475 500116170 666821560 833526950 1000232340 1250290425 1667053900 2000464680 2500580850 3334107800 5001161700 10002323400