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10323003000 = 233537347137
BaseRepresentation
bin10011001110100110…
…01000011001111000
3222122102112212221110
421213103020121320
5132120142044000
64424201440320
7513546035442
oct114723103170
928572485843
1010323003000
11441807aa42
1220011a00a0
13c868b04cb
146dd003492
15406412850
hex2674c8678

10323003000 has 128 divisors (see below), whose sum is σ = 32649664320. Its totient is φ = 2715033600.

The previous prime is 10323002999. The next prime is 10323003011. The reversal of 10323003000 is 30032301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 195432 + ... + 242568.

Almost surely, 210323003000 is an apocalyptic number.

10323003000 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 10323003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16324832160).

10323003000 is an abundant number, since it is smaller than the sum of its proper divisors (22326661320).

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

10323003000 is a wasteful number, since it uses less digits than its factorization.

10323003000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47234 (or 47220 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

Adding to 10323003000 its reverse (30032301), we get a palindrome (10353035301).

The spelling of 10323003000 in words is "ten billion, three hundred twenty-three million, three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 73 75 100 120 125 146 150 200 219 250 292 300 365 375 438 500 584 600 730 750 876 1000 1095 1460 1500 1752 1825 2190 2920 3000 3650 4380 5475 7300 8760 9125 10950 14600 18250 21900 27375 36500 43800 47137 54750 73000 94274 109500 141411 188548 219000 235685 282822 377096 471370 565644 707055 942740 1131288 1178425 1414110 1885480 2356850 2828220 3441001 3535275 4713700 5656440 5892125 6882002 7070550 9427400 10323003 11784250 13764004 14141100 17205005 17676375 20646006 23568500 27528008 28282200 34410010 35352750 41292012 47137000 51615015 68820020 70705500 82584024 86025025 103230030 137640040 141411000 172050050 206460060 258075075 344100100 412920120 430125125 516150150 688200200 860250250 1032300300 1290375375 1720500500 2064600600 2580750750 3441001000 5161501500 10323003000