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10323021120 = 263511039749
BaseRepresentation
bin10011001110100110…
…01100110101000000
3222122102120210210120
421213103030311000
5132120143133440
64424202100240
7513546142326
oct114723146500
928572523716
1010323021120
114418092615
1220011aa680
13c868b8829
146dd009d16
15406417dd0
hex2674ccd40

10323021120 has 112 divisors (see below), whose sum is σ = 32808672000. Its totient is φ = 2750027776.

The previous prime is 10323021101. The next prime is 10323021143. The reversal of 10323021120 is 2112032301.

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 10323021120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1054006 + ... + 1063754.

Almost surely, 210323021120 is an apocalyptic number.

10323021120 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 10323021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16404336000).

10323021120 is an abundant number, since it is smaller than the sum of its proper divisors (22485650880).

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

10323021120 is a wasteful number, since it uses less digits than its factorization.

10323021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10872 (or 10862 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10323021120 its reverse (2112032301), we get a palindrome (12435053421).

The spelling of 10323021120 in words is "ten billion, three hundred twenty-three million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 1103 2206 3309 4412 5515 6618 8824 9749 11030 13236 16545 17648 19498 22060 26472 29247 33090 35296 38996 44120 48745 52944 58494 66180 70592 77992 88240 97490 105888 116988 132360 146235 155984 176480 194980 211776 233976 264720 292470 311968 352960 389960 467952 529440 584940 623936 779920 935904 1058880 1169880 1559840 1871808 2339760 3119680 4679520 9359040 10753147 21506294 32259441 43012588 53765735 64518882 86025176 107531470 129037764 161297205 172050352 215062940 258075528 322594410 344100704 430125880 516151056 645188820 688201408 860251760 1032302112 1290377640 1720503520 2064604224 2580755280 3441007040 5161510560 10323021120