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10323323120 = 24511210110559
BaseRepresentation
bin10011001110101000…
…10110100011110000
3222122110011011001202
421213110112203300
5132120232314440
64424212350332
7513551540645
oct114724264360
928573134052
1010323323120
114418279500
1220013153a8
13c86993126
146dd087dcc
15406477615
hex2675168f0

10323323120 has 120 divisors (see below), whose sum is σ = 26645794560. Its totient is φ = 3716416000.

The previous prime is 10323323089. The next prime is 10323323123. The reversal of 10323323120 is 2132332301.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10323323092 and 10323323101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10323323123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 972401 + ... + 982959.

It is an arithmetic number, because the mean of its divisors is an integer number (222048288).

Almost surely, 210323323120 is an apocalyptic number.

10323323120 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 10323323120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13322897280).

10323323120 is an abundant number, since it is smaller than the sum of its proper divisors (16322471440).

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

10323323120 is a wasteful number, since it uses less digits than its factorization.

10323323120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10695 (or 10678 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 10323323120 its reverse (2132332301), we get a palindrome (12455655421).

The spelling of 10323323120 in words is "ten billion, three hundred twenty-three million, three hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 101 110 121 176 202 220 242 404 440 484 505 605 808 880 968 1010 1111 1210 1616 1936 2020 2222 2420 4040 4444 4840 5555 8080 8888 9680 10559 11110 12221 17776 21118 22220 24442 42236 44440 48884 52795 61105 84472 88880 97768 105590 116149 122210 168944 195536 211180 232298 244420 422360 464596 488840 580745 844720 929192 977680 1066459 1161490 1277639 1858384 2132918 2322980 2555278 4265836 4645960 5110556 5332295 6388195 8531672 9291920 10221112 10664590 11731049 12776390 17063344 20442224 21329180 23462098 25552780 42658360 46924196 51105560 58655245 85316720 93848392 102211120 117310490 129041539 187696784 234620980 258083078 469241960 516166156 645207695 938483920 1032332312 1290415390 2064664624 2580830780 5161661560 10323323120