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12322322010 = 2325373700397
BaseRepresentation
bin10110111100111011…
…11011011001011010
31011210202121211000200
423132131323121122
5200214003301020
65354422043030
7614234003025
oct133635733132
934722554020
1012322322010
1152536a19a9
12247a879476
131214b798cb
1484c7621bc
154c1bdd590
hex2de77b65a

12322322010 has 48 divisors (see below), whose sum is σ = 32903939016. Its totient is φ = 3197142144.

The previous prime is 12322321993. The next prime is 12322322011. The reversal of 12322322010 is 1022322321.

12322322010 is a `hidden beast` number, since 1 + 232 + 232 + 201 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12120028281 + 202293729 = 110091^2 + 14223^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12322322011) 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, 1846869 + ... + 1853528.

Almost surely, 212322322010 is an apocalyptic number.

12322322010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12322322010 is an abundant number, since it is smaller than the sum of its proper divisors (20581617006).

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

12322322010 is a wasteful number, since it uses less digits than its factorization.

12322322010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3700447 (or 3700444 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12322322010 its reverse (1022322321), we get a palindrome (13344644331).

The spelling of 12322322010 in words is "twelve billion, three hundred twenty-two million, three hundred twenty-two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 3330 3700397 7400794 11101191 18501985 22202382 33303573 37003970 55505955 66607146 111011910 136914689 166517865 273829378 333035730 410744067 684573445 821488134 1232232201 1369146890 2053720335 2464464402 4107440670 6161161005 12322322010