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12334004010 = 2325317432317
BaseRepresentation
bin10110111110010100…
…11111011100101010
31011211120121022201100
423133022133130222
5200230001112020
65355520302230
7614435206236
oct133712373452
934746538640
1012334004010
11525a250849
122482771976
131217409c33
148501235c6
154c2c49a90
hex2df29f72a

12334004010 has 48 divisors (see below), whose sum is σ = 32169647016. Its totient is φ = 3278684544.

The previous prime is 12334004003. The next prime is 12334004017. The reversal of 12334004010 is 1040043321.

It is an interprime number because it is at equal distance from previous prime (12334004003) and next prime (12334004017).

It can be written as a sum of positive squares in 4 ways, for example, as 5213850849 + 7120153161 = 72207^2 + 84381^2 .

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12334004017) 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, 187629 + ... + 244688.

Almost surely, 212334004010 is an apocalyptic number.

12334004010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12334004010 is an abundant number, since it is smaller than the sum of its proper divisors (19835643006).

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

12334004010 is a wasteful number, since it uses less digits than its factorization.

12334004010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432647 (or 432644 counting only the distinct ones).

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

Adding to 12334004010 its reverse (1040043321), we get a palindrome (13374047331).

The spelling of 12334004010 in words is "twelve billion, three hundred thirty-four million, four thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 317 634 951 1585 1902 2853 3170 4755 5706 9510 14265 28530 432317 864634 1296951 2161585 2593902 3890853 4323170 6484755 7781706 12969510 19454265 38908530 137044489 274088978 411133467 685222445 822266934 1233400401 1370444890 2055667335 2466800802 4111334670 6167002005 12334004010