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12011336010 = 2325652920441
BaseRepresentation
bin10110010111110111…
…00111000101001010
31011000002110002102200
423023323213011022
5144044400223020
65303512341030
7603436446222
oct131373470512
934002402380
1012011336010
1151040a4583
1223b26a4776
13119560351b
1481d32d082
154a475e590
hex2cbee714a

12011336010 has 48 divisors (see below), whose sum is σ = 31235784840. Its totient is φ = 3202375680.

The previous prime is 12011336003. The next prime is 12011336033. The reversal of 12011336010 is 1063311021.

12011336010 is a `hidden beast` number, since 1 + 20 + 11 + 33 + 601 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9060564969 + 2950771041 = 95187^2 + 54321^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 577390 + ... + 597830.

Almost surely, 212011336010 is an apocalyptic number.

12011336010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12011336010 is an abundant number, since it is smaller than the sum of its proper divisors (19224448830).

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

12011336010 is a wasteful number, since it uses less digits than its factorization.

12011336010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26983 (or 26980 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 12011336010 its reverse (1063311021), we get a palindrome (13074647031).

The spelling of 12011336010 in words is "twelve billion, eleven million, three hundred thirty-six thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 6529 13058 19587 20441 32645 39174 40882 58761 61323 65290 97935 102205 117522 122646 183969 195870 204410 293805 306615 367938 587610 613230 919845 1839690 133459289 266918578 400377867 667296445 800755734 1201133601 1334592890 2001889335 2402267202 4003778670 6005668005 12011336010