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1211221331442 = 232193630155333
BaseRepresentation
bin10001101000000010011…
…010101100110111110010
311021210101002121210212200
4101220002122230313302
5124321040130101232
62324232152404030
7153336123306033
oct21500232546762
94253332553780
101211221331442
11427748957531
121768ab6a6616
138a2aa327ab5
14428a2970a8a
152178ede977c
hex11a026acdf2

1211221331442 has 48 divisors (see below), whose sum is σ = 2638376691288. Its totient is φ = 401577523200.

The previous prime is 1211221331417. The next prime is 1211221331449. The reversal of 1211221331442 is 2441331221121.

1211221331442 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 2 + 213 + 3 + 1 + 442 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 771465345561 + 439755985881 = 878331^2 + 663141^2 .

It is a super-2 number, since 2×12112213314422 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1211221331449) by changing a digit.

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, 21862008 + ... + 21917340.

Almost surely, 21211221331442 is an apocalyptic number.

1211221331442 is an abundant number, since it is smaller than the sum of its proper divisors (1427155359846).

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

1211221331442 is a wasteful number, since it uses less digits than its factorization.

1211221331442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61835 (or 61832 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

Adding to 1211221331442 its reverse (2441331221121), we get a palindrome (3652552552563).

The spelling of 1211221331442 in words is "one trillion, two hundred eleven billion, two hundred twenty-one million, three hundred thirty-one thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 193 386 579 1158 1737 3474 6301 12602 18903 37806 55333 56709 110666 113418 165999 331998 497997 995994 1216093 2432186 3648279 7296558 10679269 10944837 21358538 21889674 32037807 64075614 96113421 192226842 348653233 697306466 1045959699 2091919398 3137879097 6275758194 67290073969 134580147938 201870221907 403740443814 605610665721 1211221331442