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11132123212221 = 311838940211833
BaseRepresentation
bin1010000111111110011000…
…1111111110100110111101
31110102012221210210021112220
42201333212033332212331
52424342042020242341
635402005442315553
72226161251022634
oct241774617764675
943365853707486
1011132123212221
11360211a380890
1212b9591658bb9
136299a7152c7b
142a6b24a1051b
1514488ab1ca66
hexa1fe63fe9bd

11132123212221 has 16 divisors (see below), whose sum is σ = 16194109788480. Its totient is φ = 6745936936320.

The previous prime is 11132123212201. The next prime is 11132123212261. The reversal of 11132123212221 is 12221232123111.

It is not a de Polignac number, because 11132123212221 - 230 = 11131049470397 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11132123212191 and 11132123212200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11132123212201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19829080 + ... + 20382753.

It is an arithmetic number, because the mean of its divisors is an integer number (1012131861780).

Almost surely, 211132123212221 is an apocalyptic number.

11132123212221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11132123212221 is a deficient number, since it is larger than the sum of its proper divisors (5061986576259).

11132123212221 is a wasteful number, since it uses less digits than its factorization.

11132123212221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40220236.

The product of its digits is 576, while the sum is 24.

Adding to 11132123212221 its reverse (12221232123111), we get a palindrome (23353355335332).

The spelling of 11132123212221 in words is "eleven trillion, one hundred thirty-two billion, one hundred twenty-three million, two hundred twelve thousand, two hundred twenty-one".

Divisors: 1 3 11 33 8389 25167 92279 276837 40211833 120635499 442330163 1326990489 337337067037 1012011201111 3710707737407 11132123212221