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11001332121 = 3132414612539
BaseRepresentation
bin10100011111011101…
…10000000110011001
31001101200221120120020
422033232300012121
5140012320111441
65015352421053
7536423531403
oct121756600631
931350846506
1011001332121
114735a6871a
1221703a7789
1310642a2aa0
14765139b73
15445c53e66
hex28fbb0199

11001332121 has 32 divisors (see below), whose sum is σ = 15903000960. Its totient is φ = 6724684800.

The previous prime is 11001332117. The next prime is 11001332141. The reversal of 11001332121 is 12123310011.

It is a happy number.

11001332121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11001332121 - 22 = 11001332117 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11001332121.

It is not an unprimeable number, because it can be changed into a prime (11001332141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4331670 + ... + 4334208.

It is an arithmetic number, because the mean of its divisors is an integer number (496968780).

Almost surely, 211001332121 is an apocalyptic number.

It is an amenable number.

11001332121 is a deficient number, since it is larger than the sum of its proper divisors (4901668839).

11001332121 is a wasteful number, since it uses less digits than its factorization.

11001332121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3257.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 11001332121 its reverse (12123310011), we get a palindrome (23124642132).

The spelling of 11001332121 in words is "eleven billion, one million, three hundred thirty-two thousand, one hundred twenty-one".

Divisors: 1 3 13 39 241 461 723 1383 2539 3133 5993 7617 9399 17979 33007 99021 111101 333303 611899 1170479 1444313 1835697 3511437 4332939 7954687 15216227 23864061 45648681 282085439 846256317 3667110707 11001332121