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11921885137 = 1753109233521
BaseRepresentation
bin10110001101001100…
…11000011111010001
31010202212010111220101
423012212120133101
5143404000311022
65250555212401
7601302231421
oct130646303721
933685114811
1011921885137
115068658838
122388747101
13117cc14506
148114c6481
1549b990627
hex2c69987d1

11921885137 has 32 divisors (see below), whose sum is σ = 13060064160. Its totient is φ = 10840227840.

The previous prime is 11921885119. The next prime is 11921885147. The reversal of 11921885137 is 73158812911.

11921885137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 1030666816 + 10891218321 = 32104^2 + 104361^2 .

It is a cyclic number.

It is not a de Polignac number, because 11921885137 - 27 = 11921885009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11921885117) 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, 22882437 + ... + 22882957.

It is an arithmetic number, because the mean of its divisors is an integer number (408127005).

Almost surely, 211921885137 is an apocalyptic number.

11921885137 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

11921885137 is a deficient number, since it is larger than the sum of its proper divisors (1138179023).

11921885137 is a wasteful number, since it uses less digits than its factorization.

11921885137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933.

The product of its digits is 120960, while the sum is 46.

The spelling of 11921885137 in words is "eleven billion, nine hundred twenty-one million, eight hundred eighty-five thousand, one hundred thirty-seven".

Divisors: 1 17 53 109 233 521 901 1853 3961 5777 8857 12349 25397 27613 56789 98209 121393 209933 431749 469421 965413 1346041 2063681 3009817 6433829 13231837 22882697 51166889 109375093 224941229 701287361 11921885137