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10121223321 = 331134078193
BaseRepresentation
bin10010110110100010…
…11001110010011001
3222010100212102021000
421123101121302121
5131212013121241
64352152535213
7505545656466
oct113321316231
928110772230
1010121223321
114324191980
121b656b1509
13c53b52151
146c02ba66d
153e3855eb6
hex25b459c99

10121223321 has 16 divisors (see below), whose sum is σ = 16357533120. Its totient is φ = 6134074560.

The previous prime is 10121223293. The next prime is 10121223323. The reversal of 10121223321 is 12332212101.

10121223321 is a `hidden beast` number, since 1 + 0 + 121 + 223 + 321 = 666.

10121223321 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 10121223321 - 223 = 10112834713 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10121223294 and 10121223303.

It is not an unprimeable number, because it can be changed into a prime (10121223323) 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 15 ways as a sum of consecutive naturals, for example, 17038800 + ... + 17039393.

It is an arithmetic number, because the mean of its divisors is an integer number (1022345820).

Almost surely, 210121223321 is an apocalyptic number.

10121223321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10121223321 is a deficient number, since it is larger than the sum of its proper divisors (6236309799).

10121223321 is a wasteful number, since it uses less digits than its factorization.

10121223321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34078213 (or 34078207 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10121223321 its reverse (12332212101), we get a palindrome (22453435422).

The spelling of 10121223321 in words is "ten billion, one hundred twenty-one million, two hundred twenty-three thousand, three hundred twenty-one".

Divisors: 1 3 9 11 27 33 99 297 34078193 102234579 306703737 374860123 920111211 1124580369 3373741107 10121223321