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10122333001 = 11173110716319
BaseRepresentation
bin10010110110101011…
…01000101101001001
3222010102221210110021
421123111220231021
5131212304124001
64352232420441
7505561260634
oct113325505511
928112853407
1010122333001
11432487a670
121b65b47721
13c54150271
146c04c8c1b
153e39c4ba1
hex25b568b49

10122333001 has 32 divisors (see below), whose sum is σ = 12182814720. Its totient is φ = 8302598400.

The previous prime is 10122332993. The next prime is 10122333017. The reversal of 10122333001 is 10033322101.

10122333001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10122333001 - 23 = 10122332993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10122333071) 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, 612120 + ... + 628438.

It is an arithmetic number, because the mean of its divisors is an integer number (380712960).

Almost surely, 210122333001 is an apocalyptic number.

10122333001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10122333001 is a deficient number, since it is larger than the sum of its proper divisors (2060481719).

10122333001 is a wasteful number, since it uses less digits than its factorization.

10122333001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16485.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 10122333001 its reverse (10033322101), we get a palindrome (20155655102).

The spelling of 10122333001 in words is "ten billion, one hundred twenty-two million, three hundred thirty-three thousand, one".

Divisors: 1 11 17 31 107 187 341 527 1177 1819 3317 5797 16319 20009 36487 56389 179509 277423 505889 620279 1746133 3051653 5564779 8600113 19207463 29684261 54130123 94601243 326526871 595431353 920212091 10122333001