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10133221241 = 1113261193463
BaseRepresentation
bin10010110111111110…
…01010111101111001
3222011012102222022102
421123333022331321
5131223101034431
64353302033145
7506052650033
oct113377127571
928135388272
1010133221241
11432aa37110
121b697187b5
13c56493200
146c1b20c53
153e4925dcb
hex25bfcaf79

10133221241 has 48 divisors (see below), whose sum is σ = 12255858432. Its totient is φ = 8302694400.

The previous prime is 10133221211. The next prime is 10133221247. The reversal of 10133221241 is 14212233101.

It is not a de Polignac number, because 10133221241 - 210 = 10133220217 is a prime.

It is a super-3 number, since 3×101332212413 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10133221247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21885776 + ... + 21886238.

It is an arithmetic number, because the mean of its divisors is an integer number (255330384).

Almost surely, 210133221241 is an apocalyptic number.

10133221241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10133221241 is a deficient number, since it is larger than the sum of its proper divisors (2122637191).

10133221241 is a wasteful number, since it uses less digits than its factorization.

10133221241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 10133221241 its reverse (14212233101), we get a palindrome (24345454342).

The spelling of 10133221241 in words is "ten billion, one hundred thirty-three million, two hundred twenty-one thousand, two hundred forty-one".

Divisors: 1 11 13 61 143 169 193 463 671 793 1859 2123 2509 5093 6019 8723 10309 11773 27599 28243 32617 66209 78247 89359 113399 129503 153049 310673 358787 367159 860717 982949 1161667 1683539 1989637 4038749 4773067 5450899 12778337 15101671 21886007 52503737 59959889 70861687 166118381 779478557 921201931 10133221241