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22101203313 = 3271918463829
BaseRepresentation
bin10100100101010101…
…011001100101110001
32010001021022110022200
4110211111121211301
5330230402001223
614053025253413
71411455062040
oct244525314561
963037273280
1022101203313
11941160a192
124349794269
132112ac73c7
1410d93a6557
1589546ea43
hex525559971

22101203313 has 24 divisors (see below), whose sum is σ = 38404766400. Its totient is φ = 11964560544.

The previous prime is 22101203281. The next prime is 22101203323. The reversal of 22101203313 is 31330210122.

22101203313 is a `hidden beast` number, since 2 + 210 + 120 + 331 + 3 = 666.

It is not a de Polignac number, because 22101203313 - 25 = 22101203281 is a prime.

It is a super-4 number, since 4×221012033134 (a number of 42 digits) contains 4444 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (22101203323) 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 23 ways as a sum of consecutive naturals, for example, 9230718 + ... + 9233111.

It is an arithmetic number, because the mean of its divisors is an integer number (1600198600).

Almost surely, 222101203313 is an apocalyptic number.

It is an amenable number.

22101203313 is a deficient number, since it is larger than the sum of its proper divisors (16303563087).

22101203313 is a wasteful number, since it uses less digits than its factorization.

22101203313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18463861 (or 18463858 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 22101203313 its reverse (31330210122), we get a palindrome (53431413435).

The spelling of 22101203313 in words is "twenty-two billion, one hundred one million, two hundred three thousand, three hundred thirteen".

Divisors: 1 3 7 9 19 21 57 63 133 171 399 1197 18463829 55391487 129246803 166174461 350812751 387740409 1052438253 1163221227 2455689257 3157314759 7367067771 22101203313