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12223242301 = 1741101401433
BaseRepresentation
bin10110110001000111…
…11110000000111101
31011112212012001012211
423120203332000331
5200013122223201
65340522300421
7611621562634
oct133043760075
934485161184
1012223242301
115202779946
122451657711
1311ca498c6a
1483d53051b
154b816b651
hex2d88fe03d

12223242301 has 32 divisors (see below), whose sum is σ = 13453576416. Its totient is φ = 11059200000.

The previous prime is 12223242299. The next prime is 12223242313. The reversal of 12223242301 is 10324232221.

It can be written as a sum of positive squares in 16 ways, for example, as 156000100 + 12067242201 = 12490^2 + 109851^2 .

It is a 9-Lehmer number, since φ(12223242301) divides (12223242301-1)9.

It is a cyclic number.

It is not a de Polignac number, because 12223242301 - 21 = 12223242299 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12223242331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28228981 + ... + 28229413.

It is an arithmetic number, because the mean of its divisors is an integer number (420424263).

Almost surely, 212223242301 is an apocalyptic number.

It is an amenable number.

12223242301 is a deficient number, since it is larger than the sum of its proper divisors (1230334115).

12223242301 is a wasteful number, since it uses less digits than its factorization.

12223242301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993.

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 12223242301 its reverse (10324232221), we get a palindrome (22547474522).

The spelling of 12223242301 in words is "twelve billion, two hundred twenty-three million, two hundred forty-two thousand, three hundred one".

Divisors: 1 17 41 101 401 433 697 1717 4141 6817 7361 16441 17753 40501 43733 70397 173633 279497 301801 688517 743461 1660541 1793053 2951761 7118953 17536933 28229197 30481901 121022201 298127861 719014253 12223242301