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13221001122 = 237412271691
BaseRepresentation
bin11000101000000100…
…00111011110100010
31021010101122110000020
430110002013132202
5204034034013442
610023523534310
7645425440530
oct142402073642
937111573006
1013221001122
115674a0190a
12268b82a396
1313290cccb4
148d5c57150
15525a589ec
hex3140877a2

13221001122 has 96 divisors (see below), whose sum is σ = 31133755392. Its totient is φ = 3666384000.

The previous prime is 13221001121. The next prime is 13221001141. The reversal of 13221001122 is 22110012231.

It is not an unprimeable number, because it can be changed into a prime (13221001121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19132797 + ... + 19133487.

It is an arithmetic number, because the mean of its divisors is an integer number (324309952).

Almost surely, 213221001122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13221001122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15566877696).

13221001122 is an abundant number, since it is smaller than the sum of its proper divisors (17912754270).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13221001122 is a wasteful number, since it uses less digits than its factorization.

13221001122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 13221001122 its reverse (22110012231), we get a palindrome (35331013353).

The spelling of 13221001122 in words is "thirteen billion, two hundred twenty-one million, one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 41 42 82 123 246 271 287 542 574 691 813 861 1382 1626 1681 1722 1897 2073 3362 3794 4146 4837 5043 5691 9674 10086 11111 11382 11767 14511 22222 23534 28331 29022 33333 35301 56662 66666 70602 77777 84993 155554 169986 187261 198317 233331 374522 396634 455551 466662 561783 594951 911102 1123566 1161571 1189902 1310827 1366653 2323142 2621654 2733306 3188857 3484713 3932481 6377714 6969426 7677701 7864962 8130997 9566571 15355402 16261994 19133142 23033103 24392991 46066206 48785982 53743907 107487814 161231721 314785741 322463442 629571482 944357223 1888714446 2203500187 4407000374 6610500561 13221001122