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11221000104 = 2337913014549
BaseRepresentation
bin10100111001101001…
…01101111110101000
31001222000021212101110
422130310231332220
5140440034000404
65053240550320
7545031633006
oct123464557650
931860255343
1011221000104
114838a64506
122211a823a0
13109a955342
1478639ba76
1545a195b89
hex29cd2dfa8

11221000104 has 64 divisors (see below), whose sum is σ = 28435680000. Its totient is φ = 3689337600.

The previous prime is 11221000079. The next prime is 11221000139. The reversal of 11221000104 is 40100012211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 11221000104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2464422 + ... + 2468970.

It is an arithmetic number, because the mean of its divisors is an integer number (444307500).

Almost surely, 211221000104 is an apocalyptic number.

It is an amenable number.

11221000104 is an abundant number, since it is smaller than the sum of its proper divisors (17214679896).

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

11221000104 is a wasteful number, since it uses less digits than its factorization.

11221000104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5938 (or 5934 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11221000104 its reverse (40100012211), we get a palindrome (51321012315).

The spelling of 11221000104 in words is "eleven billion, two hundred twenty-one million, one hundred four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 24 79 158 237 316 474 632 948 1301 1896 2602 3903 4549 5204 7806 9098 10408 13647 15612 18196 27294 31224 36392 54588 102779 109176 205558 308337 359371 411116 616674 718742 822232 1078113 1233348 1437484 2156226 2466696 2874968 4312452 5918249 8624904 11836498 17754747 23672996 35509494 47345992 71018988 142037976 467541671 935083342 1402625013 1870166684 2805250026 3740333368 5610500052 11221000104