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13200022242 = 2321141239659
BaseRepresentation
bin11000100101100100…
…00101101011100010
31021001221011121101200
430102302011223202
5204013201202432
610021454142030
7645052223601
oct142262055342
937057147350
1013200022242
1156640830a0
1226847b1916
131324966164
148d3155a38
15523cb2a7c
hex312c85ae2

13200022242 has 72 divisors (see below), whose sum is σ = 31980396240. Its totient is φ = 3902347200.

The previous prime is 13200022229. The next prime is 13200022289. The reversal of 13200022242 is 24222000231.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 313009 + ... + 352667.

It is an arithmetic number, because the mean of its divisors is an integer number (444172170).

Almost surely, 213200022242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13200022242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15990198120).

13200022242 is an abundant number, since it is smaller than the sum of its proper divisors (18780373998).

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

13200022242 is a wasteful number, since it uses less digits than its factorization.

13200022242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39760 (or 39716 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 13200022242 its reverse (24222000231), we get a palindrome (37422022473).

The spelling of 13200022242 in words is "thirteen billion, two hundred million, twenty-two thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 41 66 82 99 123 198 246 369 451 738 902 1353 1681 2706 3362 4059 5043 8118 10086 15129 18491 30258 36982 39659 55473 79318 110946 118977 166419 237954 332838 356931 436249 713862 872498 1308747 1626019 2617494 3252038 3926241 4878057 7852482 9756114 14634171 17886209 29268342 35772418 53658627 66666779 107317254 133333558 160975881 200000337 321951762 400000674 600001011 733334569 1200002022 1466669138 2200003707 4400007414 6600011121 13200022242