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13222123104 = 253198387337
BaseRepresentation
bin11000101000001100…
…11001011001100000
31021010110202110002010
430110012121121200
5204034330414404
610024003552520
7645441122601
oct142406313140
937113673063
1013222123104
1156755a8873
12269008b740
1313294038a8
148d6069da8
15525bcb189
hex314199660

13222123104 has 96 divisors (see below), whose sum is σ = 36975415680. Its totient is φ = 4125053952.

The previous prime is 13222123093. The next prime is 13222123121. The reversal of 13222123104 is 40132122231.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107724 + ... + 195060.

It is an arithmetic number, because the mean of its divisors is an integer number (385160580).

Almost surely, 213222123104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13222123104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18487707840).

13222123104 is an abundant number, since it is smaller than the sum of its proper divisors (23753292576).

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

13222123104 is a wasteful number, since it uses less digits than its factorization.

13222123104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87452 (or 87444 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 13222123104 its reverse (40132122231), we get a palindrome (53354245335).

The spelling of 13222123104 in words is "thirteen billion, two hundred twenty-two million, one hundred twenty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 83 96 114 152 166 228 249 304 332 456 498 608 664 912 996 1328 1577 1824 1992 2656 3154 3984 4731 6308 7968 9462 12616 18924 25232 37848 50464 75696 87337 151392 174674 262011 349348 524022 698696 1048044 1397392 1659403 2096088 2794784 3318806 4192176 4978209 6637612 7248971 8384352 9956418 13275224 14497942 19912836 21746913 26550448 28995884 39825672 43493826 53100896 57991768 79651344 86987652 115983536 137730449 159302688 173975304 231967072 275460898 347950608 413191347 550921796 695901216 826382694 1101843592 1652765388 2203687184 3305530776 4407374368 6611061552 13222123104