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13223041104 = 2437139113323
BaseRepresentation
bin11000101000010011…
…11001100001010000
31021010112111002100010
430110021321201100
5204040044303404
610024035354520
7645451665150
oct142411714120
937115432303
1013223041104
115676075549
122690452a40
1313296656a0
148d6228760
15525d0d189
hex314279850

13223041104 has 160 divisors (see below), whose sum is σ = 42101305344. Its totient is φ = 3482519040.

The previous prime is 13223041079. The next prime is 13223041151. The reversal of 13223041104 is 40114032231.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 31 ways as a sum of consecutive naturals, for example, 3977587 + ... + 3980909.

Almost surely, 213223041104 is an apocalyptic number.

13223041104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13223041104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21050652672).

13223041104 is an abundant number, since it is smaller than the sum of its proper divisors (28878264240).

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

13223041104 is a wasteful number, since it uses less digits than its factorization.

13223041104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4265 (or 4259 counting only the distinct ones).

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

Adding to 13223041104 its reverse (40114032231), we get a palindrome (53337073335).

The spelling of 13223041104 in words is "thirteen billion, two hundred twenty-three million, forty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 624 728 911 1092 1456 1822 2184 2733 3323 3644 4368 5466 6377 6646 7288 9969 10932 11843 12754 13292 14576 19131 19938 21864 23261 23686 25508 26584 35529 38262 39876 43199 43728 46522 47372 51016 53168 69783 71058 76524 79752 82901 86398 93044 94744 102032 129597 139566 142116 153048 159504 165802 172796 186088 189488 248703 259194 279132 284232 302393 306096 331604 345592 372176 497406 518388 558264 568464 604786 663208 691184 907179 994812 1036776 1116528 1209572 1326416 1814358 1989624 2073552 2419144 3027253 3628716 3979248 4838288 6054506 7257432 9081759 12109012 14514864 18163518 21190771 24218024 36327036 39354289 42381542 48436048 63572313 72654072 78708578 84763084 118062867 127144626 145308144 157417156 169526168 236125734 254289252 275480023 314834312 339052336 472251468 508578504 550960046 629668624 826440069 944502936 1017157008 1101920092 1652880138 1889005872 2203840184 3305760276 4407680368 6611520552 13223041104