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13341310224 = 2431137218457
BaseRepresentation
bin11000110110011010…
…00011110100010000
31021102210000210001220
430123031003310100
5204310333411344
610043502325040
7651416160114
oct143315036420
937383023056
1013341310224
115726904920
122703b89780
131348004808
14907c13744
155313c0c19
hex31b343d10

13341310224 has 120 divisors (see below), whose sum is σ = 38643964128. Its totient is φ = 3933342720.

The previous prime is 13341310219. The next prime is 13341310271. The reversal of 13341310224 is 42201314331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 13341310194 and 13341310203.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 713604 + ... + 732060.

Almost surely, 213341310224 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 13341310224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19321982064).

13341310224 is an abundant number, since it is smaller than the sum of its proper divisors (25302653904).

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

13341310224 is a wasteful number, since it uses less digits than its factorization.

13341310224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18553 (or 18510 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13341310224 its reverse (42201314331), we get a palindrome (55542624555).

The spelling of 13341310224 in words is "thirteen billion, three hundred forty-one million, three hundred ten thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 37 44 48 66 74 88 111 132 148 176 222 264 296 407 444 528 592 814 888 1221 1369 1628 1776 2442 2738 3256 4107 4884 5476 6512 8214 9768 10952 15059 16428 18457 19536 21904 30118 32856 36914 45177 55371 60236 65712 73828 90354 110742 120472 147656 180708 203027 221484 240944 295312 361416 406054 442968 609081 682909 722832 812108 885936 1218162 1365818 1624216 2048727 2436324 2731636 3248432 4097454 4872648 5463272 7511999 8194908 9745296 10926544 15023998 16389816 22535997 25267633 30047996 32779632 45071994 50535266 60095992 75802899 90143988 101070532 120191984 151605798 180287976 202141064 277943963 303211596 360575952 404282128 555887926 606423192 833831889 1111775852 1212846384 1667663778 2223551704 3335327556 4447103408 6670655112 13341310224