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13223433312 = 2532367712487
BaseRepresentation
bin11000101000010110…
…11001010001100000
31021010120020000100100
430110023121101200
5204040144331222
610024052022400
7645455220465
oct142413312140
937116200310
1013223433312
115676313191
122690601a00
13132977206b
148d62cb66c
15525d894ac
hex3142d9460

13223433312 has 72 divisors (see below), whose sum is σ = 37617377616. Its totient is φ = 4406259456.

The previous prime is 13223433299. The next prime is 13223433317. The reversal of 13223433312 is 21333432231.

13223433312 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 343 + 3 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×132234333122 (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13223433317) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1052733 + ... + 1065219.

It is an arithmetic number, because the mean of its divisors is an integer number (522463578).

Almost surely, 213223433312 is an apocalyptic number.

13223433312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13223433312 is an abundant number, since it is smaller than the sum of its proper divisors (24393944304).

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

13223433312 is a wasteful number, since it uses less digits than its factorization.

13223433312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16180 (or 16169 counting only the distinct ones).

The product of its digits is 7776, while the sum is 27.

Adding to 13223433312 its reverse (21333432231), we get a palindrome (34556865543).

The spelling of 13223433312 in words is "thirteen billion, two hundred twenty-three million, four hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 3677 7354 11031 12487 14708 22062 24974 29416 33093 37461 44124 49948 58832 66186 74922 88248 99896 112383 117664 132372 149844 176496 199792 224766 264744 299688 352992 399584 449532 529488 599376 899064 1058976 1198752 1798128 3596256 45914699 91829398 137744097 183658796 275488194 367317592 413232291 550976388 734635184 826464582 1101952776 1469270368 1652929164 2203905552 3305858328 4407811104 6611716656 13223433312