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13300324224 = 273113148751
BaseRepresentation
bin11000110001100001…
…01101011110000000
31021022220220110211220
430120300231132000
5204214340333344
610035440035040
7650410614315
oct143060553600
937286813756
1013300324224
1157057604a0
1226b2302a80
13133c684245
149025c4d0c
1552c9c6c19
hex318c2d780

13300324224 has 64 divisors (see below), whose sum is σ = 38540724480. Its totient is φ = 4030400000.

The previous prime is 13300324211. The next prime is 13300324249. The reversal of 13300324224 is 42242300331.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×133003242243 (a number of 31 digits) contains 333 as substring.

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 = 13300324194 and 13300324203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1570152 + ... + 1578599.

It is an arithmetic number, because the mean of its divisors is an integer number (602198820).

Almost surely, 213300324224 is an apocalyptic number.

It is an amenable number.

13300324224 is an abundant number, since it is smaller than the sum of its proper divisors (25240400256).

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

13300324224 is a wasteful number, since it uses less digits than its factorization.

13300324224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3148779 (or 3148767 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 13300324224 its reverse (42242300331), we get a palindrome (55542624555).

The spelling of 13300324224 in words is "thirteen billion, three hundred million, three hundred twenty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 3148751 6297502 9446253 12595004 18892506 25190008 34636261 37785012 50380016 69272522 75570024 100760032 103908783 138545044 151140048 201520064 207817566 277090088 302280096 403040128 415635132 554180176 604560192 831270264 1108360352 1209120384 1662540528 2216720704 3325081056 4433441408 6650162112 13300324224