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13333134012 = 22311438572741
BaseRepresentation
bin11000110101011011…
…10111101010111100
31021102012122101102020
430122231313222330
5204301240242022
610043011200140
7651256524552
oct143255675274
937365571366
1013333134012
11572222aa20
1227012a6050
131346401113
14906ac5bd2
1553080835c
hex31ab77abc

13333134012 has 96 divisors (see below), whose sum is σ = 34781370624. Its totient is φ = 3940339200.

The previous prime is 13333133993. The next prime is 13333134013. The reversal of 13333134012 is 21043133331.

It is a happy number.

It is a super-2 number, since 2×133331340122 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13333134013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4862962 + ... + 4865702.

It is an arithmetic number, because the mean of its divisors is an integer number (362305944).

Almost surely, 213333134012 is an apocalyptic number.

13333134012 is a gapful number since it is divisible by the number (12) 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 13333134012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17390685312).

13333134012 is an abundant number, since it is smaller than the sum of its proper divisors (21448236612).

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

13333134012 is a wasteful number, since it uses less digits than its factorization.

13333134012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3659 (or 3657 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 13333134012 its reverse (21043133331), we get a palindrome (34376267343).

The spelling of 13333134012 in words is "thirteen billion, three hundred thirty-three million, one hundred thirty-four thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 43 44 66 86 129 132 172 258 473 516 857 946 1419 1714 1892 2571 2741 2838 3428 5142 5482 5676 8223 9427 10284 10964 16446 18854 28281 30151 32892 36851 37708 56562 60302 73702 90453 110553 113124 117863 120604 147404 180906 221106 235726 353589 361812 405361 442212 471452 707178 810722 1216083 1296493 1414356 1621444 2349037 2432166 2592986 3889479 4698074 4864332 5185972 7047111 7778958 9396148 14094222 15557916 25839407 28188444 51678814 77518221 101008591 103357628 155036442 202017182 303025773 310072884 404034364 606051546 1111094501 1212103092 2222189002 3333283503 4444378004 6666567006 13333134012