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13333333312 = 2613236411087
BaseRepresentation
bin11000110101011101…
…01000010101000000
31021102020000111210201
430122232220111000
5204301313131222
610043015334544
7651261314605
oct143256502500
937366014721
1013333333312
115722356732
122701381454
131346470a50
14906b386ac
15530847427
hex31aba8540

13333333312 has 112 divisors (see below), whose sum is σ = 29806221312. Its totient is φ = 5871697920.

The previous prime is 13333333303. The next prime is 13333333319. The reversal of 13333333312 is 21333333331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13333333319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12265633 + ... + 12266719.

It is an arithmetic number, because the mean of its divisors is an integer number (266126976).

Almost surely, 213333333312 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 13333333312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14903110656).

13333333312 is an abundant number, since it is smaller than the sum of its proper divisors (16472888000).

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

13333333312 is a wasteful number, since it uses less digits than its factorization.

13333333312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1776 (or 1766 counting only the distinct ones).

The product of its digits is 13122, while the sum is 28.

Adding to 13333333312 its reverse (21333333331), we get a palindrome (34666666643).

It can be divided in two parts, 1333333331 and 2, that multiplied together give a palindrome (2666666662).

The spelling of 13333333312 in words is "thirteen billion, three hundred thirty-three million, three hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 184 208 299 368 416 598 641 736 832 1087 1196 1282 1472 2174 2392 2564 4348 4784 5128 8333 8696 9568 10256 14131 14743 16666 17392 19136 20512 25001 28262 29486 33332 34784 41024 50002 56524 58972 66664 69568 100004 113048 117944 133328 191659 200008 226096 235888 266656 325013 383318 400016 452192 471776 533312 650026 696767 766636 800032 904384 943552 1300052 1393534 1533272 1600064 2600104 2787068 3066544 5200208 5574136 6133088 9057971 10400416 11148272 12266176 16025641 18115942 20800832 22296544 32051282 36231884 44593088 64102564 72463768 128205128 144927536 208333333 256410256 289855072 416666666 512820512 579710144 833333332 1025641024 1666666664 3333333328 6666666656 13333333312