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13222012245344 = 257296133367349
BaseRepresentation
bin1100000001100111110101…
…0101111101010101100000
31201211000022202201010200222
43000121331111331111200
53213112140113322334
644042035241302212
72533154534504660
oct300317525752540
951730282633628
1013222012245344
1142384732406a1
121596621194968
1374baa4526126
14339d3d7541a0
1517de05357d2e
hexc067d57d560

13222012245344 has 96 divisors (see below), whose sum is σ = 31279888584000. Its totient is φ = 5381485885440.

The previous prime is 13222012245301. The next prime is 13222012245473. The reversal of 13222012245344 is 44354221022231.

13222012245344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×132220122453443 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16287419 + ... + 17079930.

It is an arithmetic number, because the mean of its divisors is an integer number (325832172750).

Almost surely, 213222012245344 is an apocalyptic number.

13222012245344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13222012245344 is an abundant number, since it is smaller than the sum of its proper divisors (18057876338656).

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

13222012245344 is a wasteful number, since it uses less digits than its factorization.

13222012245344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33367456 (or 33367448 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 35.

Adding to 13222012245344 its reverse (44354221022231), we get a palindrome (57576233267575).

The spelling of 13222012245344 in words is "thirteen trillion, two hundred twenty-two billion, twelve million, two hundred forty-five thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 61 112 116 122 203 224 232 244 406 427 464 488 812 854 928 976 1624 1708 1769 1952 3248 3416 3538 6496 6832 7076 12383 13664 14152 24766 28304 49532 56608 99064 198128 396256 33367349 66734698 133469396 233571443 266938792 467142886 533877584 934285772 967653121 1067755168 1868571544 1935306242 2035408289 3737143088 3870612484 4070816578 6773571847 7474286176 7741224968 8141633156 13547143694 14247858023 15482449936 16283266312 27094287388 28495716046 30964899872 32566532624 54188574776 56991432092 59026840381 65133065248 108377149552 113982864184 118053680762 216754299104 227965728368 236107361524 413187882667 455931456736 472214723048 826375765334 944429446096 1652751530668 1888858892192 3305503061336 6611006122672 13222012245344