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13211324343 = 3373141431279
BaseRepresentation
bin11000100110111010…
…01100111110110111
31021002201102210222000
430103131030332313
5204024044334333
610022540310343
7645250255410
oct142335147667
937081383860
1013211324343
11566a4a2578
1226885423b3
1313270c25a9
148d4858807
15524c96713
hex31374cfb7

13211324343 has 128 divisors (see below), whose sum is σ = 24222105600. Its totient is φ = 6956409600.

The previous prime is 13211324327. The next prime is 13211324369. The reversal of 13211324343 is 34342311231.

It is a happy number.

13211324343 is a `hidden beast` number, since 13 + 211 + 3 + 2 + 434 + 3 = 666.

It is not a de Polignac number, because 13211324343 - 24 = 13211324327 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13211324143) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10328778 + ... + 10330056.

It is an arithmetic number, because the mean of its divisors is an integer number (189235200).

Almost surely, 213211324343 is an apocalyptic number.

13211324343 is a deficient number, since it is larger than the sum of its proper divisors (11010781257).

13211324343 is a wasteful number, since it uses less digits than its factorization.

13211324343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1410 (or 1404 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 13211324343 its reverse (34342311231), we get a palindrome (47553635574).

The spelling of 13211324343 in words is "thirteen billion, two hundred eleven million, three hundred twenty-four thousand, three hundred forty-three".

Divisors: 1 3 7 9 21 27 31 41 43 63 93 123 129 189 217 279 287 301 369 387 651 837 861 903 1107 1161 1271 1279 1333 1763 1953 2583 2709 3813 3837 3999 5289 5859 7749 8127 8897 8953 9331 11439 11511 11997 12341 15867 26691 26859 27993 34317 34533 35991 37023 39649 47601 52439 54653 54997 80073 80577 83979 111069 118947 157317 163959 164991 240219 241731 251937 277543 333207 356841 367073 382571 384979 471951 491877 494973 832629 1070523 1101219 1147713 1154937 1415853 1475631 1484919 1625609 1704907 2254877 2497887 3303657 3443139 3464811 4876827 5114721 6764631 7493661 9910971 10329417 10394433 11379263 11934349 14630481 15344163 15784139 20293893 34137789 35803047 43891443 46032489 47352417 60881679 69901187 102413367 107409141 142057251 209703561 307240101 322227423 426171753 489308309 629110683 1467924927 1887332049 4403774781 13211324343