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13311200042433 = 343767363118257
BaseRepresentation
bin1100000110110100000101…
…0110011001110111000001
31202010112112102021122220000
43001231001112121313001
53221042314202324213
644151025245310213
72542462642332006
oct301550126316701
952115472248800
1013311200042433
114272280446707
1215ab971b65369
13757318cb2067
143403a082b8ad
151813c524bc73
hexc1b41599dc1

13311200042433 has 80 divisors (see below), whose sum is σ = 20733705341184. Its totient is φ = 8502613701120.

The previous prime is 13311200042401. The next prime is 13311200042443. The reversal of 13311200042433 is 33424000211331.

It is a happy number.

13311200042433 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 1 + 200 + 0 + 424 + 33 = 666.

It is not a de Polignac number, because 13311200042433 - 25 = 13311200042401 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 13311200042397 and 13311200042406.

It is not an unprimeable number, because it can be changed into a prime (13311200042443) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 729092041 + ... + 729110297.

Almost surely, 213311200042433 is an apocalyptic number.

It is an amenable number.

13311200042433 is a deficient number, since it is larger than the sum of its proper divisors (7422505298751).

13311200042433 is a wasteful number, since it uses less digits than its factorization.

13311200042433 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22004 (or 21995 counting only the distinct ones).

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

Adding to 13311200042433 its reverse (33424000211331), we get a palindrome (46735200253764).

The spelling of 13311200042433 in words is "thirteen trillion, three hundred eleven billion, two hundred million, forty-two thousand, four hundred thirty-three".

Divisors: 1 3 9 27 37 67 81 111 201 333 603 999 1809 2479 2997 3631 5427 7437 10893 18257 22311 32679 54771 66933 98037 134347 164313 200799 243277 294111 403041 492939 675509 729831 1209123 1223219 1478817 2026527 2189493 3627369 3669657 6079581 6568479 9001249 10882107 11008971 18238743 19705437 27003747 33026913 45259103 54716229 66291167 81011241 99080739 135777309 198873501 243033723 407331927 596620503 729101169 1221995781 1789861509 2452773179 3665987343 4441508189 5369584527 7358319537 13324524567 22074958611 39973573701 66224875833 119920721103 164335802993 198674627499 359762163309 493007408979 1479022226937 4437066680811 13311200042433