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34013320111433 = 13191194111532179
BaseRepresentation
bin1111011101111010101111…
…10111001110010101001001
311110102122022202112020012202
413232331113313032111021
513424233234422031213
6200201300433245545
710110244531441415
oct756752767162511
9143378282466182
1034013320111433
11a923a71528583
1239940141038b5
1315c9599a29510
14858379781d45
153deb70368b58
hex1eef57dce549

34013320111433 has 16 divisors (see below), whose sum is σ = 38560842196800. Its totient is φ = 29741948349120.

The previous prime is 34013320111429. The next prime is 34013320111489. The reversal of 34013320111433 is 33411102331043.

It is a cyclic number.

It is not a de Polignac number, because 34013320111433 - 22 = 34013320111429 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34013320111396 and 34013320111405.

It is not an unprimeable number, because it can be changed into a prime (34013320111423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2816663 + ... + 8715516.

It is an arithmetic number, because the mean of its divisors is an integer number (2410052637300).

Almost surely, 234013320111433 is an apocalyptic number.

It is an amenable number.

34013320111433 is a deficient number, since it is larger than the sum of its proper divisors (4547522085367).

34013320111433 is a wasteful number, since it uses less digits than its factorization.

34013320111433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11544152.

The product of its (nonzero) digits is 7776, while the sum is 29.

Adding to 34013320111433 its reverse (33411102331043), we get a palindrome (67424422442476).

The spelling of 34013320111433 in words is "thirty-four trillion, thirteen billion, three hundred twenty million, one hundred eleven thousand, four hundred thirty-three".

Divisors: 1 13 19 247 11941 155233 226879 2949427 11532179 149918327 219111401 2848448213 137705749439 1790174742707 2616409239341 34013320111433