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34122411300231 = 324841378313243
BaseRepresentation
bin1111100001000101111100…
…01101000101010110000111
311110211001220111211210222200
413300202332031011112013
513433030144243101411
6200323341440125543
710121156106314502
oct760427615052607
9143731814753880
1034122411300231
11a966262678351
1239b119a6068b3
131606963b662c7
1485d767d94139
153e2907793e56
hex1f08be345587

34122411300231 has 12 divisors (see below), whose sum is σ = 49288946135208. Its totient is φ = 22747804030224.

The previous prime is 34122411300217. The next prime is 34122411300251. The reversal of 34122411300231 is 13200311422143.

34122411300231 is a `hidden beast` number, since 3 + 4 + 12 + 2 + 411 + 3 + 0 + 0 + 231 = 666.

It is not a de Polignac number, because 34122411300231 - 218 = 34122411038087 is a prime.

It is a super-2 number, since 2×341224113002312 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34122411300195 and 34122411300204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34122411300251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38720905 + ... + 39592338.

It is an arithmetic number, because the mean of its divisors is an integer number (4107412177934).

Almost surely, 234122411300231 is an apocalyptic number.

34122411300231 is a deficient number, since it is larger than the sum of its proper divisors (15166534834977).

34122411300231 is a wasteful number, since it uses less digits than its factorization.

34122411300231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78361662 (or 78361659 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 34122411300231 its reverse (13200311422143), we get a palindrome (47322722722374).

The spelling of 34122411300231 in words is "thirty-four trillion, one hundred twenty-two billion, four hundred eleven million, three hundred thousand, two hundred thirty-one".

Divisors: 1 3 9 48413 145239 435717 78313243 234939729 704819187 3791379033359 11374137100077 34122411300231