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104434024331 = 7213598333479
BaseRepresentation
bin110000101000011000…
…0001011111110001011
3100222120012001010011002
41201100300023332023
53202340102234311
6115550515325215
710354654363100
oct1412060137613
9328505033132
10104434024331
114032131421a
12182a68b080b
139b04326390
1450a9cb4aa7
152ab364493b
hex1850c0bf8b

104434024331 has 48 divisors (see below), whose sum is σ = 134653881600. Its totient is φ = 80247569472.

The previous prime is 104434024309. The next prime is 104434024339. The reversal of 104434024331 is 133420434401.

It is a happy number.

It is not a de Polignac number, because 104434024331 - 222 = 104429830027 is a prime.

It is a super-2 number, since 2×1044340243312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 104434024294 and 104434024303.

It is not an unprimeable number, because it can be changed into a prime (104434024339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3102650 + ... + 3136128.

It is an arithmetic number, because the mean of its divisors is an integer number (2805289200).

Almost surely, 2104434024331 is an apocalyptic number.

104434024331 is a deficient number, since it is larger than the sum of its proper divisors (30219857269).

104434024331 is a wasteful number, since it uses less digits than its factorization.

104434024331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33648 (or 33641 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 104434024331 its reverse (133420434401), we get a palindrome (237854458732).

The spelling of 104434024331 in words is "one hundred four billion, four hundred thirty-four million, twenty-four thousand, three hundred thirty-one".

Divisors: 1 7 13 49 59 83 91 413 581 637 767 1079 2891 4067 4897 5369 7553 33479 34279 37583 52871 63661 234353 239953 435227 445627 1640471 1975261 2778757 3046589 3119389 13826827 19451299 21326123 25678393 36123841 96787789 136159093 163946663 179748751 252866887 1147626641 1258241257 1770068209 2131306619 8033386487 14919146333 104434024331