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104311410324 = 2231131221311519
BaseRepresentation
bin110000100100101110…
…0011100111010010100
3100222020122022200100120
41201021130130322110
53202112210112244
6115530415311540
710351635233622
oct1411134347224
9328218280316
10104311410324
1140269087530
121827181b5b0
139ab4ac5704
1450978b8512
152aa79c4819
hex184971ce94

104311410324 has 96 divisors (see below), whose sum is σ = 274232770560. Its totient is φ = 30573379200.

The previous prime is 104311410319. The next prime is 104311410337. The reversal of 104311410324 is 423014113401.

It is a junction number, because it is equal to n+sod(n) for n = 104311410294 and 104311410303.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 9049837 + ... + 9061355.

It is an arithmetic number, because the mean of its divisors is an integer number (2856591360).

Almost surely, 2104311410324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104311410324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137116385280).

104311410324 is an abundant number, since it is smaller than the sum of its proper divisors (169921360236).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

104311410324 is a wasteful number, since it uses less digits than its factorization.

104311410324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13781 (or 13779 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 104311410324 its reverse (423014113401), we get a palindrome (527325523725).

The spelling of 104311410324 in words is "one hundred four billion, three hundred eleven million, four hundred ten thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 186 341 372 682 1023 1364 2046 2213 4092 4426 6639 8852 11519 13278 23038 24343 26556 34557 46076 48686 68603 69114 73029 97372 126709 137206 138228 146058 205809 253418 274412 292116 357089 380127 411618 506836 714178 754633 760254 823236 1071267 1428356 1509266 1520508 2142534 2263899 3018532 3927979 4285068 4527798 7855958 9055596 11783937 15711916 23567874 25491547 47135748 50983094 76474641 101966188 152949282 280407017 305898564 560814034 790237957 841221051 1121628068 1580475914 1682442102 2370713871 3160951828 3364884204 4741427742 8692617527 9482855484 17385235054 26077852581 34770470108 52155705162 104311410324