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104317372324 = 221125322772
BaseRepresentation
bin110000100100111001…
…1001100011110100100
3100222021001112120200101
41201021303030132210
53202120221403244
6115531151153444
710352040014554
oct1411163143644
9328231476611
10104317372324
1140271489900
1218273815884
139ab6102319
1450985cb164
152aa82a10d4
hex1849ccc7a4

104317372324 has 81 divisors (see below), whose sum is σ = 205258539171. Its totient is φ = 46354376640.

The previous prime is 104317372303. The next prime is 104317372349. The reversal of 104317372324 is 423273713401.

It is a happy number.

The square root of 104317372324 is 322982.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1712469924 + 102604902400 = 41382^2 + 320320^2 .

It is a super-2 number, since 2×1043173723242 (a number of 23 digits) contains 22 as substring.

It is a Duffinian 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 26 ways as a sum of consecutive naturals, for example, 376596874 + ... + 376597150.

Almost surely, 2104317372324 is an apocalyptic number.

104317372324 is the 322982-nd square number.

It is an amenable number.

104317372324 is a deficient number, since it is larger than the sum of its proper divisors (100941166847).

104317372324 is an equidigital number, since it uses as much as digits as its factorization.

104317372324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 37.

The spelling of 104317372324 in words is "one hundred four billion, three hundred seventeen million, three hundred seventy-two thousand, three hundred twenty-four".

Divisors: 1 2 4 11 22 44 53 106 121 212 242 277 484 554 583 1108 1166 2332 2809 3047 5618 6094 6413 11236 12188 12826 14681 25652 29362 30899 33517 58724 61798 67034 76729 123596 134068 153458 161491 306916 322982 339889 645964 679778 778093 844019 1359556 1556186 1688038 1776401 3112372 3376076 3552802 4066637 7105604 8133274 8559023 9284209 16266548 17118046 18568418 34236092 37136836 44733007 89466014 94149253 178932028 188298506 215531761 376597012 431063522 492063077 862127044 984126154 1968252308 2370849371 4741698742 9483397484 26079343081 52158686162 104317372324