Search a number
-
+
104322134322 = 232716313193851
BaseRepresentation
bin110000100101000010…
…1010111000100110010
3100222021101111111220200
41201022011113010302
53202122431244242
6115531441220030
710352125340130
oct1411205270462
9328241444820
10104322134322
114027414163a
1218275331616
139ab70ab983
1450990aa750
152aa88e204c
hex184a157132

104322134322 has 96 divisors (see below), whose sum is σ = 260170859520. Its totient is φ = 29593317600.

The previous prime is 104322134299. The next prime is 104322134339. The reversal of 104322134322 is 223431223401.

104322134322 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 221 + 3 + 432 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27087697 + ... + 27091547.

It is an arithmetic number, because the mean of its divisors is an integer number (2710113120).

Almost surely, 2104322134322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104322134322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130085429760).

104322134322 is an abundant number, since it is smaller than the sum of its proper divisors (155848725198).

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

104322134322 is a wasteful number, since it uses less digits than its factorization.

104322134322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5348 (or 5345 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 104322134322 its reverse (223431223401), we get a palindrome (327753357723).

The spelling of 104322134322 in words is "one hundred four billion, three hundred twenty-two million, one hundred thirty-four thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 163 326 489 978 1141 1319 1467 2282 2638 2934 3423 3851 3957 6846 7702 7914 9233 10269 11553 11871 18466 20538 23106 23742 26957 27699 34659 53914 55398 69318 80871 83097 161742 166194 214997 242613 429994 485226 627713 644991 1255426 1289982 1504979 1883139 1934973 3009958 3766278 3869946 4393991 4514937 5079469 5649417 8787982 9029874 10158938 11298834 13181973 13544811 15238407 26363946 27089622 30476814 35556283 39545919 45715221 71112566 79091838 91430442 106668849 213337698 320006547 640013094 827953447 1655906894 2483860341 4967720682 5795674129 7451581023 11591348258 14903162046 17387022387 34774044774 52161067161 104322134322