Search a number
-
+
104223442302 = 232712725725343
BaseRepresentation
bin110000100010000110…
…0111000010101111110
3100222000111210102220200
41201010030320111332
53201422200123202
6115513554024330
710346516433240
oct1410414702576
9328014712820
10104223442302
1140223463891
12182482780a6
139a9c805625
145089d3a090
152a9ede9e1c
hex184433857e

104223442302 has 96 divisors (see below), whose sum is σ = 261131599872. Its totient is φ = 29427535872.

The previous prime is 104223442283. The next prime is 104223442313. The reversal of 104223442302 is 203244322401.

104223442302 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 234 + 423 + 0 + 2 = 666.

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 47 ways as a sum of consecutive naturals, for example, 4099843 + ... + 4125185.

It is an arithmetic number, because the mean of its divisors is an integer number (2720120832).

Almost surely, 2104223442302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104223442302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130565799936).

104223442302 is an abundant number, since it is smaller than the sum of its proper divisors (156908157570).

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

104223442302 is a wasteful number, since it uses less digits than its factorization.

104223442302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25742 (or 25739 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 104223442302 its reverse (203244322401), we get a palindrome (307467764703).

The spelling of 104223442302 in words is "one hundred four billion, two hundred twenty-three million, four hundred forty-two thousand, three hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 127 254 257 381 514 762 771 889 1143 1542 1778 1799 2286 2313 2667 3598 4626 5334 5397 8001 10794 16002 16191 25343 32382 32639 50686 65278 76029 97917 152058 177401 195834 228087 228473 293751 354802 456174 456946 532203 587502 685419 1064406 1370838 1596609 2056257 3193218 3218561 4112514 6437122 6513151 9655683 13026302 19311366 19539453 22529927 28967049 39078906 45059854 45592057 57934098 58618359 67589781 91184114 117236718 135179562 136776171 202769343 273552342 405538686 410328513 820657026 827170177 1654340354 2481510531 4963021062 5790191239 7444531593 11580382478 14889063186 17370573717 34741147434 52111721151 104223442302