Search a number
-
+
102320000310 = 235111018873461
BaseRepresentation
bin101111101001010111…
…1110100110100110110
3100210002212010120101010
41133102233310310312
53134022410002220
6115001040413050
710251404436543
oct1372257646466
9323085116333
10102320000310
113a436a77730
12179b6917186
1398583681a8
144d49217bca
1529dcc5c1e0
hex17d2bf4d36

102320000310 has 128 divisors (see below), whose sum is σ = 270928032768. Its totient is φ = 24524480000.

The previous prime is 102320000297. The next prime is 102320000327. The reversal of 102320000310 is 13000023201.

It is a happy number.

It is a super-2 number, since 2×1023200003102 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29561980 + ... + 29565440.

It is an arithmetic number, because the mean of its divisors is an integer number (2116625256).

Almost surely, 2102320000310 is an apocalyptic number.

102320000310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102320000310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135464016384).

102320000310 is an abundant number, since it is smaller than the sum of its proper divisors (168608032458).

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

102320000310 is a wasteful number, since it uses less digits than its factorization.

102320000310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4470.

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 102320000310 its reverse (13000023201), we get a palindrome (115320023511).

The spelling of 102320000310 in words is "one hundred two billion, three hundred twenty million, three hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 101 110 165 202 303 330 505 606 887 1010 1111 1515 1774 2222 2661 3030 3333 3461 4435 5322 5555 6666 6922 8870 9757 10383 11110 13305 16665 17305 19514 20766 26610 29271 33330 34610 38071 48785 51915 58542 76142 89587 97570 103830 114213 146355 179174 190355 228426 268761 292710 349561 380710 447935 537522 571065 699122 895870 985457 1048683 1142130 1343805 1747805 1970914 2097366 2687610 2956371 3069907 3495610 3845171 4927285 5243415 5912742 6139814 7690342 9209721 9854570 10486830 11535513 14781855 15349535 18419442 19225855 23071026 29563710 30699070 33768977 38451710 46048605 57677565 67537954 92097210 101306931 115355130 168844885 202613862 310060607 337689770 506534655 620121214 930181821 1013069310 1550303035 1860363642 3100606070 3410666677 4650909105 6821333354 9301818210 10232000031 17053333385 20464000062 34106666770 51160000155 102320000310