Search a number
-
+
102320012112 = 24331187336713
BaseRepresentation
bin101111101001010111…
…1110111101101010000
3100210002212011011120020
41133102233313231100
53134022410341422
6115001040543440
710251404516133
oct1372257675520
9323085134506
10102320012112
113a436a8558a
12179b6921b80
139858370686
144d4921c21a
1529dcc6095c
hex17d2bf7b50

102320012112 has 80 divisors (see below), whose sum is σ = 273006478848. Its totient is φ = 32987934720.

The previous prime is 102320012059. The next prime is 102320012167. The reversal of 102320012112 is 211210023201.

It is a junction number, because it is equal to n+sod(n) for n = 102320012091 and 102320012100.

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 15 ways as a sum of consecutive naturals, for example, 2768668 + ... + 2805380.

Almost surely, 2102320012112 is an apocalyptic number.

102320012112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102320012112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136503239424).

102320012112 is an abundant number, since it is smaller than the sum of its proper divisors (170686466736).

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

102320012112 is a wasteful number, since it uses less digits than its factorization.

102320012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38628 (or 38622 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 102320012112 its reverse (211210023201), we get a palindrome (313530035313).

The spelling of 102320012112 in words is "one hundred two billion, three hundred twenty million, twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 1488 1873 3746 5619 7492 11238 14984 22476 29968 36713 44952 58063 73426 89904 110139 116126 146852 174189 220278 232252 293704 348378 440556 464504 587408 696756 881112 929008 1138103 1393512 1762224 2276206 2787024 3414309 4552412 6828618 9104824 13657236 18209648 27314472 54628944 68763449 137526898 206290347 275053796 412580694 550107592 825161388 1100215184 1650322776 2131666919 3300645552 4263333838 6395000757 8526667676 12790001514 17053335352 25580003028 34106670704 51160006056 102320012112