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102320423120 = 2457131756827
BaseRepresentation
bin101111101001011000…
…1011100000011010000
3100210002212221001100202
41133102301130003100
53134023012014440
6115001053434332
710251411150326
oct1372261340320
9323085831322
10102320423120
113a437236363
12179b6a9b9a8
139858485786
144d492c7d16
1529dcce2615
hex17d2c5c0d0

102320423120 has 80 divisors (see below), whose sum is σ = 242010903168. Its totient is φ = 40223715840.

The previous prime is 102320423087. The next prime is 102320423129. The reversal of 102320423120 is 21324023201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 102320423092 and 102320423101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102320423129) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1772147 + ... + 1828973.

Almost surely, 2102320423120 is an apocalyptic number.

102320423120 is a gapful number since it is divisible by the number (10) 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 102320423120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121005451584).

102320423120 is an abundant number, since it is smaller than the sum of its proper divisors (139690480048).

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

102320423120 is a wasteful number, since it uses less digits than its factorization.

102320423120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57228 (or 57222 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 102320423120 its reverse (21324023201), we get a palindrome (123644446321).

The spelling of 102320423120 in words is "one hundred two billion, three hundred twenty million, four hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 71 80 142 284 317 355 568 634 710 1136 1268 1420 1585 2536 2840 3170 5072 5680 6340 12680 22507 25360 45014 56827 90028 112535 113654 180056 225070 227308 284135 360112 450140 454616 568270 900280 909232 1136540 1800560 2273080 4034717 4546160 8069434 16138868 18014159 20173585 32277736 36028318 40347170 64555472 72056636 80694340 90070795 144113272 161388680 180141590 288226544 322777360 360283180 720566360 1279005289 1441132720 2558010578 5116021156 6395026445 10232042312 12790052890 20464084624 25580105780 51160211560 102320423120