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102323320 = 235112310111
BaseRepresentation
bin1100001100101…
…01010001111000
321010112120012121
412012111101320
5202143321240
614053051024
72351506501
oct606252170
9233476177
10102323320
1152839030
122a326a74
1318278158
14d837ba8
158eb304a
hex6195478

102323320 has 64 divisors (see below), whose sum is σ = 262103040. Its totient is φ = 35587200.

The previous prime is 102323293. The next prime is 102323329. The reversal of 102323320 is 23323201.

It is a junction number, because it is equal to n+sod(n) for n = 102323294 and 102323303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102323329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5065 + ... + 15175.

It is an arithmetic number, because the mean of its divisors is an integer number (4095360).

Almost surely, 2102323320 is an apocalyptic number.

102323320 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 102323320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131051520).

102323320 is an abundant number, since it is smaller than the sum of its proper divisors (159779720).

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

102323320 is a wasteful number, since it uses less digits than its factorization.

102323320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10156 (or 10152 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 102323320 is about 10115.4989990608. The cubic root of 102323320 is about 467.7260309946.

Adding to 102323320 its reverse (23323201), we get a palindrome (125646521).

The spelling of 102323320 in words is "one hundred two million, three hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 110 115 184 220 230 253 440 460 506 920 1012 1265 2024 2530 5060 10111 10120 20222 40444 50555 80888 101110 111221 202220 222442 232553 404440 444884 465106 556105 889768 930212 1112210 1162765 1860424 2224420 2325530 2558083 4448840 4651060 5116166 9302120 10232332 12790415 20464664 25580830 51161660 102323320