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102423102120 = 2332517101165701
BaseRepresentation
bin101111101100011100…
…1001000001010101000
3100210101001010200110200
41133120321020022220
53134230303231440
6115015202312200
710254066001113
oct1373071101250
9323331120420
10102423102120
113a48a197639
1217a25358660
139873826791
144d58bb557a
1529e6d25c30
hex17d8e482a8

102423102120 has 192 divisors, whose sum is σ = 355947780240. Its totient is φ = 25451520000.

The previous prime is 102423102109. The next prime is 102423102121. The reversal of 102423102120 is 21201324201.

It is a happy number.

102423102120 is a `hidden beast` number, since 102 + 42 + 310 + 212 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 98549533476 + 3873568644 = 313926^2 + 62238^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102423102093 and 102423102102.

It is not an unprimeable number, because it can be changed into a prime (102423102121) 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 47 ways as a sum of consecutive naturals, for example, 535270 + ... + 700970.

Almost surely, 2102423102120 is an apocalyptic number.

102423102120 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 102423102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177973890120).

102423102120 is an abundant number, since it is smaller than the sum of its proper divisors (253524678120).

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

102423102120 is a wasteful number, since it uses less digits than its factorization.

102423102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165836 (or 165829 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 102423102120 its reverse (21201324201), we get a palindrome (123624426321).

The spelling of 102423102120 in words is "one hundred two billion, four hundred twenty-three million, one hundred two thousand, one hundred twenty".