Search a number
-
+
123203210130 = 23257111323371607
BaseRepresentation
bin111001010111101111…
…0111100101110010010
3102210000020120112201200
41302233132330232102
54004310010211010
6132333200212030
711621043002310
oct1625736745622
9383006515650
10123203210130
1148283000320
121ba6460a016
13b805a0b090
145d6a9290b0
1533112d9cc0
hex1caf7bcb92

123203210130 has 768 divisors, whose sum is σ = 461207126016. Its totient is φ = 21979330560.

The previous prime is 123203210099. The next prime is 123203210173. The reversal of 123203210130 is 31012302321.

123203210130 is a `hidden beast` number, since 1 + 2 + 320 + 3 + 210 + 130 = 666.

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

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 383 ways as a sum of consecutive naturals, for example, 76665787 + ... + 76667393.

It is an arithmetic number, because the mean of its divisors is an integer number (600530112).

Almost surely, 2123203210130 is an apocalyptic number.

123203210130 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 123203210130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230603563008).

123203210130 is an abundant number, since it is smaller than the sum of its proper divisors (338003915886).

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

123203210130 is a wasteful number, since it uses less digits than its factorization.

123203210130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1711 (or 1708 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 123203210130 its reverse (31012302321), we get a palindrome (154215512451).

It can be divided in two parts, 123203 and 210130, that added together give a palindrome (333333).

The spelling of 123203210130 in words is "one hundred twenty-three billion, two hundred three million, two hundred ten thousand, one hundred thirty".