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122323110030 = 2325118397103149
BaseRepresentation
bin111000111101100000…
…1101000100010001110
3102200201220111211100200
41301323001220202032
54001004204010110
6132110000434330
711560165164642
oct1617301504216
9380656454320
10122323110030
1147971230070
121b8599189a6
13b6c55913a4
145cc5aacc22
1532addde6c0
hex1c7b06888e

122323110030 has 384 divisors, whose sum is σ = 360601113600. Its totient is φ = 28520570880.

The previous prime is 122323109977. The next prime is 122323110031. The reversal of 122323110030 is 30011323221.

It is a super-2 number, since 2×1223231100302 (a number of 23 digits) contains 22 as substring.

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 = 122323109985 and 122323110012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122323110031) 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 191 ways as a sum of consecutive naturals, for example, 820960396 + ... + 820960544.

It is an arithmetic number, because the mean of its divisors is an integer number (939065400).

Almost surely, 2122323110030 is an apocalyptic number.

122323110030 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 122323110030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180300556800).

122323110030 is an abundant number, since it is smaller than the sum of its proper divisors (238278003570).

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

122323110030 is a wasteful number, since it uses less digits than its factorization.

122323110030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 453 counting only the distinct ones).

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

Adding to 122323110030 its reverse (30011323221), we get a palindrome (152334433251).

The spelling of 122323110030 in words is "one hundred twenty-two billion, three hundred twenty-three million, one hundred ten thousand, thirty".