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105523215030 = 23251172480167
BaseRepresentation
bin110001001000110101…
…1000111101010110110
3101002101002112201220100
41202101223013222312
53212102420340110
6120250544414530
710423651346142
oct1422153075266
9332332481810
10105523215030
1140830116322
121854b617446
139c48b9100c
1451707dc222
152b29092bc0
hex1891ac7ab6

105523215030 has 24 divisors (see below), whose sum is σ = 274360359312. Its totient is φ = 28139523984.

The previous prime is 105523215029. The next prime is 105523215043. The reversal of 105523215030 is 30512325501.

It is a happy number.

105523215030 is a `hidden beast` number, since 1 + 0 + 552 + 32 + 1 + 50 + 30 = 666.

It is a super-2 number, since 2×1055232150302 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105523214985 and 105523215003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 586239994 + ... + 586240173.

It is an arithmetic number, because the mean of its divisors is an integer number (11431681638).

Almost surely, 2105523215030 is an apocalyptic number.

105523215030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105523215030 is an abundant number, since it is smaller than the sum of its proper divisors (168837144282).

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

105523215030 is a wasteful number, since it uses less digits than its factorization.

105523215030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172480180 (or 1172480177 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The spelling of 105523215030 in words is "one hundred five billion, five hundred twenty-three million, two hundred fifteen thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1172480167 2344960334 3517440501 5862400835 7034881002 10552321503 11724801670 17587202505 21104643006 35174405010 52761607515 105523215030