Search a number
-
+
10031122032300 = 223252172272888233
BaseRepresentation
bin1001000111111000110101…
…1101110010011010101100
31022111222002010211022011100
42101332031131302122230
52303322214220013200
633200122302123100
72053503361301325
oct221761535623254
938458063738140
1010031122032300
1132181a1970576
121160122580490
13579c13b16755
1426971a5ad44c
15125dec305d00
hex91f8d7726ac

10031122032300 has 216 divisors, whose sum is σ = 33438194099856. Its totient is φ = 2506523258880.

The previous prime is 10031122032299. The next prime is 10031122032367. The reversal of 10031122032300 is 323022113001.

10031122032300 is a `hidden beast` number, since 1 + 0 + 0 + 311 + 2 + 20 + 32 + 300 = 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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2028984 + ... + 4917216.

It is an arithmetic number, because the mean of its divisors is an integer number (154806454166).

Almost surely, 210031122032300 is an apocalyptic number.

10031122032300 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 10031122032300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16719097049928).

10031122032300 is an abundant number, since it is smaller than the sum of its proper divisors (23407072067556).

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

10031122032300 is a wasteful number, since it uses less digits than its factorization.

10031122032300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2888497 (or 2888487 counting only the distinct ones).

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

Adding to 10031122032300 its reverse (323022113001), we get a palindrome (10354144145301).

The spelling of 10031122032300 in words is "ten trillion, thirty-one billion, one hundred twenty-two million, thirty-two thousand, three hundred".