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10022123130030 = 23251176924415393
BaseRepresentation
bin1001000111010111010100…
…0101101100110010101110
31022111002211222210200221200
42101311311011230302232
52303200302010130110
633152033320310330
72053034361011544
oct221656505546256
938432758720850
1010022123130030
1132143a425a060
12115a4309123a6
1357910b65bccb
142691053a1d94
15125a722946c0
hex91d7516ccae

10022123130030 has 192 divisors, whose sum is σ = 28480291519680. Its totient is φ = 2425002393600.

The previous prime is 10022123130007. The next prime is 10022123130179. The reversal of 10022123130030 is 3003132122001.

10022123130030 is a `hidden beast` number, since 100 + 2 + 2 + 1 + 231 + 300 + 30 = 666.

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 = 10022123129985 and 10022123130012.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 1858355014 + ... + 1858360406.

It is an arithmetic number, because the mean of its divisors is an integer number (148334851665).

Almost surely, 210022123130030 is an apocalyptic number.

10022123130030 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 10022123130030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14240145759840).

10022123130030 is an abundant number, since it is smaller than the sum of its proper divisors (18458168389650).

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

10022123130030 is a wasteful number, since it uses less digits than its factorization.

10022123130030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8627 (or 8624 counting only the distinct ones).

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

Adding to 10022123130030 its reverse (3003132122001), we get a palindrome (13025255252031).

The spelling of 10022123130030 in words is "ten trillion, twenty-two billion, one hundred twenty-three million, one hundred thirty thousand, thirty".