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10021021110 = 2355172353199
BaseRepresentation
bin10010101010100110…
…01010010110110110
3221212101022121200000
421111103022112312
5131010340133420
64334213132130
7503221162662
oct112523122666
927771277600
1010021021110
114282672531
121b3802a046
13c3916a5b9
146b0c758a2
153d9b61690
hex2554ca5b6

10021021110 has 384 divisors, whose sum is σ = 30569011200. Its totient is φ = 2348476416.

The previous prime is 10021021081. The next prime is 10021021123. The reversal of 10021021110 is 1112012001.

It is a happy number.

10021021110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10021021092 and 10021021101.

It is a congruent number.

It is an unprimeable number.

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, 50356791 + ... + 50356989.

It is an arithmetic number, because the mean of its divisors is an integer number (79606800).

Almost surely, 210021021110 is an apocalyptic number.

10021021110 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 10021021110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15284505600).

10021021110 is an abundant number, since it is smaller than the sum of its proper divisors (20547990090).

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

10021021110 is a wasteful number, since it uses less digits than its factorization.

10021021110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10021021110 its reverse (1112012001), we get a palindrome (11133033111).

The spelling of 10021021110 in words is "ten billion, twenty-one million, twenty-one thousand, one hundred ten".