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1010020102200 = 2332523730414987
BaseRepresentation
bin11101011001010011110…
…00111011000000111000
310120120001001000100122100
432230221320323000320
5113022010121232300
62051555152023400
7132654145133664
oct16545170730070
93516031010570
101010020102200
1135a39001aa9a
121438b9831b60
13743241a3ab5
1436c5711d8a4
151b416295700
hexeb29e3b038

1010020102200 has 288 divisors, whose sum is σ = 3485503766160. Its totient is φ = 261920563200.

The previous prime is 1010020102187. The next prime is 1010020102207. The reversal of 1010020102200 is 22010200101.

1010020102200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10100201022003 (a number of 37 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010020102207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 202528107 + ... + 202533093.

Almost surely, 21010020102200 is an apocalyptic number.

1010020102200 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 1010020102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1742751883080).

1010020102200 is an abundant number, since it is smaller than the sum of its proper divisors (2475483663960).

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

1010020102200 is a wasteful number, since it uses less digits than its factorization.

1010020102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8087 (or 8075 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1010020102200 its reverse (22010200101), we get a palindrome (1032030302301).

The spelling of 1010020102200 in words is "one trillion, ten billion, twenty million, one hundred two thousand, two hundred".