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10111210200 = 23325271361729
BaseRepresentation
bin10010110101010110…
…01101001011011000
3222002200000200211200
421122223031023120
5131201432211300
64351154154200
7505364603640
oct113253151330
928080020750
1010111210200
114319572973
121b62282960
13c51a57620
146bcc31520
153e2a29200
hex25aacd2d8

10111210200 has 288 divisors, whose sum is σ = 41793679200. Its totient is φ = 2133319680.

The previous prime is 10111210199. The next prime is 10111210231. The reversal of 10111210200 is 201211101.

It is a happy number.

10111210200 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 super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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 71 ways as a sum of consecutive naturals, for example, 132936 + ... + 194664.

Almost surely, 210111210200 is an apocalyptic number.

10111210200 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 10111210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20896839600).

10111210200 is an abundant number, since it is smaller than the sum of its proper divisors (31682469000).

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

10111210200 is a wasteful number, since it uses less digits than its factorization.

10111210200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61771 (or 61759 counting only the distinct ones).

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

Adding to 10111210200 its reverse (201211101), we get a palindrome (10312421301).

Subtracting from 10111210200 its reverse (201211101), we obtain a palindrome (9909999099).

The spelling of 10111210200 in words is "ten billion, one hundred eleven million, two hundred ten thousand, two hundred".