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210000001112 = 231173297111003
BaseRepresentation
bin1100001110010011111…
…0011011100001011000
3202002001021001101010222
43003210332123201120
511420040000013422
6240250032455212
721112665362126
oct3034476334130
9662037041128
10210000001112
1181073587030
12348486aa508
1316a59009cb5
14a242244916
1556e1332842
hex30e4f9b858

210000001112 has 64 divisors (see below), whose sum is σ = 435615788160. Its totient is φ = 94106707200.

The previous prime is 210000001111. The next prime is 210000001117. The reversal of 210000001112 is 211100000012.

210000001112 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 (8).

It is a self number, because there is not a number n which added to its sum of digits gives 210000001112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210000001111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19080203 + ... + 19091205.

It is an arithmetic number, because the mean of its divisors is an integer number (6806496690).

Almost surely, 2210000001112 is an apocalyptic number.

210000001112 is a gapful number since it is divisible by the number (22) 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 210000001112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217807894080).

210000001112 is an abundant number, since it is smaller than the sum of its proper divisors (225615787048).

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

210000001112 is a wasteful number, since it uses less digits than its factorization.

210000001112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14064 (or 14060 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 210000001112 its reverse (211100000012), we get a palindrome (421100001124).

The spelling of 210000001112 in words is "two hundred ten billion, one thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 44 73 88 146 292 584 803 1606 2971 3212 5942 6424 11003 11884 22006 23768 32681 44012 65362 88024 121033 130724 216883 242066 261448 433766 484132 803219 867532 968264 1606438 1735064 2385713 3212876 4771426 6425752 8835409 9542852 17670818 19085704 32689913 35341636 65379826 70683272 130759652 261519304 359589043 719178086 1438356172 2386363649 2876712344 4772727298 9545454596 19090909192 26250000139 52500000278 105000000556 210000001112