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2111104200 = 23352171391489
BaseRepresentation
bin111110111010100…
…1110010011001000
312110010102012112110
41331311032103020
513310420313300
6545252142320
7103213042512
oct17565162310
95403365473
102111104200
11993732917
124ab0079a0
132784a81aa
1416053abb2
15c550c550
hex7dd4e4c8

2111104200 has 192 divisors, whose sum is σ = 6983928000. Its totient is φ = 525680640.

The previous prime is 2111104133. The next prime is 2111104211. The reversal of 2111104200 is 24011112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 47 ways as a sum of consecutive naturals, for example, 1417056 + ... + 1418544.

It is an arithmetic number, because the mean of its divisors is an integer number (36374625).

Almost surely, 22111104200 is an apocalyptic number.

2111104200 is a gapful number since it is divisible by the number (20) 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 2111104200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3491964000).

2111104200 is an abundant number, since it is smaller than the sum of its proper divisors (4872823800).

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

2111104200 is a wasteful number, since it uses less digits than its factorization.

2111104200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664 (or 1655 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 2111104200 is about 45946.7539658679. The cubic root of 2111104200 is about 1282.8323105599.

Adding to 2111104200 its reverse (24011112), we get a palindrome (2135115312).

The spelling of 2111104200 in words is "two billion, one hundred eleven million, one hundred four thousand, two hundred".