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2114012100 = 223527046707
BaseRepresentation
bin111111000000001…
…0100001111000100
312110022212221102110
41332000110033010
513312141341400
6545434341020
7103246543404
oct17600241704
95408787373
102114012100
11995339642
124abb8a770
13278c85945
14160a96804
15c58d3e50
hex7e0143c4

2114012100 has 36 divisors (see below), whose sum is σ = 6116542544. Its totient is φ = 563736480.

The previous prime is 2114012099. The next prime is 2114012119. The reversal of 2114012100 is 12104112.

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 (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3523054 + ... + 3523653.

Almost surely, 22114012100 is an apocalyptic number.

2114012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2114012100 is an abundant number, since it is smaller than the sum of its proper divisors (4002530444).

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

2114012100 is a wasteful number, since it uses less digits than its factorization.

2114012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7046724 (or 7046717 counting only the distinct ones).

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

The square root of 2114012100 is about 45978.3873140414. The cubic root of 2114012100 is about 1283.4210445851.

Adding to 2114012100 its reverse (12104112), we get a palindrome (2126116212).

It can be divided in two parts, 2114012 and 100, that added together give a palindrome (2114112).

The spelling of 2114012100 in words is "two billion, one hundred fourteen million, twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 7046707 14093414 21140121 28186828 35233535 42280242 70467070 84560484 105700605 140934140 176167675 211401210 352335350 422802420 528503025 704670700 1057006050 2114012100