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2114121400 = 235210570607
BaseRepresentation
bin111111000000010…
…1110111010111000
312110100002111100121
41332000232322320
513312203341100
6545440543024
7103250510146
oct17600567270
95410074317
102114121400
11995403776
124b0021a74
13278cc3611
14160ac4596
15c590651a
hex7e02eeb8

2114121400 has 24 divisors (see below), whose sum is σ = 4915332720. Its totient is φ = 845648480.

The previous prime is 2114121371. The next prime is 2114121413. The reversal of 2114121400 is 41214112.

It is a happy number.

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 5 ways as a sum of consecutive naturals, for example, 5285104 + ... + 5285503.

It is an arithmetic number, because the mean of its divisors is an integer number (204805530).

Almost surely, 22114121400 is an apocalyptic number.

2114121400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2114121400 is an abundant number, since it is smaller than the sum of its proper divisors (2801211320).

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

2114121400 is a wasteful number, since it uses less digits than its factorization.

2114121400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10570623 (or 10570614 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 2114121400 is about 45979.5759006105. The cubic root of 2114121400 is about 1283.4431629547.

Adding to 2114121400 its reverse (41214112), we get a palindrome (2155335512).

The spelling of 2114121400 in words is "two billion, one hundred fourteen million, one hundred twenty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 10570607 21141214 42282428 52853035 84564856 105706070 211412140 264265175 422824280 528530350 1057060700 2114121400