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2121200424 = 233274208731
BaseRepresentation
bin111111001101110…
…1111001100101000
312110211102010221200
41332123233030220
513321011403144
6550252404200
7103364622540
oct17633571450
95424363850
102121200424
119993a9302
124b2476660
1327a6017a5
14161a08320
15c6353c69
hex7e6ef328

2121200424 has 48 divisors (see below), whose sum is σ = 6565621920. Its totient is φ = 606057120.

The previous prime is 2121200401. The next prime is 2121200443. The reversal of 2121200424 is 4240021212.

2121200424 is a `hidden beast` number, since 21 + 21 + 200 + 424 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2121200397 and 2121200406.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2103862 + ... + 2104869.

It is an arithmetic number, because the mean of its divisors is an integer number (136783790).

Almost surely, 22121200424 is an apocalyptic number.

2121200424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2121200424 is an abundant number, since it is smaller than the sum of its proper divisors (4444421496).

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

2121200424 is a wasteful number, since it uses less digits than its factorization.

2121200424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4208750 (or 4208743 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2121200424 is about 46056.4916596998. The cubic root of 2121200424 is about 1284.8740809356.

Adding to 2121200424 its reverse (4240021212), we get a palindrome (6361221636).

The spelling of 2121200424 in words is "two billion, one hundred twenty-one million, two hundred thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 4208731 8417462 12626193 16834924 25252386 29461117 33669848 37878579 50504772 58922234 75757158 88383351 101009544 117844468 151514316 176766702 235688936 265150053 303028632 353533404 530300106 707066808 1060600212 2121200424