Search a number
-
+
2121021200 = 245216332531
BaseRepresentation
bin111111001101100…
…0011011100010000
312110211002001002202
41332123003130100
513320440134300
6550244502332
7103363245164
oct17633033420
95424061082
102121021200
11999296691
124b23aa9a8
1327a56b03c
1416199cca4
15c631aad5
hex7e6c3710

2121021200 has 60 divisors (see below), whose sum is σ = 5127173328. Its totient is φ = 843177600.

The previous prime is 2121021197. The next prime is 2121021223. The reversal of 2121021200 is 21201212.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48935 + ... + 81465.

Almost surely, 22121021200 is an apocalyptic number.

2121021200 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 2121021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2563586664).

2121021200 is an abundant number, since it is smaller than the sum of its proper divisors (3006152128).

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

2121021200 is a wasteful number, since it uses less digits than its factorization.

2121021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32712 (or 32701 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 2121021200 is about 46054.5459211140. The cubic root of 2121021200 is about 1284.8378928169.

Adding to 2121021200 its reverse (21201212), we get a palindrome (2142222412).

The spelling of 2121021200 in words is "two billion, one hundred twenty-one million, twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 163 200 326 400 652 815 1304 1630 2608 3260 4075 6520 8150 13040 16300 32531 32600 65062 65200 130124 162655 260248 325310 520496 650620 813275 1301240 1626550 2602480 3253100 5302553 6506200 10605106 13012400 21210212 26512765 42420424 53025530 84840848 106051060 132563825 212102120 265127650 424204240 530255300 1060510600 2121021200