Search a number
-
+
2121200000 = 27555303
BaseRepresentation
bin111111001101110…
…1111000110000000
312110211102010100222
41332123233012000
513321011400000
6550252402212
7103364621363
oct17633570600
95424363328
102121200000
119993a8a57
124b2476368
1327a60153a
14161a080da
15c6353a85
hex7e6ef180

2121200000 has 96 divisors (see below), whose sum is σ = 5282943120. Its totient is φ = 848320000.

The previous prime is 2121199999. The next prime is 2121200021. The reversal of 2121200000 is 21212.

It is a Harshad number since it is a multiple of its sum of digits (8).

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 11 ways as a sum of consecutive naturals, for example, 397349 + ... + 402651.

Almost surely, 22121200000 is an apocalyptic number.

2121200000 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 2121200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2641471560).

2121200000 is an abundant number, since it is smaller than the sum of its proper divisors (3161743120).

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

2121200000 is an frugal number, since it uses more digits than its factorization.

2121200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5342 (or 5310 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 2121200000 is about 46056.4870566569. The cubic root of 2121200000 is about 1284.8739953258.

Adding to 2121200000 its reverse (21212), we get a palindrome (2121221212).

2121200000 divided by its reverse (21212) gives a 5-th power (100000 = 105).

The spelling of 2121200000 in words is "two billion, one hundred twenty-one million, two hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 5303 6250 8000 10000 10606 12500 16000 20000 21212 25000 26515 40000 42424 50000 53030 80000 84848 100000 106060 132575 169696 200000 212120 265150 339392 400000 424240 530300 662875 678784 848480 1060600 1325750 1696960 2121200 2651500 3314375 3393920 4242400 5303000 6628750 8484800 10606000 13257500 16571875 16969600 21212000 26515000 33143750 42424000 53030000 66287500 84848000 106060000 132575000 212120000 265150000 424240000 530300000 1060600000 2121200000