Search a number
-
+
2121311000 = 235317124783
BaseRepresentation
bin111111001110000…
…1010001100011000
312110211121202122002
41332130022030120
513321023423000
6550255020132
7103365563114
oct17634121430
95424552562
102121311000
11999474396
124b250a648
1327a63cc13
14161a36744
15c63768d5
hex7e70a318

2121311000 has 64 divisors (see below), whose sum is σ = 5255902080. Its totient is φ = 798604800.

The previous prime is 2121310991. The next prime is 2121311011. The reversal of 2121311000 is 1131212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45392 + ... + 79391.

It is an arithmetic number, because the mean of its divisors is an integer number (82123470).

Almost surely, 22121311000 is an apocalyptic number.

2121311000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121311000 is an abundant number, since it is smaller than the sum of its proper divisors (3134591080).

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

2121311000 is a wasteful number, since it uses less digits than its factorization.

2121311000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124821 (or 124807 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 2121311000 is about 46057.6920828649. The cubic root of 2121311000 is about 1284.8964069365.

Adding to 2121311000 its reverse (1131212), we get a palindrome (2122442212).

The spelling of 2121311000 in words is "two billion, one hundred twenty-one million, three hundred eleven thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 425 500 680 850 1000 1700 2125 3400 4250 8500 17000 124783 249566 499132 623915 998264 1247830 2121311 2495660 3119575 4242622 4991320 6239150 8485244 10606555 12478300 15597875 16970488 21213110 24956600 31195750 42426220 53032775 62391500 84852440 106065550 124783000 212131100 265163875 424262200 530327750 1060655500 2121311000