Search a number
-
+
2121404120 = 235114821373
BaseRepresentation
bin111111001110010…
…0000111011011000
312110211210111100222
41332130200323120
513321034412440
6550301015212
7103366431443
oct17634407330
95424714328
102121404120
11999528350
124b2554508
1327a673414
14161a5c65a
15c63942b5
hex7e720ed8

2121404120 has 32 divisors (see below), whose sum is σ = 5207083920. Its totient is φ = 771419520.

The previous prime is 2121404111. The next prime is 2121404141. The reversal of 2121404120 is 214041212.

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 7 ways as a sum of consecutive naturals, for example, 2410247 + ... + 2411126.

Almost surely, 22121404120 is an apocalyptic number.

2121404120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121404120 is an abundant number, since it is smaller than the sum of its proper divisors (3085679800).

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

2121404120 is a wasteful number, since it uses less digits than its factorization.

2121404120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4821395 (or 4821391 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 2121404120 is about 46058.7029778304. The cubic root of 2121404120 is about 1284.9152078577.

Adding to 2121404120 its reverse (214041212), we get a palindrome (2335445332).

The spelling of 2121404120 in words is "two billion, one hundred twenty-one million, four hundred four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 4821373 9642746 19285492 24106865 38570984 48213730 53035103 96427460 106070206 192854920 212140412 265175515 424280824 530351030 1060702060 2121404120