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2121588920 = 235114821793
BaseRepresentation
bin111111001110100…
…1110000010111000
312110212010212212102
41332131032002320
513321111321140
6550305002532
7103401131303
oct17635160270
95425125772
102121588920
11999644180
124b2623448
1327a709579
14161aa9b3a
15c63cde15
hex7e74e0b8

2121588920 has 32 divisors (see below), whose sum is σ = 5207537520. Its totient is φ = 771486720.

The previous prime is 2121588919. The next prime is 2121588961. The reversal of 2121588920 is 298851212.

It is a super-2 number, since 2×21215889202 = 9002279090933532800, which contains 22 as substring.

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, 2410457 + ... + 2411336.

Almost surely, 22121588920 is an apocalyptic number.

2121588920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121588920 is an abundant number, since it is smaller than the sum of its proper divisors (3085948600).

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

2121588920 is a wasteful number, since it uses less digits than its factorization.

2121588920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4821815 (or 4821811 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 38.

The square root of 2121588920 is about 46060.7090696615. The cubic root of 2121588920 is about 1284.9525173348.

The spelling of 2121588920 in words is "two billion, one hundred twenty-one million, five hundred eighty-eight thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 4821793 9643586 19287172 24108965 38574344 48217930 53039723 96435860 106079446 192871720 212158892 265198615 424317784 530397230 1060794460 2121588920