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2121790830 = 2351011136197
BaseRepresentation
bin111111001110111…
…1111010101101110
312110212112010211120
41332131333111232
513321134301310
6550313201410
7103402632045
oct17635772556
95425463746
102121790830
11999771945
124b2700266
1327a77a443
14161b1d55c
15c641db70
hex7e77f56e

2121790830 has 64 divisors (see below), whose sum is σ = 5189064768. Its totient is φ = 555161600.

The previous prime is 2121790807. The next prime is 2121790841. The reversal of 2121790830 is 380971212.

It is a super-3 number, since 3×21217908303 (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2121790791 and 2121790800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 339292 + ... + 345488.

It is an arithmetic number, because the mean of its divisors is an integer number (81079137).

Almost surely, 22121790830 is an apocalyptic number.

2121790830 is an abundant number, since it is smaller than the sum of its proper divisors (3067273938).

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

2121790830 is a wasteful number, since it uses less digits than its factorization.

2121790830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6421.

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 2121790830 is about 46062.9007987990. The cubic root of 2121790830 is about 1284.9932786923.

The spelling of 2121790830 in words is "two billion, one hundred twenty-one million, seven hundred ninety thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 101 113 202 226 303 339 505 565 606 678 1010 1130 1515 1695 3030 3390 6197 11413 12394 18591 22826 30985 34239 37182 57065 61970 68478 92955 114130 171195 185910 342390 625897 700261 1251794 1400522 1877691 2100783 3129485 3501305 3755382 4201566 6258970 7002610 9388455 10503915 18776910 21007830 70726361 141452722 212179083 353631805 424358166 707263610 1060895415 2121790830