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2121333093 = 3211291734271
BaseRepresentation
bin111111001110000…
…1111100101100101
312110211122212221100
41332130033211211
513321030124333
6550255310313
7103366014405
oct17634174545
95424585840
102121333093
11999489a50
124b251b399
1327a649ca9
14161a40805
15c637d213
hex7e70f965

2121333093 has 48 divisors (see below), whose sum is σ = 3478775040. Its totient is φ = 1233859200.

The previous prime is 2121333091. The next prime is 2121333107. The reversal of 2121333093 is 3903331212.

It is not a de Polignac number, because 2121333093 - 21 = 2121333091 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121333091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 494548 + ... + 498818.

It is an arithmetic number, because the mean of its divisors is an integer number (72474480).

Almost surely, 22121333093 is an apocalyptic number.

It is an amenable number.

2121333093 is a deficient number, since it is larger than the sum of its proper divisors (1357441947).

2121333093 is a wasteful number, since it uses less digits than its factorization.

2121333093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4490 (or 4487 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 2121333093 is about 46057.9319227427. The cubic root of 2121333093 is about 1284.9008675613.

The spelling of 2121333093 in words is "two billion, one hundred twenty-one million, three hundred thirty-three thousand, ninety-three".

Divisors: 1 3 9 11 29 33 87 99 173 261 319 519 957 1557 1903 2871 4271 5017 5709 12813 15051 17127 38439 45153 46981 55187 123859 140943 165561 371577 422829 496683 738883 1114731 1362449 2216649 4087347 6649947 8127713 12262041 21427607 24383139 64282821 73149417 192848463 235703677 707111031 2121333093