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2121339363 = 3111353791181
BaseRepresentation
bin111111001110001…
…0001000111100011
312110211200012112120
41332130101013203
513321030324423
6550255355323
7103366041603
oct17634210743
95424605476
102121339363
11999493730
124b2522b43
1327a64cac0
14161a42c03
15c637eee3
hex7e7111e3

2121339363 has 64 divisors (see below), whose sum is σ = 3431393280. Its totient is φ = 1148659200.

The previous prime is 2121339317. The next prime is 2121339391. The reversal of 2121339363 is 3639331212.

It is a Cunningham number, because it is equal to 460582-1.

It is not a de Polignac number, because 2121339363 - 28 = 2121339107 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (2121339163) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1795633 + ... + 1796813.

It is an arithmetic number, because the mean of its divisors is an integer number (53615520).

Almost surely, 22121339363 is an apocalyptic number.

2121339363 is a deficient number, since it is larger than the sum of its proper divisors (1310053917).

2121339363 is a wasteful number, since it uses less digits than its factorization.

2121339363 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340.

The product of its digits is 17496, while the sum is 33.

The square root of 2121339363 is about 46057.9999891441. Note that the first 4 decimals coincide. The cubic root of 2121339363 is about 1284.9021334824.

The spelling of 2121339363 in words is "two billion, one hundred twenty-one million, three hundred thirty-nine thousand, three hundred sixty-three".

Divisors: 1 3 11 13 33 39 53 79 143 159 237 429 583 689 869 1027 1181 1749 2067 2607 3081 3543 4187 7579 11297 12561 12991 15353 22737 33891 38973 46057 46059 54431 62593 93299 138171 163293 168883 187779 279897 506649 598741 688523 813709 1026289 1212887 1796223 2065569 2441127 3078867 3638661 4944847 8950799 13341757 14834541 26852397 40025271 54393317 64283011 163179951 192849033 707113121 2121339363