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2122110221 = 711217293503
BaseRepresentation
bin111111001111100…
…1101010100001101
312110220010100221212
41332133031110031
513321230011341
6550324104205
7103405432160
oct17637152415
95426110855
102122110221
1199996a900
124b2835065
1327a85c92a
14161ba3ad7
15c64835eb
hex7e7cd50d

2122110221 has 48 divisors (see below), whose sum is σ = 2837866752. Its totient is φ = 1547927040.

The previous prime is 2122110197. The next prime is 2122110227. The reversal of 2122110221 is 1220112212.

It is a de Polignac number, because none of the positive numbers 2k-2122110221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2122110196 and 2122110205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122110227) 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, 4218656 + ... + 4219158.

It is an arithmetic number, because the mean of its divisors is an integer number (59122224).

Almost surely, 22122110221 is an apocalyptic number.

It is an amenable number.

2122110221 is a deficient number, since it is larger than the sum of its proper divisors (715756531).

2122110221 is a wasteful number, since it uses less digits than its factorization.

2122110221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 2122110221 is about 46066.3675689760. The cubic root of 2122110221 is about 1285.0577516980.

Adding to 2122110221 its reverse (1220112212), we get a palindrome (3342222433).

The spelling of 2122110221 in words is "two billion, one hundred twenty-two million, one hundred ten thousand, two hundred twenty-one".

Divisors: 1 7 11 17 77 119 121 187 293 503 847 1309 2051 2057 3223 3521 4981 5533 8551 14399 22561 34867 35453 38731 54791 59857 60863 94061 147379 248171 383537 426041 602701 658427 1031653 1034671 1621169 2505443 4218907 7242697 11348183 17538101 17832859 27559873 124830013 192919111 303158603 2122110221