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2122111131 = 37979110321
BaseRepresentation
bin111111001111100…
…1101100010011011
312110220010102012120
41332133031202123
513321230024011
6550324112323
7103405434630
oct17637154233
95426112176
102122111131
11999970558
124b28356a3
1327a86017a
14161ba4187
15c6483a06
hex7e7cd89b

2122111131 has 16 divisors (see below), whose sum is σ = 3234336768. Its totient is φ = 1212393600.

The previous prime is 2122111129. The next prime is 2122111171. The reversal of 2122111131 is 1311112212.

It is not a de Polignac number, because 2122111131 - 21 = 2122111129 is a prime.

It is a super-2 number, since 2×21221111312 = 9006711304628198322, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2122111131.

It is not an unprimeable number, because it can be changed into a prime (2122111171) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200451 + ... + 210771.

It is an arithmetic number, because the mean of its divisors is an integer number (202146048).

Almost surely, 22122111131 is an apocalyptic number.

2122111131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2122111131 is a deficient number, since it is larger than the sum of its proper divisors (1112225637).

2122111131 is a wasteful number, since it uses less digits than its factorization.

2122111131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20122.

The product of its digits is 24, while the sum is 15.

The square root of 2122111131 is about 46066.3774460289. The cubic root of 2122111131 is about 1285.0579353834.

Adding to 2122111131 its reverse (1311112212), we get a palindrome (3433223343).

The spelling of 2122111131 in words is "two billion, one hundred twenty-two million, one hundred eleven thousand, one hundred thirty-one".

Divisors: 1 3 7 21 9791 10321 29373 30963 68537 72247 205611 216741 101052911 303158733 707370377 2122111131