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2121111012 = 2231789116827
BaseRepresentation
bin111111001101101…
…1001010111100100
312110211020121022010
41332123121113210
513321001023022
6550250434220
7103364101056
oct17633312744
95424217263
102121111012
11999348109
124b2432970
1327a59cb97
141619c38d6
15c633750c
hex7e6d95e4

2121111012 has 48 divisors (see below), whose sum is σ = 5299318080. Its totient is φ = 657964032.

The previous prime is 2121111007. The next prime is 2121111019. The reversal of 2121111012 is 2101111212.

It is a super-2 number, since 2×21211110122 = 8998223850455328288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2121111019) 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 15 ways as a sum of consecutive naturals, for example, 40258 + ... + 76569.

It is an arithmetic number, because the mean of its divisors is an integer number (110402460).

Almost surely, 22121111012 is an apocalyptic number.

It is an amenable number.

2121111012 is an abundant number, since it is smaller than the sum of its proper divisors (3178207068).

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

2121111012 is a wasteful number, since it uses less digits than its factorization.

2121111012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116940 (or 116938 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

The square root of 2121111012 is about 46055.5209719747. The cubic root of 2121111012 is about 1284.8560275142.

Adding to 2121111012 its reverse (2101111212), we get a palindrome (4222222224).

It can be divided in two parts, 21211 and 11012, that added together give a palindrome (32223).

The spelling of 2121111012 in words is "two billion, one hundred twenty-one million, one hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 89 102 178 204 267 356 534 1068 1513 3026 4539 6052 9078 18156 116827 233654 350481 467308 700962 1401924 1986059 3972118 5958177 7944236 10397603 11916354 20795206 23832708 31192809 41590412 62385618 124771236 176759251 353518502 530277753 707037004 1060555506 2121111012