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2121112020 = 223535351867
BaseRepresentation
bin111111001101101…
…1001100111010100
312110211020122200110
41332123121213110
513321001041040
6550250443020
7103364104026
oct17633314724
95424218613
102121112020
11999348945
124b2433470
1327a5a0491
141619c4016
15c6337980
hex7e6d99d4

2121112020 has 24 divisors (see below), whose sum is σ = 5939113824. Its totient is φ = 565629856.

The previous prime is 2121112013. The next prime is 2121112027. The reversal of 2121112020 is 202111212.

It is an interprime number because it is at equal distance from previous prime (2121112013) and next prime (2121112027).

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

It is a junction number, because it is equal to n+sod(n) for n = 2121111987 and 2121112005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121112027) 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 7 ways as a sum of consecutive naturals, for example, 17675874 + ... + 17675993.

It is an arithmetic number, because the mean of its divisors is an integer number (247463076).

Almost surely, 22121112020 is an apocalyptic number.

2121112020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121112020 is an abundant number, since it is smaller than the sum of its proper divisors (3818001804).

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

2121112020 is a wasteful number, since it uses less digits than its factorization.

2121112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35351879 (or 35351877 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 2121112020 is about 46055.5319152868. The cubic root of 2121112020 is about 1284.8562310450.

Adding to 2121112020 its reverse (202111212), we get a palindrome (2323223232).

The spelling of 2121112020 in words is "two billion, one hundred twenty-one million, one hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 35351867 70703734 106055601 141407468 176759335 212111202 353518670 424222404 530278005 707037340 1060556010 2121112020