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2121111144 = 23339819959
BaseRepresentation
bin111111001101101…
…1001011001101000
312110211020121111000
41332123121121220
513321001024034
6550250435000
7103364101335
oct17633313150
95424217430
102121111144
11999348219
124b2432a60
1327a59cc69
141619c398c
15c6337599
hex7e6d9668

2121111144 has 32 divisors (see below), whose sum is σ = 5891976000. Its totient is φ = 707036976.

The previous prime is 2121111133. The next prime is 2121111149. The reversal of 2121111144 is 4411111212.

It is a super-2 number, since 2×21211111442 = 8998224970401977472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2121111149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4909764 + ... + 4910195.

It is an arithmetic number, because the mean of its divisors is an integer number (184124250).

Almost surely, 22121111144 is an apocalyptic number.

2121111144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2121111144 is an abundant number, since it is smaller than the sum of its proper divisors (3770864856).

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

2121111144 is a wasteful number, since it uses less digits than its factorization.

2121111144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9819974 (or 9819964 counting only the distinct ones).

The product of its digits is 64, while the sum is 18.

The square root of 2121111144 is about 46055.5224050276. The cubic root of 2121111144 is about 1284.8560541670.

Adding to 2121111144 its reverse (4411111212), we get a palindrome (6532222356).

The spelling of 2121111144 in words is "two billion, one hundred twenty-one million, one hundred eleven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 9819959 19639918 29459877 39279836 58919754 78559672 88379631 117839508 176759262 235679016 265138893 353518524 530277786 707037048 1060555572 2121111144