Search a number
-
+
2111212200020 = 2257111943239023
BaseRepresentation
bin11110101110001110000…
…011011010000001010100
321110211102000012222011012
4132232032003122001110
5234042230310400040
64253513312231352
7305346543415250
oct36561603320124
97424360188135
102111212200020
117443a627a7a0
122a120083b558
13124117c377a1
147427ca5b260
1539db6720865
hex1eb8e0da054

2111212200020 has 288 divisors, whose sum is σ = 5957072916480. Its totient is φ = 608893044480.

The previous prime is 2111212199959. The next prime is 2111212200059. The reversal of 2111212200020 is 200022121112.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 2111212199968 and 2111212200004.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 54082229 + ... + 54121251.

It is an arithmetic number, because the mean of its divisors is an integer number (20684280960).

Almost surely, 22111212200020 is an apocalyptic number.

2111212200020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2111212200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2978536458240).

2111212200020 is an abundant number, since it is smaller than the sum of its proper divisors (3845860716460).

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

2111212200020 is a wasteful number, since it uses less digits than its factorization.

2111212200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39155 (or 39110 counting only the distinct ones).

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

Adding to 2111212200020 its reverse (200022121112), we get a palindrome (2311234321132).

The spelling of 2111212200020 in words is "two trillion, one hundred eleven billion, two hundred twelve million, two hundred thousand, twenty".