Search a number
-
+
2212111000000 = 265611201101
BaseRepresentation
bin100000001100001100000…
…101110010000111000000
321211110211211010002012001
4200030030011302013000
5242220400404000000
64412121343513344
7315551113153666
oct40141405620700
97743754102161
102212111000000
11783172a985a0
122b887b5b8854
131307a7a10625
14790d1204c36
153c81e7eb46a
hex2030c1721c0

2212111000000 has 196 divisors, whose sum is σ = 5985850098888. Its totient is φ = 804400000000.

The previous prime is 2212110999991. The next prime is 2212111000031. The reversal of 2212111000000 is 1112122.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 10899450 + ... + 11100550.

Almost surely, 22212111000000 is an apocalyptic number.

2212111000000 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 2212111000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2992925049444).

2212111000000 is an abundant number, since it is smaller than the sum of its proper divisors (3773739098888).

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

2212111000000 is an frugal number, since it uses more digits than its factorization.

2212111000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201154 (or 201119 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2212111000000 its reverse (1112122), we get a palindrome (2212112112122).

The spelling of 2212111000000 in words is "two trillion, two hundred twelve billion, one hundred eleven million", and thus it is an aban number.