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2012210100 = 223552174871
BaseRepresentation
bin111011111101111…
…1110001110110100
312012020022212100000
41313323332032310
513110111210400
6531400351300
7100602334515
oct16773761664
95166285300
102012210100
1194292725a
12481a75530
13260b60b84
14151356a0c
15bb9c5600
hex77efe3b4

2012210100 has 216 divisors, whose sum is σ = 6926931648. Its totient is φ = 504921600.

The previous prime is 2012210041. The next prime is 2012210171. The reversal of 2012210100 is 10122102.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 410665 + ... + 415535.

It is an arithmetic number, because the mean of its divisors is an integer number (32069128).

Almost surely, 22012210100 is an apocalyptic number.

2012210100 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 2012210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3463465824).

2012210100 is an abundant number, since it is smaller than the sum of its proper divisors (4914721548).

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

2012210100 is a wasteful number, since it uses less digits than its factorization.

2012210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4917 (or 4898 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2012210100 is about 44857.6648968713. The cubic root of 2012210100 is about 1262.4798101532.

Adding to 2012210100 its reverse (10122102), we get a palindrome (2022332202).

The spelling of 2012210100 in words is "two billion, twelve million, two hundred ten thousand, one hundred".