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2100211212 = 22311176167229
BaseRepresentation
bin111110100101110…
…1010111000001100
312102100220210011110
41331023222320030
513300123224322
6544222452020
7103021333521
oct17513527014
95370823143
102100211212
11988572850
124a7434010
13276163038
1415cd03148
15c45a9c0c
hex7d2eae0c

2100211212 has 192 divisors, whose sum is σ = 5864624640. Its totient is φ = 577843200.

The previous prime is 2100211207. The next prime is 2100211249. The reversal of 2100211212 is 2121120012.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9171114 + ... + 9171342.

It is an arithmetic number, because the mean of its divisors is an integer number (30544920).

Almost surely, 22100211212 is an apocalyptic number.

2100211212 is a gapful number since it is divisible by the number (22) 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 2100211212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2932312320).

2100211212 is an abundant number, since it is smaller than the sum of its proper divisors (3764413428).

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

2100211212 is a wasteful number, since it uses less digits than its factorization.

2100211212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 390 counting only the distinct ones).

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

The square root of 2100211212 is about 45828.0614034676. The cubic root of 2100211212 is about 1280.6220958794.

Adding to 2100211212 its reverse (2121120012), we get a palindrome (4221331224).

It can be divided in two parts, 210021 and 1212, that multiplied together give a palindrome (254545452).

The spelling of 2100211212 in words is "two billion, one hundred million, two hundred eleven thousand, two hundred twelve".