Search a number
-
+
2210212012120 = 235723343200623
BaseRepresentation
bin100000001010011010111…
…001101110000001011000
321211021221110211111112121
4200022122321232001120
5242203003233341440
64411205105551024
7315453054061120
oct40123271560130
97737843744477
102210212012120
11782389073922
122b842b645474
13130564472668
1478d90d21c80
153c75cc3d34a
hex2029ae6e058

2210212012120 has 64 divisors (see below), whose sum is σ = 5930506782720. Its totient is φ = 724839713664.

The previous prime is 2210212012087. The next prime is 2210212012123. The reversal of 2210212012120 is 212102120122.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2210212012094 and 2210212012103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2210212012123) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 171593872 + ... + 171606751.

It is an arithmetic number, because the mean of its divisors is an integer number (92664168480).

Almost surely, 22210212012120 is an apocalyptic number.

2210212012120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2210212012120 is an abundant number, since it is smaller than the sum of its proper divisors (3720294770600).

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

2210212012120 is a wasteful number, since it uses less digits than its factorization.

2210212012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343200664 (or 343200660 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2210212012120 its reverse (212102120122), we get a palindrome (2422314132242).

The spelling of 2210212012120 in words is "two trillion, two hundred ten billion, two hundred twelve million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 92 115 140 161 184 230 280 322 460 644 805 920 1288 1610 3220 6440 343200623 686401246 1372802492 1716003115 2402404361 2745604984 3432006230 4804808722 6864012460 7893614329 9609617444 12012021805 13728024920 15787228658 19219234888 24024043610 31574457316 39468071645 48048087220 55255300303 63148914632 78936143290 96096174440 110510600606 157872286580 221021201212 276276501515 315744573160 442042402424 552553003030 1105106006060 2210212012120