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12002100210 = 2335158328081
BaseRepresentation
bin10110010110110000…
…11000001111110010
31010222110001212022000
423023120120033302
5144040014201320
65302542354430
7603265111542
oct131330301762
933873055260
1012002100210
1150a9966591
1223ab58ba16
13119371b759
1481c007322
154a3a37c90
hex2cb6183f2

12002100210 has 64 divisors (see below), whose sum is σ = 32026959360. Its totient is φ = 3198424320.

The previous prime is 12002100179. The next prime is 12002100217. The reversal of 12002100210 is 1200120021.

12002100210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 12002100192 and 12002100201.

It is not an unprimeable number, because it can be changed into a prime (12002100217) 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 31 ways as a sum of consecutive naturals, for example, 413370 + ... + 441450.

It is an arithmetic number, because the mean of its divisors is an integer number (500421240).

Almost surely, 212002100210 is an apocalyptic number.

12002100210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12002100210 is an abundant number, since it is smaller than the sum of its proper divisors (20024859150).

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

12002100210 is a wasteful number, since it uses less digits than its factorization.

12002100210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29680 (or 29674 counting only the distinct ones).

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

Adding to 12002100210 its reverse (1200120021), we get a palindrome (13202220231).

The spelling of 12002100210 in words is "twelve billion, two million, one hundred thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 1583 3166 4749 7915 9498 14247 15830 23745 28081 28494 42741 47490 56162 71235 84243 85482 140405 142470 168486 213705 252729 280810 421215 427410 505458 758187 842430 1263645 1516374 2527290 3790935 7581870 44452223 88904446 133356669 222261115 266713338 400070007 444522230 666783345 800140014 1200210021 1333566690 2000350035 2400420042 4000700070 6001050105 12002100210