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12100203210 = 2355950313591
BaseRepresentation
bin10110100010011101…
…00111001011001010
31011020021200000022110
423101032213023022
5144240123000320
65320405203150
7605566013244
oct132116471312
934207600273
1012100203210
11514a281847
1224184004b6
1311aab49974
1482b063094
154ac4655e0
hex2d13a72ca

12100203210 has 64 divisors (see below), whose sum is σ = 29593589760. Its totient is φ = 3165491520.

The previous prime is 12100203209. The next prime is 12100203217. The reversal of 12100203210 is 1230200121.

12100203210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12100203217) 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, 883515 + ... + 897105.

It is an arithmetic number, because the mean of its divisors is an integer number (462399840).

Almost surely, 212100203210 is an apocalyptic number.

12100203210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12100203210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14796794880).

12100203210 is an abundant number, since it is smaller than the sum of its proper divisors (17493386550).

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

12100203210 is a wasteful number, since it uses less digits than its factorization.

12100203210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14163.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 12100203210 its reverse (1230200121), we get a palindrome (13330403331).

The spelling of 12100203210 in words is "twelve billion, one hundred million, two hundred three thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 59 118 177 295 354 503 590 885 1006 1509 1770 2515 3018 5030 7545 13591 15090 27182 29677 40773 59354 67955 81546 89031 135910 148385 178062 203865 296770 407730 445155 801869 890310 1603738 2405607 4009345 4811214 6836273 8018690 12028035 13672546 20508819 24056070 34181365 41017638 68362730 102544095 205088190 403340107 806680214 1210020321 2016700535 2420040642 4033401070 6050101605 12100203210