Search a number
-
+
12100212332 = 22131722216163
BaseRepresentation
bin10110100010011101…
…01001011001101100
31011020021200110211022
423101032221121230
5144240123243312
65320405313312
7605566051655
oct132116513154
934207613738
1012100212332
11514a28868a
122418405838
1311aab50b70
1482b06652c
154ac468172
hex2d13a966c

12100212332 has 48 divisors (see below), whose sum is σ = 24160463712. Its totient is φ = 5252981760.

The previous prime is 12100212331. The next prime is 12100212343. The reversal of 12100212332 is 23321200121.

12100212332 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 (17).

It is a self number, because there is not a number n which added to its sum of digits gives 12100212332.

It is not an unprimeable number, because it can be changed into a prime (12100212331) 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, 1960283 + ... + 1966445.

It is an arithmetic number, because the mean of its divisors is an integer number (503342994).

Almost surely, 212100212332 is an apocalyptic number.

It is an amenable number.

12100212332 is a deficient number, since it is larger than the sum of its proper divisors (12060251380).

12100212332 is a wasteful number, since it uses less digits than its factorization.

12100212332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8418 (or 8416 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 12100212332 its reverse (23321200121), we get a palindrome (35421412453).

The spelling of 12100212332 in words is "twelve billion, one hundred million, two hundred twelve thousand, three hundred thirty-two".

Divisors: 1 2 4 13 17 26 34 52 68 221 442 884 2221 4442 6163 8884 12326 24652 28873 37757 57746 75514 80119 104771 115492 151028 160238 209542 320476 419084 490841 981682 1362023 1963364 2724046 5448092 13688023 27376046 54752092 177944299 232696391 355888598 465392782 711777196 930785564 3025053083 6050106166 12100212332