Search a number
-
+
12100012210 = 25111329328879
BaseRepresentation
bin10110100010011011…
…11000100010110010
31011020021022022022101
423101031320202302
5144240100342320
65320401131014
7605564256346
oct132115704262
934207268271
1012100012210
11514a1612a0
122418329a6a
1311aaab0a50
1482b013626
154ac428c0a
hex2d13788b2

12100012210 has 64 divisors (see below), whose sum is σ = 25675937280. Its totient is φ = 4047540480.

The previous prime is 12100012207. The next prime is 12100012217. The reversal of 12100012210 is 1221000121.

It is a Harshad number since it is a multiple of its sum of digits (10).

12100012210 is a modest number, since divided by 12210 gives 12100 as remainder.

It is not an unprimeable number, because it can be changed into a prime (12100012217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 404551 + ... + 433429.

It is an arithmetic number, because the mean of its divisors is an integer number (401186520).

Almost surely, 212100012210 is an apocalyptic number.

12100012210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12100012210 is an abundant number, since it is smaller than the sum of its proper divisors (13575925070).

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

12100012210 is a wasteful number, since it uses less digits than its factorization.

12100012210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29203.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12100012210 its reverse (1221000121), we get a palindrome (13321012331).

The spelling of 12100012210 in words is "twelve billion, one hundred million, twelve thousand, two hundred ten".

Divisors: 1 2 5 10 11 13 22 26 55 65 110 130 143 286 293 586 715 1430 1465 2930 3223 3809 6446 7618 16115 19045 28879 32230 38090 41899 57758 83798 144395 209495 288790 317669 375427 418990 635338 750854 1588345 1877135 3176690 3754270 4129697 8259394 8461547 16923094 20648485 41296970 42307735 84615470 93077017 110000111 186154034 220000222 465385085 550000555 930770170 1100001110 1210001221 2420002442 6050006105 12100012210