Search a number
-
+
12100210000112 = 24131492811389431
BaseRepresentation
bin1011000000010100110010…
…1110000000000011110000
31120211202202102212120001002
42300011030232000003300
53041222212230000422
641422432034101132
72356132324655153
oct260051456000360
946752672776032
1012100210000112
113945741103113
121435127a1a7a8
1369a077878240
142db9208a5c9a
1515eb4a7dc692
hexb014cb800f0

12100210000112 has 80 divisors (see below), whose sum is σ = 25507470542400. Its totient is φ = 5527486003200.

The previous prime is 12100210000111. The next prime is 12100210000117. The reversal of 12100210000112 is 21100001200121.

It is a junction number, because it is equal to n+sod(n) for n = 12100210000093 and 12100210000102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12100210000111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8014037 + ... + 9403467.

It is an arithmetic number, because the mean of its divisors is an integer number (318843381780).

Almost surely, 212100210000112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12100210000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12753735271200).

12100210000112 is an abundant number, since it is smaller than the sum of its proper divisors (13407260542288).

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

12100210000112 is a wasteful number, since it uses less digits than its factorization.

12100210000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1389882 (or 1389876 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12100210000112 its reverse (21100001200121), we get a palindrome (33200211200233).

The spelling of 12100210000112 in words is "twelve trillion, one hundred billion, two hundred ten million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 8 13 16 26 52 104 149 208 281 298 562 596 1124 1192 1937 2248 2384 3653 3874 4496 7306 7748 14612 15496 29224 30992 41869 58448 83738 167476 334952 544297 669904 1088594 1389431 2177188 2778862 4354376 5557724 8708752 11115448 18062603 22230896 36125206 72250412 144500824 207025219 289001648 390430111 414050438 780860222 828100876 1561720444 1656201752 2691327847 3123440888 3312403504 5075591443 5382655694 6246881776 10151182886 10765311388 20302365772 21530622776 40604731544 43061245552 58174086539 81209463088 116348173078 232696346156 465392692312 756263125007 930785384624 1512526250014 3025052500028 6050105000056 12100210000112