Search a number
-
+
12100100000211 = 322385768208389
BaseRepresentation
bin1011000000010100011000…
…1010011000100111010011
31120211202110202212222112200
42300011012022120213103
53041222001100001321
641422413104254243
72356126520663556
oct260050612304723
946752422788480
1012100100000211
113945695001603
1214350b7011383
1369a05ab42c42
142db91003069d
1515eb40d0ed26
hexb01462989d3

12100100000211 has 24 divisors (see below), whose sum is σ = 18259113169440. Its totient is φ = 7707002176896.

The previous prime is 12100100000207. The next prime is 12100100000213. The reversal of 12100100000211 is 11200000100121.

It is a happy number.

It is not a de Polignac number, because 12100100000211 - 22 = 12100100000207 is a prime.

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 = 12100100000193 and 12100100000202.

It is not an unprimeable number, because it can be changed into a prime (12100100000213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33926796 + ... + 34281593.

It is an arithmetic number, because the mean of its divisors is an integer number (760796382060).

Almost surely, 212100100000211 is an apocalyptic number.

12100100000211 is a deficient number, since it is larger than the sum of its proper divisors (6159013169229).

12100100000211 is a wasteful number, since it uses less digits than its factorization.

12100100000211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68209275 (or 68209272 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12100100000211 its reverse (11200000100121), we get a palindrome (23300100100332).

The spelling of 12100100000211 in words is "twelve trillion, one hundred billion, one hundred million, two hundred eleven", and thus it is an aban number.

Divisors: 1 3 9 23 69 207 857 2571 7713 19711 59133 177399 68208389 204625167 613875501 1568792947 4706378841 14119136523 58454589373 175363768119 526091304357 1344455555579 4033366666737 12100100000211