Search a number
-
+
12201022100201 = 113126118921271
BaseRepresentation
bin1011000110001100010110…
…0101101001001011101001
31121012101222012121212011212
42301203011211221023221
53044400143124201301
641541023331202505
72366331462454334
oct261430545511351
947171865555155
1012201022100201
113984473994010
121450781746435
136a67226b627c
1430276572161b
1516259ae8e4bb
hexb18c59692e9

12201022100201 has 24 divisors (see below), whose sum is σ = 13978884383424. Its totient is φ = 10558068660000.

The previous prime is 12201022100167. The next prime is 12201022100219. The reversal of 12201022100201 is 10200122010221.

It is a de Polignac number, because none of the positive numbers 2k-12201022100201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12201022100231) 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, 8815805 + ... + 10105466.

It is an arithmetic number, because the mean of its divisors is an integer number (582453515976).

Almost surely, 212201022100201 is an apocalyptic number.

12201022100201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12201022100201 is a deficient number, since it is larger than the sum of its proper divisors (1777862283223).

12201022100201 is a wasteful number, since it uses less digits than its factorization.

12201022100201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18921405 (or 18921374 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12201022100201 its reverse (10200122010221), we get a palindrome (22401144110422).

The spelling of 12201022100201 in words is "twelve trillion, two hundred one billion, twenty-two million, one hundred thousand, two hundred one".

Divisors: 1 11 31 61 341 671 961 1891 10571 20801 58621 644831 18921271 208133981 586559401 1154197531 6452153411 12696172841 18183341431 35780123461 200016755741 393581358071 1109183827291 12201022100201