Search a number
-
+
12102022101 = 31317210110631
BaseRepresentation
bin10110100010101011…
…00011001111010101
31011020102002102100210
423101111203033111
5144241104201401
65320512200033
7605620330161
oct132125431725
934212072323
1012102022101
115150304364
122418b39019
1311ab335830
1482b3b7ca1
154ac6c44d6
hex2d15633d5

12102022101 has 48 divisors (see below), whose sum is σ = 18644105088. Its totient is φ = 6939264000.

The previous prime is 12102022081. The next prime is 12102022109. The reversal of 12102022101 is 10122020121.

It is not a de Polignac number, because 12102022101 - 27 = 12102021973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12102022109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1133056 + ... + 1143686.

It is an arithmetic number, because the mean of its divisors is an integer number (388418856).

Almost surely, 212102022101 is an apocalyptic number.

It is an amenable number.

12102022101 is a deficient number, since it is larger than the sum of its proper divisors (6542082987).

12102022101 is a wasteful number, since it uses less digits than its factorization.

12102022101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10782 (or 10765 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12102022101 its reverse (10122020121), we get a palindrome (22224042222).

The spelling of 12102022101 in words is "twelve billion, one hundred two million, twenty-two thousand, one hundred one".

Divisors: 1 3 13 17 39 51 101 221 289 303 663 867 1313 1717 3757 3939 5151 10631 11271 22321 29189 31893 66963 87567 138203 180727 379457 414609 542181 1073731 1138371 2349451 3072359 3221193 7048353 9217077 13958503 18253427 39940667 41875509 54760281 119822001 237294551 310308259 711883653 930924777 4034007367 12102022101