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12102112310301 = 331347733594733
BaseRepresentation
bin1011000000011011111000…
…0110101111010000011101
31120211221200000101221001000
42300012332012233100131
53041240111222412201
641423344511140513
72356230424226046
oct260067606572035
946757600357030
1012102112310301
1139465279969a2
121435578b14739
1369a2bba0a480
142dba613b18cd
1515ec0c804d86
hexb01be1af41d

12102112310301 has 32 divisors (see below), whose sum is σ = 19719026449920. Its totient is φ = 7288997257152.

The previous prime is 12102112310273. The next prime is 12102112310339. The reversal of 12102112310301 is 10301321120121.

12102112310301 is a `hidden beast` number, since 1 + 21 + 0 + 21 + 12 + 310 + 301 = 666.

12102112310301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12102112310301 - 26 = 12102112310237 is a prime.

It is a super-2 number, since 2×121021123103012 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12102112310341) 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, 366780870 + ... + 366813863.

It is an arithmetic number, because the mean of its divisors is an integer number (616219576560).

Almost surely, 212102112310301 is an apocalyptic number.

It is an amenable number.

12102112310301 is a deficient number, since it is larger than the sum of its proper divisors (7616914139619).

12102112310301 is a wasteful number, since it uses less digits than its factorization.

12102112310301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733594802 (or 733594796 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 12102112310301 its reverse (10301321120121), we get a palindrome (22403433430422).

The spelling of 12102112310301 in words is "twelve trillion, one hundred two billion, one hundred twelve million, three hundred ten thousand, three hundred one".

Divisors: 1 3 9 13 27 39 47 117 141 351 423 611 1269 1833 5499 16497 733594733 2200784199 6602352597 9536731529 19807057791 28610194587 34478952451 85830583761 103436857353 257491751283 310310572059 448226381863 930931716177 1344679145589 4034037436767 12102112310301