Search a number
-
+
12100020211201 = 132103169444959
BaseRepresentation
bin1011000000010100000101…
…1010000000111000000001
31120211202021012202021121011
42300011001122000320001
53041221320133224301
641422401134200521
72356124531536546
oct260050132007001
946752235667534
1012100020211201
113945653a6497a
121435094353141
1369a047457900
142db9035c0bcd
1515eb38ceda51
hexb0141680e01

12100020211201 has 12 divisors (see below), whose sum is σ = 13115097365760. Its totient is φ = 11158415851440.

The previous prime is 12100020211159. The next prime is 12100020211211. The reversal of 12100020211201 is 10211202000121.

It is not a de Polignac number, because 12100020211201 - 213 = 12100020203009 is a prime.

It is a super-2 number, since 2×121000202112012 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (12100020211211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34548241 + ... + 34896718.

It is an arithmetic number, because the mean of its divisors is an integer number (1092924780480).

Almost surely, 212100020211201 is an apocalyptic number.

It is an amenable number.

12100020211201 is a deficient number, since it is larger than the sum of its proper divisors (1015077154559).

12100020211201 is a wasteful number, since it uses less digits than its factorization.

12100020211201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69446016 (or 69446003 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12100020211201 its reverse (10211202000121), we get a palindrome (22311222211322).

The spelling of 12100020211201 in words is "twelve trillion, one hundred billion, twenty million, two hundred eleven thousand, two hundred one".

Divisors: 1 13 169 1031 13403 174239 69444959 902784467 11736198071 71597752729 930770785477 12100020211201