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12102211220013 = 3231285115214697
BaseRepresentation
bin1011000000011100010000…
…0000000011001000101101
31120211221220220112001122200
42300013010000003020231
53041240312033020023
641423402403132113
72356233035030415
oct260070400031055
946757826461580
1012102211220013
113946578803262
1214355a6074039
1369a30635b925
142dba7059b645
1515ec16341743
hexb01c400322d

12102211220013 has 24 divisors (see below), whose sum is σ = 18051204577536. Its totient is φ = 7805139048000.

The previous prime is 12102211220009. The next prime is 12102211220051. The reversal of 12102211220013 is 31002211220121.

12102211220013 is a `hidden beast` number, since 1 + 210 + 221 + 1 + 220 + 0 + 13 = 666.

It is not a de Polignac number, because 12102211220013 - 22 = 12102211220009 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12102211220063) 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, 6811920 + ... + 8402777.

It is an arithmetic number, because the mean of its divisors is an integer number (752133524064).

Almost surely, 212102211220013 is an apocalyptic number.

It is an amenable number.

12102211220013 is a deficient number, since it is larger than the sum of its proper divisors (5948993357523).

12102211220013 is a wasteful number, since it uses less digits than its factorization.

12102211220013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15217585 (or 15217582 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12102211220013 its reverse (31002211220121), we get a palindrome (43104422440134).

The spelling of 12102211220013 in words is "twelve trillion, one hundred two billion, two hundred eleven million, two hundred twenty thousand, thirteen".

Divisors: 1 3 9 31 93 279 2851 8553 25659 88381 265143 795429 15214697 45644091 136932273 471655607 1414966821 4244900463 43377101147 130131303441 390393910323 1344690135557 4034070406671 12102211220013