Search a number
-
+
12220010021011 = 1317247109634901
BaseRepresentation
bin1011000111010011000101…
…0110110100000010010011
31121021012222111202011210011
42301310301112310002103
53100203040031133021
641553443424215351
72400603145231132
oct261646126640223
947235874664704
1012220010021011
113991528099a51
1214543a076a557
136a845a4b4980
14303647433919
15162d0ce3ede1
hexb1d315b4093

12220010021011 has 48 divisors (see below), whose sum is σ = 14408110442880. Its totient is φ = 10295253964800.

The previous prime is 12220010021003. The next prime is 12220010021027. The reversal of 12220010021011 is 11012001002221.

It is not a de Polignac number, because 12220010021011 - 23 = 12220010021003 is a prime.

It is a super-2 number, since 2×122200100210112 (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 a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12220010020982 and 12220010021000.

It is not an unprimeable number, because it can be changed into a prime (12220010021711) 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, 18929661 + ... + 19564561.

It is an arithmetic number, because the mean of its divisors is an integer number (300168967560).

Almost surely, 212220010021011 is an apocalyptic number.

12220010021011 is a deficient number, since it is larger than the sum of its proper divisors (2188100421869).

12220010021011 is a wasteful number, since it uses less digits than its factorization.

12220010021011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635104 (or 635087 counting only the distinct ones).

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

Adding to 12220010021011 its reverse (11012001002221), we get a palindrome (23232011023232).

The spelling of 12220010021011 in words is "twelve trillion, two hundred twenty billion, ten million, twenty-one thousand, eleven".

Divisors: 1 13 17 47 109 221 289 611 799 1417 1853 3757 5123 10387 13583 24089 31501 66599 87091 176579 409513 634901 1132183 1480547 8253713 10793317 19247111 29840347 69204209 140313121 183486389 387924511 507285899 899654717 1176471553 2385323057 3252597823 6594716687 8623860283 15294130189 20000016401 42283771699 55294162991 112110183679 260000213213 718824118883 940000770847 12220010021011