Search a number
-
+
13122420131214 = 2321742883725919
BaseRepresentation
bin1011111011110100110100…
…1100001100010110001110
31201110111021000120112200100
42332331031030030112032
53204444204023144324
643524205004511530
72523030542504052
oct276751514142616
951414230515610
1013122420131214
1141aa207077259
12157b267b4b5a6
13742592389494
143351b294bc62
1517b526d3d4c9
hexbef4d30c58e

13122420131214 has 24 divisors (see below), whose sum is σ = 30104375595840. Its totient is φ = 4116837688128.

The previous prime is 13122420131203. The next prime is 13122420131279. The reversal of 13122420131214 is 41213102422131.

13122420131214 is a `hidden beast` number, since 1 + 3 + 1 + 22 + 420 + 1 + 3 + 1 + 214 = 666.

It is a super-2 number, since 2×131224201312142 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21441862654 + ... + 21441863265.

It is an arithmetic number, because the mean of its divisors is an integer number (1254348983160).

Almost surely, 213122420131214 is an apocalyptic number.

13122420131214 is an abundant number, since it is smaller than the sum of its proper divisors (16981955464626).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13122420131214 is a wasteful number, since it uses less digits than its factorization.

13122420131214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42883725944 (or 42883725941 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 13122420131214 its reverse (41213102422131), we get a palindrome (54335522553345).

The spelling of 13122420131214 in words is "thirteen trillion, one hundred twenty-two billion, four hundred twenty million, one hundred thirty-one thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 42883725919 85767451838 128651177757 257302355514 385953533271 729023340623 771907066542 1458046681246 2187070021869 4374140043738 6561210065607 13122420131214