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13120223302131 = 3112365926230951
BaseRepresentation
bin1011111011101100101000…
…1111111101000111110011
31201110021120220212001201020
42332323022033331013303
53204430204131132011
643523203011110523
72522622235662411
oct276731217750763
951407526761636
1013120223302131
1141a928a013030
12157a9542a2443
137423021c820a
14335044c982b1
1517b44904b006
hexbeeca3fd1f3

13120223302131 has 32 divisors (see below), whose sum is σ = 19943917424640. Its totient is φ = 7594384644000.

The previous prime is 13120223302129. The next prime is 13120223302159. The reversal of 13120223302131 is 13120332202131.

It is not a de Polignac number, because 13120223302131 - 21 = 13120223302129 is a prime.

It is a super-2 number, since 2×131202233021312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13120223302231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12615295 + ... + 13615656.

It is an arithmetic number, because the mean of its divisors is an integer number (623247419520).

Almost surely, 213120223302131 is an apocalyptic number.

13120223302131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13120223302131 is a deficient number, since it is larger than the sum of its proper divisors (6823694122509).

13120223302131 is a wasteful number, since it uses less digits than its factorization.

13120223302131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26231647.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 13120223302131 its reverse (13120332202131), we get a palindrome (26240555504262).

The spelling of 13120223302131 in words is "thirteen trillion, one hundred twenty billion, two hundred twenty-three million, three hundred two thousand, one hundred thirty-one".

Divisors: 1 3 11 23 33 69 253 659 759 1977 7249 15157 21747 45471 166727 500181 26230951 78692853 288540461 603311873 865621383 1809935619 6636430603 17286196709 19909291809 51858590127 190148163799 397582524307 570444491397 1192747572921 4373407767377 13120223302131