Search a number
-
+
13101321033130 = 2511199764624481
BaseRepresentation
bin1011111010100110001110…
…0101100001010110101010
31201101110210120220022022011
42332221203211201112222
53204123001141030010
643510355213550134
72521352643231421
oct276514345412652
951343716808264
1013101321033130
1141a126a199610
121577159aa534a
137405ac088565
143341706c02b8
1517abde868a8a
hexbea639615aa

13101321033130 has 64 divisors (see below), whose sum is σ = 27359420699520. Its totient is φ = 4466844057600.

The previous prime is 13101321033127. The next prime is 13101321033139. The reversal of 13101321033130 is 3133012310131.

It is a super-2 number, since 2×131013210331302 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (13101321033139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32109511 + ... + 32514970.

It is an arithmetic number, because the mean of its divisors is an integer number (427490948430).

Almost surely, 213101321033130 is an apocalyptic number.

13101321033130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13101321033130 is an abundant number, since it is smaller than the sum of its proper divisors (14258099666390).

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

13101321033130 is a wasteful number, since it uses less digits than its factorization.

13101321033130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64624615.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 13101321033130 its reverse (3133012310131), we get a palindrome (16234333343261).

The spelling of 13101321033130 in words is "thirteen trillion, one hundred one billion, three hundred twenty-one million, thirty-three thousand, one hundred thirty".

Divisors: 1 2 5 10 11 19 22 38 55 95 97 110 190 194 209 418 485 970 1045 1067 1843 2090 2134 3686 5335 9215 10670 18430 20273 40546 101365 202730 64624481 129248962 323122405 646244810 710869291 1227865139 1421738582 2455730278 3554346455 6139325695 6268574657 7108692910 12278651390 12537149314 13506516529 27013033058 31342873285 62685746570 67532582645 68954321227 119102918483 135065165290 137908642454 238205836966 344771606135 595514592415 689543212270 1191029184830 1310132103313 2620264206626 6550660516565 13101321033130