Search a number
-
+
13123023330132 = 2233196395235541
BaseRepresentation
bin1011111011110111000100…
…1001001101101101010100
31201110112211001121020001000
42332331301021031231110
53210001422433031012
643524344513303300
72523051515555352
oct276756111155524
951415731536030
1013123023330132
1141aa49660a561
12157b3b5b64b30
1374265a335111
1433522cac87d2
1517b55ec8dddc
hexbef7124db54

13123023330132 has 48 divisors (see below), whose sum is σ = 35813319035200. Its totient is φ = 4144112629920.

The previous prime is 13123023330097. The next prime is 13123023330133. The reversal of 13123023330132 is 23103332032131.

13123023330132 is a `hidden beast` number, since 1 + 3 + 12 + 302 + 3 + 330 + 13 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13123023330096 and 13123023330105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13123023330133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3197615719 + ... + 3197619822.

Almost surely, 213123023330132 is an apocalyptic number.

13123023330132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13123023330132 is an abundant number, since it is smaller than the sum of its proper divisors (22690295705068).

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

13123023330132 is a wasteful number, since it uses less digits than its factorization.

13123023330132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6395235573 (or 6395235565 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 13123023330132 its reverse (23103332032131), we get a palindrome (36226355362263).

The spelling of 13123023330132 in words is "thirteen trillion, one hundred twenty-three billion, twenty-three million, three hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 513 684 1026 2052 6395235541 12790471082 19185706623 25580942164 38371413246 57557119869 76742826492 115114239738 121509475279 172671359607 230228479476 243018950558 345342719214 364528425837 486037901116 690685438428 729056851674 1093585277511 1458113703348 2187170555022 3280755832533 4374341110044 6561511665066 13123023330132