Search a number
-
+
123013012401351 = 322316332957110623
BaseRepresentation
bin11011111110000100110010…
…111010000010110011000111
3121010112221002100011210022100
4123332010302322002303013
5112110421122133320401
61113343221525203143
734624253060056362
oct3376046272026307
9533487070153270
10123013012401351
1136217586615696
12119688b4b604b3
135384100a81137
142253c0c1dd0d9
15e34cb644ab86
hex6fe132e82cc7

123013012401351 has 48 divisors (see below), whose sum is σ = 186555754285056. Its totient is φ = 77958764186688.

The previous prime is 123013012401341. The next prime is 123013012401437. The reversal of 123013012401351 is 153104210310321.

123013012401351 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 1 + 301 + 2 + 4 + 0 + 1 + 351 = 666.

It is not a de Polignac number, because 123013012401351 - 25 = 123013012401319 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123013012401341) 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, 1111946826 + ... + 1112057448.

It is an arithmetic number, because the mean of its divisors is an integer number (3886578214272).

Almost surely, 2123013012401351 is an apocalyptic number.

123013012401351 is a deficient number, since it is larger than the sum of its proper divisors (63542741883705).

123013012401351 is a wasteful number, since it uses less digits than its factorization.

123013012401351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143772 (or 143769 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 123013012401351 its reverse (153104210310321), we get a palindrome (276117222711672).

The spelling of 123013012401351 in words is "one hundred twenty-three trillion, thirteen billion, twelve million, four hundred one thousand, three hundred fifty-one".

Divisors: 1 3 9 23 69 163 207 489 1467 3749 11247 32957 33741 98871 110623 296613 331869 758011 995607 2274033 2544329 5371991 6822099 7632987 16115973 18031549 22898961 48347919 54094647 123555793 162283941 370667379 414725627 1112002137 1244176881 3645802211 3732530643 10937406633 32812219899 83853450853 251560352559 594265760393 754681057677 1782797281179 5348391843537 13668112489039 41004337467117 123013012401351