Search a number
-
+
103124434413 = 371121313123831
BaseRepresentation
bin110000000001010110…
…0011111110111101101
3100212011220211001111210
41200002230133313231
53142144323400123
6115212534305033
710310343141510
oct1400254376755
9325156731453
10103124434413
113a80a066a00
1217ba01b8179
139955c113c0
144dc3db8d77
152a386ace93
hex1802b1fded

103124434413 has 96 divisors (see below), whose sum is σ = 187440777216. Its totient is φ = 49070736000.

The previous prime is 103124434397. The next prime is 103124434453. The reversal of 103124434413 is 314434421301.

It is not a de Polignac number, because 103124434413 - 24 = 103124434397 is a prime.

It is a super-2 number, since 2×1031244344132 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103124434453) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4315408 + ... + 4339238.

It is an arithmetic number, because the mean of its divisors is an integer number (1952508096).

Almost surely, 2103124434413 is an apocalyptic number.

103124434413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

103124434413 is a deficient number, since it is larger than the sum of its proper divisors (84316342803).

103124434413 is a wasteful number, since it uses less digits than its factorization.

103124434413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24007 (or 23996 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 103124434413 its reverse (314434421301), we get a palindrome (417558855714).

The spelling of 103124434413 in words is "one hundred three billion, one hundred twenty-four million, four hundred thirty-four thousand, four hundred thirteen".

Divisors: 1 3 7 11 13 21 33 39 77 91 121 131 143 231 273 363 393 429 847 917 1001 1441 1573 1703 2541 2751 3003 4323 4719 5109 10087 11011 11921 15851 18733 23831 30261 33033 35763 47553 56199 71493 110957 131131 166817 206063 262141 309803 332871 393393 500451 618189 786423 929409 1442441 1834987 2168621 2883551 3121861 3407833 4327323 5504961 6505863 8650653 9365583 10223499 20184857 21853027 23854831 34340471 37486163 40584193 60554571 65559081 71564493 103021413 112458489 121752579 240383297 262403141 284089351 377745181 446426123 721149891 787209423 852268053 1133235543 1339278369 2644216267 3124982861 4910687353 7932648801 9374948583 14732062059 34374811471 103124434413