Search a number
-
+
131023502454 = 231337154329423
BaseRepresentation
bin111101000000110011…
…0111111110001110110
3110112012020211120001010
41322001212333301312
54121314004034304
6140105200213050
712315612252345
oct1720146776166
9415166746033
10131023502454
1150626395729
122148760a186
13c480c503a0
1464ad3b3b5c
15361cb38789
hex1e819bfc76

131023502454 has 64 divisors (see below), whose sum is σ = 290029307904. Its totient is φ = 39198577536.

The previous prime is 131023502419. The next prime is 131023502479. The reversal of 131023502454 is 454205320131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4438387 + ... + 4467809.

It is an arithmetic number, because the mean of its divisors is an integer number (4531707936).

Almost surely, 2131023502454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131023502454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145014653952).

131023502454 is an abundant number, since it is smaller than the sum of its proper divisors (159005805450).

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

131023502454 is a wasteful number, since it uses less digits than its factorization.

131023502454 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31021.

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 131023502454 its reverse (454205320131), we get a palindrome (585228822585).

The spelling of 131023502454 in words is "one hundred thirty-one billion, twenty-three million, five hundred two thousand, four hundred fifty-four".

Divisors: 1 2 3 6 13 26 37 39 74 78 111 222 481 962 1443 1543 2886 3086 4629 9258 20059 29423 40118 57091 58846 60177 88269 114182 120354 171273 176538 342546 382499 742183 764998 1088651 1147497 1484366 2177302 2226549 2294994 3265953 4453098 6531906 14152463 28304926 42457389 45399689 84914778 90799378 136199067 272398134 590195957 1180391914 1679788493 1770587871 3359576986 3541175742 5039365479 10078730958 21837250409 43674500818 65511751227 131023502454