Search a number
-
+
131505172410 = 23510143401047
BaseRepresentation
bin111101001111001010…
…0011010111110111010
3110120102211011221000010
41322132110122332322
54123310311004120
6140225044122350
712333551344053
oct1723624327672
9416384157003
10131505172410
1150853272477
12215a09963b6
13c5299881b1
14651735772a
15364a0807e0
hex1e9e51afba

131505172410 has 32 divisors (see below), whose sum is σ = 318737296512. Its totient is φ = 34720836800.

The previous prime is 131505172387. The next prime is 131505172411. The reversal of 131505172410 is 14271505131.

It is a super-2 number, since 2×1315051724102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (131505172411) 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 15 ways as a sum of consecutive naturals, for example, 21697494 + ... + 21703553.

It is an arithmetic number, because the mean of its divisors is an integer number (9960540516).

Almost surely, 2131505172410 is an apocalyptic number.

131505172410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131505172410 is an abundant number, since it is smaller than the sum of its proper divisors (187232124102).

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

131505172410 is a wasteful number, since it uses less digits than its factorization.

131505172410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43401158.

The product of its (nonzero) digits is 4200, while the sum is 30.

Adding to 131505172410 its reverse (14271505131), we get a palindrome (145776677541).

The spelling of 131505172410 in words is "one hundred thirty-one billion, five hundred five million, one hundred seventy-two thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 30 101 202 303 505 606 1010 1515 3030 43401047 86802094 130203141 217005235 260406282 434010470 651015705 1302031410 4383505747 8767011494 13150517241 21917528735 26301034482 43835057470 65752586205 131505172410