Search a number
-
+
131001314015 = 51113232346349
BaseRepresentation
bin111101000000001001…
…0010110101011011111
3110112010201002021020002
41322000102112223133
54121242314022030
6140103044444515
712315222540125
oct1720022265337
9415121067202
10131001314015
1150614910180
12214800a973b
13c479481b30
1464aa479915
15361ac04245
hex1e80496adf

131001314015 has 48 divisors (see below), whose sum is σ = 193063802400. Its totient is φ = 84121002240.

The previous prime is 131001314011. The next prime is 131001314023. The reversal of 131001314015 is 510413100131.

It is not a de Polignac number, because 131001314015 - 22 = 131001314011 is a prime.

It is a super-2 number, since 2×1310013140152 (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 (131001314011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 205061 + ... + 551409.

It is an arithmetic number, because the mean of its divisors is an integer number (4022162550).

Almost surely, 2131001314015 is an apocalyptic number.

131001314015 is a deficient number, since it is larger than the sum of its proper divisors (62062488385).

131001314015 is a wasteful number, since it uses less digits than its factorization.

131001314015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346424 (or 346401 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

Adding to 131001314015 its reverse (510413100131), we get a palindrome (641414414146).

The spelling of 131001314015 in words is "one hundred thirty-one billion, one million, three hundred fourteen thousand, fifteen".

Divisors: 1 5 11 13 23 55 65 115 143 253 299 529 715 1265 1495 2645 3289 5819 6877 16445 29095 34385 75647 346349 378235 1731745 3809839 4502537 7966027 19049195 22512685 39830135 49527907 87626297 103558351 183218621 247639535 438131485 517791755 916093105 1139141861 2015404831 2381842073 5695709305 10077024155 11909210365 26200262803 131001314015