Search a number
-
+
131623310 = 25721320663
BaseRepresentation
bin1111101100001…
…10100110001110
3100011200011020102
413312012212032
5232143421220
621021051102
73155531300
oct766064616
9304604212
10131623310
11683305a5
12380b6a92
1321366620
14136a3970
15b84e775
hex7d8698e

131623310 has 48 divisors (see below), whose sum is σ = 296817696. Its totient is φ = 41654592.

The previous prime is 131623291. The next prime is 131623313. The reversal of 131623310 is 13326131.

It is a happy number.

It is a super-2 number, since 2×1316233102 = 34649391470712200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131623313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3962 + ... + 16701.

It is an arithmetic number, because the mean of its divisors is an integer number (6183702).

Almost surely, 2131623310 is an apocalyptic number.

131623310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131623310 is an abundant number, since it is smaller than the sum of its proper divisors (165194386).

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

131623310 is a wasteful number, since it uses less digits than its factorization.

131623310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20697 (or 20690 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 131623310 is about 11472.7202528433. The cubic root of 131623310 is about 508.6795393688.

Adding to 131623310 its reverse (13326131), we get a palindrome (144949441).

The spelling of 131623310 in words is "one hundred thirty-one million, six hundred twenty-three thousand, three hundred ten".

Divisors: 1 2 5 7 10 13 14 26 35 49 65 70 91 98 130 182 245 455 490 637 910 1274 3185 6370 20663 41326 103315 144641 206630 268619 289282 537238 723205 1012487 1343095 1446410 1880333 2024974 2686190 3760666 5062435 9401665 10124870 13162331 18803330 26324662 65811655 131623310