Search a number
-
+
130911237 = 3217412509
BaseRepresentation
bin1111100110110…
…00110000000101
3100010022222110100
413303120300011
5232003124422
620553514313
73146504262
oct763306005
9303288410
10130911237
1167994606
1237a12999
1321177492
141355a269
15b75d7ac
hex7cd8c05

130911237 has 36 divisors (see below), whose sum is σ = 205622820. Its totient is φ = 79979520.

The previous prime is 130911229. The next prime is 130911241. The reversal of 130911237 is 732119031.

It can be written as a sum of positive squares in 6 ways, for example, as 7834401 + 123076836 = 2799^2 + 11094^2 .

It is not a de Polignac number, because 130911237 - 23 = 130911229 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 130911237.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130911227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 256939 + ... + 257447.

It is an arithmetic number, because the mean of its divisors is an integer number (5711745).

Almost surely, 2130911237 is an apocalyptic number.

130911237 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

130911237 is a deficient number, since it is larger than the sum of its proper divisors (74711583).

130911237 is a wasteful number, since it uses less digits than its factorization.

130911237 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 130911237 is about 11441.6448555267. The cubic root of 130911237 is about 507.7605731525.

The spelling of 130911237 in words is "one hundred thirty million, nine hundred eleven thousand, two hundred thirty-seven".

Divisors: 1 3 9 17 41 51 123 153 369 509 697 1527 1681 2091 4581 5043 6273 8653 15129 20869 25959 28577 62607 77877 85731 187821 257193 354773 855629 1064319 2566887 3192957 7700661 14545693 43637079 130911237