Search a number
-
+
131122530 = 233572111753
BaseRepresentation
bin1111101000011…
…00010101100010
3100010201201022000
413310030111202
5232031410110
621002224430
73151344300
oct764142542
9303651260
10131122530
1168019330
1237ab5116
132121c6c6
14135b3270
15b7a11c0
hex7d0c562

131122530 has 384 divisors, whose sum is σ = 478690560. Its totient is φ = 25159680.

The previous prime is 131122507. The next prime is 131122559. The reversal of 131122530 is 35221131.

131122530 is a `hidden beast` number, since 13 + 1 + 122 + 530 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 2473984 + ... + 2474036.

It is an arithmetic number, because the mean of its divisors is an integer number (1246590).

Almost surely, 2131122530 is an apocalyptic number.

131122530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131122530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239345280).

131122530 is an abundant number, since it is smaller than the sum of its proper divisors (347568030).

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

131122530 is a wasteful number, since it uses less digits than its factorization.

131122530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 131122530 is about 11450.8746390833. The cubic root of 131122530 is about 508.0336044275.

Adding to 131122530 its reverse (35221131), we get a palindrome (166343661).

The spelling of 131122530 in words is "one hundred thirty-one million, one hundred twenty-two thousand, five hundred thirty".