Search a number
-
+
131223000 = 23353173183
BaseRepresentation
bin1111101001001…
…00110111011000
3100010220211010010
413310210313120
5232043114000
621004321520
73152243226
oct764446730
9303824103
10131223000
1168087867
1237b432a0
132125635c
14135dbb16
15b7c0d50
hex7d24dd8

131223000 has 256 divisors, whose sum is σ = 452874240. Its totient is φ = 31488000.

The previous prime is 131222989. The next prime is 131223011. The reversal of 131223000 is 322131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (131222989) and next prime (131223011).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1580959 + ... + 1581041.

It is an arithmetic number, because the mean of its divisors is an integer number (1769040).

Almost surely, 2131223000 is an apocalyptic number.

131223000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226437120).

131223000 is an abundant number, since it is smaller than the sum of its proper divisors (321651240).

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

131223000 is a wasteful number, since it uses less digits than its factorization.

131223000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 131223000 is about 11455.2608001739. The cubic root of 131223000 is about 508.1633281425.

Adding to 131223000 its reverse (322131), we get a palindrome (131545131).

The spelling of 131223000 in words is "one hundred thirty-one million, two hundred twenty-three thousand".