Search a number
-
+
131223432 = 23321125913
BaseRepresentation
bin1111101001001…
…00111110001000
3100010220211201010
413310210332020
5232043122212
621004323520
73152244414
oct764447610
9303824633
10131223432
116808811a
1237b435a0
1321256602
14135dbd44
15b7c103c
hex7d24f88

131223432 has 32 divisors (see below), whose sum is σ = 329626080. Its totient is φ = 43532160.

The previous prime is 131223427. The next prime is 131223439. The reversal of 131223432 is 234322131.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 131223399 and 131223408.

It is not an unprimeable number, because it can be changed into a prime (131223439) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7893 + ... + 18020.

It is an arithmetic number, because the mean of its divisors is an integer number (10300815).

Almost surely, 2131223432 is an apocalyptic number.

131223432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131223432 is an abundant number, since it is smaller than the sum of its proper divisors (198402648).

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

131223432 is a wasteful number, since it uses less digits than its factorization.

131223432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26133 (or 26129 counting only the distinct ones).

The product of its digits is 864, while the sum is 21.

The square root of 131223432 is about 11455.2796561236. The cubic root of 131223432 is about 508.1638857844.

Adding to 131223432 its reverse (234322131), we get a palindrome (365545563).

The spelling of 131223432 in words is "one hundred thirty-one million, two hundred twenty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 211 422 633 844 1266 1688 2532 5064 25913 51826 77739 103652 155478 207304 310956 621912 5467643 10935286 16402929 21870572 32805858 43741144 65611716 131223432