Search a number
-
+
131023400 = 2352719227
BaseRepresentation
bin1111100111101…
…00001000101000
3100010112200022112
413303310020220
5232020222100
621000141452
73150452264
oct763641050
9303480275
10131023400
1167a60902
1237a67888
13211b6551
14135890a4
15b781b35
hex7cf4228

131023400 has 48 divisors (see below), whose sum is σ = 308953440. Its totient is φ = 51665600.

The previous prime is 131023381. The next prime is 131023423. The reversal of 131023400 is 4320131.

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 11 ways as a sum of consecutive naturals, for example, 9587 + ... + 18813.

It is an arithmetic number, because the mean of its divisors is an integer number (6436530).

Almost surely, 2131023400 is an apocalyptic number.

131023400 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 131023400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154476720).

131023400 is an abundant number, since it is smaller than the sum of its proper divisors (177930040).

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

131023400 is a wasteful number, since it uses less digits than its factorization.

131023400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9314 (or 9305 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 131023400 is about 11446.5453303606. The cubic root of 131023400 is about 507.9055459167.

Adding to 131023400 its reverse (4320131), we get a palindrome (135343531).

The spelling of 131023400 in words is "one hundred thirty-one million, twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 71 100 142 200 284 355 568 710 1420 1775 2840 3550 7100 9227 14200 18454 36908 46135 73816 92270 184540 230675 369080 461350 655117 922700 1310234 1845400 2620468 3275585 5240936 6551170 13102340 16377925 26204680 32755850 65511700 131023400