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131244216 = 233172711187
BaseRepresentation
bin1111101001010…
…10000010111000
3100010221220012220
413310222002320
5232044303331
621005004040
73152362125
oct764520270
9303856186
10131244216
11680a17a4
1237b53620
1321262bcc
141360574c
15b7c7296
hex7d2a0b8

131244216 has 64 divisors (see below), whose sum is σ = 348986880. Its totient is φ = 40988160.

The previous prime is 131244209. The next prime is 131244247. The reversal of 131244216 is 612442131.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

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 15 ways as a sum of consecutive naturals, for example, 109975 + ... + 111161.

It is an arithmetic number, because the mean of its divisors is an integer number (5452920).

Almost surely, 2131244216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131244216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174493440).

131244216 is an abundant number, since it is smaller than the sum of its proper divisors (217742664).

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

131244216 is a wasteful number, since it uses less digits than its factorization.

131244216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1484 (or 1480 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 131244216 is about 11456.1868001530. The cubic root of 131244216 is about 508.1907131085.

Adding to 131244216 its reverse (612442131), we get a palindrome (743686347).

The spelling of 131244216 in words is "one hundred thirty-one million, two hundred forty-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 271 408 542 813 1084 1187 1626 2168 2374 3252 3561 4607 4748 6504 7122 9214 9496 13821 14244 18428 20179 27642 28488 36856 40358 55284 60537 80716 110568 121074 161432 242148 321677 484296 643354 965031 1286708 1930062 2573416 3860124 5468509 7720248 10937018 16405527 21874036 32811054 43748072 65622108 131244216