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131217240 = 233571121291
BaseRepresentation
bin1111101001000…
…11011101011000
3100010220112012210
413310203131120
5232042422430
621004235120
73152220360
oct764433530
9303815183
10131217240
1168083500
1237b3baa0
132125384b
14135d99a0
15b7be2b0
hex7d23758

131217240 has 192 divisors, whose sum is σ = 494887680. Its totient is φ = 27244800.

The previous prime is 131217227. The next prime is 131217253. The reversal of 131217240 is 42712131.

It is an interprime number because it is at equal distance from previous prime (131217227) and next prime (131217253).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100995 + ... + 102285.

It is an arithmetic number, because the mean of its divisors is an integer number (2577540).

Almost surely, 2131217240 is an apocalyptic number.

131217240 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 131217240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247443840).

131217240 is an abundant number, since it is smaller than the sum of its proper divisors (363670440).

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

131217240 is a wasteful number, since it uses less digits than its factorization.

131217240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 131217240 is about 11455.0093845444. The cubic root of 131217240 is about 508.1558928006.

Adding to 131217240 its reverse (42712131), we get a palindrome (173929371).

The spelling of 131217240 in words is "one hundred thirty-one million, two hundred seventeen thousand, two hundred forty".