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131212320 = 2535273359
BaseRepresentation
bin1111101001000…
…10010000100000
3100010220021110120
413310202100200
5232042243240
621004200240
73152200131
oct764422040
9303807416
10131212320
116807a838
1237b39080
1321251535
14135d7c88
15b7bcad0
hex7d22420

131212320 has 48 divisors (see below), whose sum is σ = 413320320. Its totient is φ = 34989824.

The previous prime is 131212313. The next prime is 131212321. The reversal of 131212320 is 23212131.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 131212320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131212321) 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, 136200 + ... + 137159.

It is an arithmetic number, because the mean of its divisors is an integer number (8610840).

Almost surely, 2131212320 is an apocalyptic number.

131212320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131212320 is an abundant number, since it is smaller than the sum of its proper divisors (282108000).

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

131212320 is a wasteful number, since it uses less digits than its factorization.

131212320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273377 (or 273369 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 131212320 is about 11454.7946293244. The cubic root of 131212320 is about 508.1495416071.

Adding to 131212320 its reverse (23212131), we get a palindrome (154424451).

The spelling of 131212320 in words is "one hundred thirty-one million, two hundred twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 273359 546718 820077 1093436 1366795 1640154 2186872 2733590 3280308 4100385 4373744 5467180 6560616 8200770 8747488 10934360 13121232 16401540 21868720 26242464 32803080 43737440 65606160 131212320