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131314212 = 22326159797
BaseRepresentation
bin1111101001110…
…11001000100100
3100011002110020100
413310323020210
5232104023322
621010304100
73153103161
oct764731044
9304073210
10131314212
116813a347
1237b88030
1321288a23
1413623068
15b7dcdac
hex7d3b224

131314212 has 36 divisors (see below), whose sum is σ = 337380316. Its totient is φ = 43053120.

The previous prime is 131314207. The next prime is 131314223. The reversal of 131314212 is 212413131.

It can be written as a sum of positive squares in 2 ways, for example, as 39614436 + 91699776 = 6294^2 + 9576^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27703 + ... + 32094.

Almost surely, 2131314212 is an apocalyptic number.

131314212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131314212 is an abundant number, since it is smaller than the sum of its proper divisors (206066104).

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

131314212 is a wasteful number, since it uses less digits than its factorization.

131314212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59868 (or 59863 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 131314212 is about 11459.2413361444. The cubic root of 131314212 is about 508.2810408868.

Adding to 131314212 its reverse (212413131), we get a palindrome (343727343).

The spelling of 131314212 in words is "one hundred thirty-one million, three hundred fourteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 732 1098 2196 59797 119594 179391 239188 358782 538173 717564 1076346 2152692 3647617 7295234 10942851 14590468 21885702 32828553 43771404 65657106 131314212