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313212141 = 32113722311
BaseRepresentation
bin10010101010110…
…011110011101101
3210211100211021200
4102222303303231
51120140242031
651025120113
710522154634
oct2252636355
9724324250
10313212141
11150888a10
1288a89039
134cb75738
142d85251b
151c76d8e6
hex12ab3ced

313212141 has 36 divisors (see below), whose sum is σ = 507465504. Its totient is φ = 184615200.

The previous prime is 313212077. The next prime is 313212227. The reversal of 313212141 is 141212313.

313212141 is a `hidden beast` number, since 313 + 212 + 141 = 666.

It is not a de Polignac number, because 313212141 - 26 = 313212077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313212041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 134376 + ... + 136686.

It is an arithmetic number, because the mean of its divisors is an integer number (14096264).

Almost surely, 2313212141 is an apocalyptic number.

It is an amenable number.

313212141 is a deficient number, since it is larger than the sum of its proper divisors (194253363).

313212141 is a wasteful number, since it uses less digits than its factorization.

313212141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2402 (or 2362 counting only the distinct ones).

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

The square root of 313212141 is about 17697.8004565539. The cubic root of 313212141 is about 679.1194925636.

Adding to 313212141 its reverse (141212313), we get a palindrome (454424454).

The spelling of 313212141 in words is "three hundred thirteen million, two hundred twelve thousand, one hundred forty-one".

Divisors: 1 3 9 11 33 37 99 111 333 407 1221 1369 2311 3663 4107 6933 12321 15059 20799 25421 45177 76263 85507 135531 228789 256521 769563 940577 2821731 3163759 8465193 9491277 28473831 34801349 104404047 313212141