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314131212 = 223253612699
BaseRepresentation
bin10010101110010…
…100001100001100
3210220002112000100
4102232110030030
51120404144322
651100531100
710533033303
oct2256241414
9726075010
10314131212
1115135647a
1289250a90
1350107b75
142da1143a
151c8a0dac
hex12b9430c

314131212 has 72 divisors (see below), whose sum is σ = 822603600. Its totient is φ = 101013120.

The previous prime is 314131183. The next prime is 314131229. The reversal of 314131212 is 212131413.

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 23 ways as a sum of consecutive naturals, for example, 115039 + ... + 117737.

It is an arithmetic number, because the mean of its divisors is an integer number (11425050).

Almost surely, 2314131212 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 314131212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411301800).

314131212 is an abundant number, since it is smaller than the sum of its proper divisors (508472388).

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

314131212 is a wasteful number, since it uses less digits than its factorization.

314131212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2823 (or 2818 counting only the distinct ones).

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

The square root of 314131212 is about 17723.7471207417. The cubic root of 314131212 is about 679.7830997960.

Adding to 314131212 its reverse (212131413), we get a palindrome (526262625).

The spelling of 314131212 in words is "three hundred fourteen million, one hundred thirty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 53 61 106 122 159 183 212 244 318 366 477 549 636 732 954 1098 1908 2196 2699 3233 5398 6466 8097 9699 10796 12932 16194 19398 24291 29097 32388 38796 48582 58194 97164 116388 143047 164639 286094 329278 429141 493917 572188 658556 858282 987834 1287423 1481751 1716564 1975668 2574846 2963502 5149692 5927004 8725867 17451734 26177601 34903468 52355202 78532803 104710404 157065606 314131212