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312101216 = 2573737657
BaseRepresentation
bin10010100110100…
…100100101100000
3210202021101101022
4102212210211200
51114344214331
650545225012
710506550040
oct2246444540
9722241338
10312101216
1115019a299
1288632168
134c876b9b
142d643720
151c5ee67b
hex129a4960

312101216 has 48 divisors (see below), whose sum is σ = 721226016. Its totient is φ = 130139136.

The previous prime is 312101189. The next prime is 312101221. The reversal of 312101216 is 612101213.

312101216 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 312101194 and 312101203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10541 + ... + 27116.

It is an arithmetic number, because the mean of its divisors is an integer number (15025542).

Almost surely, 2312101216 is an apocalyptic number.

It is an amenable number.

312101216 is an abundant number, since it is smaller than the sum of its proper divisors (409124800).

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

312101216 is a wasteful number, since it uses less digits than its factorization.

312101216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37711 (or 37703 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 312101216 is about 17666.3866141325. The cubic root of 312101216 is about 678.3156235914.

Adding to 312101216 its reverse (612101213), we get a palindrome (924202429).

The spelling of 312101216 in words is "three hundred twelve million, one hundred one thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 74 112 148 224 259 296 518 592 1036 1184 2072 4144 8288 37657 75314 150628 263599 301256 527198 602512 1054396 1205024 1393309 2108792 2786618 4217584 5573236 8435168 9753163 11146472 19506326 22292944 39012652 44585888 78025304 156050608 312101216