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211284060312 = 2331317535912739
BaseRepresentation
bin1100010011000110000…
…0101110100010011000
3202012100202020100020010
43010301200232202120
511430202204412222
6241021302401520
721156546611013
oct3046140564230
9665322210203
10211284060312
1181672386786
1234b467302a0
1316c02053340
14a3249b637a
155768e2480c
hex313182e898

211284060312 has 256 divisors, whose sum is σ = 624117312000. Its totient is φ = 59009753088.

The previous prime is 211284060307. The next prime is 211284060331. The reversal of 211284060312 is 213060482112.

It is a self number, because there is not a number n which added to its sum of digits gives 211284060312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16579239 + ... + 16591977.

It is an arithmetic number, because the mean of its divisors is an integer number (2437958250).

Almost surely, 2211284060312 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 211284060312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312058656000).

211284060312 is an abundant number, since it is smaller than the sum of its proper divisors (412833251688).

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

211284060312 is a wasteful number, since it uses less digits than its factorization.

211284060312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12890 (or 12886 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 211284060312 in words is "two hundred eleven billion, two hundred eighty-four million, sixty thousand, three hundred twelve".