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1014216112 = 247213191521
BaseRepresentation
bin111100011100111…
…011010110110000
32121200102111221201
4330130323112300
54034114403422
6244350100544
734063460200
oct7434732660
92550374851
101014216112
11480553638
122437aa754
13132176aa0
14989ac400
155e08d727
hex3c73b5b0

1014216112 has 120 divisors (see below), whose sum is σ = 2479341312. Its totient is φ = 398361600.

The previous prime is 1014216089. The next prime is 1014216121. The reversal of 1014216112 is 2116124101.

It is a self number, because there is not a number n which added to its sum of digits gives 1014216112.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1946412 + ... + 1946932.

Almost surely, 21014216112 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 1014216112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239670656).

1014216112 is an abundant number, since it is smaller than the sum of its proper divisors (1465125200).

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

1014216112 is a wasteful number, since it uses less digits than its factorization.

1014216112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

The square root of 1014216112 is about 31846.7598351857. The cubic root of 1014216112 is about 1004.7164243694.

The spelling of 1014216112 in words is "one billion, fourteen million, two hundred sixteen thousand, one hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 182 191 196 208 364 382 392 521 637 728 764 784 1042 1274 1337 1456 1528 2084 2483 2548 2674 3056 3647 4168 4966 5096 5348 6773 7294 8336 9359 9932 10192 10696 13546 14588 17381 18718 19864 21392 25529 27092 29176 34762 37436 39728 47411 51058 54184 58352 69524 74872 94822 99511 102116 108368 121667 139048 149744 189644 199022 204232 243334 278096 331877 379288 398044 408464 486668 663754 696577 758576 796088 973336 1293643 1327508 1393154 1592176 1946672 2587286 2655016 2786308 4876039 5174572 5310032 5572616 9055501 9752078 10349144 11145232 18111002 19504156 20698288 36222004 39008312 63388507 72444008 78016624 126777014 144888016 253554028 507108056 1014216112