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101214344112 = 24371911577137
BaseRepresentation
bin101111001000011011…
…0000101001110110000
3100200020210122102012120
41132100312011032300
53124241333002422
6114255222354240
710212120505230
oct1362066051660
9320223572176
10101214344112
1139a19949882
121774858b980
139710286b5b
144c82445cc0
152975b5a45c
hex1790d853b0

101214344112 has 80 divisors (see below), whose sum is σ = 300388012032. Its totient is φ = 28766960640.

The previous prime is 101214344089. The next prime is 101214344141. The reversal of 101214344112 is 211443412101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 724393 + ... + 852744.

Almost surely, 2101214344112 is an apocalyptic number.

101214344112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101214344112 is an abundant number, since it is smaller than the sum of its proper divisors (199173667920).

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

101214344112 is a wasteful number, since it uses less digits than its factorization.

101214344112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1577346 (or 1577340 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 101214344112 its reverse (211443412101), we get a palindrome (312657756213).

The spelling of 101214344112 in words is "one hundred one billion, two hundred fourteen million, three hundred forty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 191 336 382 573 764 1146 1337 1528 2292 2674 3056 4011 4584 5348 8022 9168 10696 16044 21392 32088 64176 1577137 3154274 4731411 6308548 9462822 11039959 12617096 18925644 22079918 25234192 33119877 37851288 44159836 66239754 75702576 88319672 132479508 176639344 264959016 301233167 529918032 602466334 903699501 1204932668 1807399002 2108632169 2409865336 3614798004 4217264338 4819730672 6325896507 7229596008 8434528676 12651793014 14459192016 16869057352 25303586028 33738114704 50607172056 101214344112