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111221200131312 = 243171224011113557
BaseRepresentation
bin11001010010011110110100…
…001000000001010011110000
3112120210122100200001011000010
4121102132310020001103300
5104034222004213200222
61032314151452454520
732266316010412605
oct3122366410012360
9476718320034003
10111221200131312
1132490711a41767
12105834b6a7a440
134a0a163aa2c5b
141d671c5cb66ac
15ccd1ba6cd80c
hex6527b42014f0

111221200131312 has 80 divisors (see below), whose sum is σ = 304225453137312. Its totient is φ = 34892609126400.

The previous prime is 111221200131277. The next prime is 111221200131317. The reversal of 111221200131312 is 213131002122111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111221200131317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99322438 + ... + 100435994.

Almost surely, 2111221200131312 is an apocalyptic number.

111221200131312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

111221200131312 is an abundant number, since it is smaller than the sum of its proper divisors (193004253006000).

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

111221200131312 is a wasteful number, since it uses less digits than its factorization.

111221200131312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235986 (or 1235980 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 111221200131312 its reverse (213131002122111), we get a palindrome (324352202253423).

The spelling of 111221200131312 in words is "one hundred eleven trillion, two hundred twenty-one billion, two hundred million, one hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 816 122401 244802 367203 489604 734406 979208 1113557 1468812 1958416 2080817 2227114 2937624 3340671 4161634 4454228 5875248 6242451 6681342 8323268 8908456 12484902 13362684 16646536 17816912 18930469 24969804 26725368 33293072 37860938 49939608 53450736 56791407 75721876 99879216 113582814 151443752 227165628 302887504 454331256 908662512 136300490357 272600980714 408901471071 545201961428 817802942142 1090403922856 1635605884284 2180807845712 2317108336069 3271211768568 4634216672138 6542423537136 6951325008207 9268433344276 13902650016414 18536866688552 27805300032828 37073733377104 55610600065656 111221200131312