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111002220321213 = 313292232331888897
BaseRepresentation
bin11001001111010010110111…
…111010010101100110111101
3112120000201010120220012201010
4121033102313322111212331
5104022130021400234323
61032025414355305433
732244434332632354
oct3117226772254675
9476021116805633
10111002220321213
11324068606052a1
1210548b82bab279
1349c2606565020
141d5a7711d499b
15cc7650d5bc93
hex64f4b7e959bd

111002220321213 has 64 divisors (see below), whose sum is σ = 166334242314240. Its totient is φ = 65375990120448.

The previous prime is 111002220321169. The next prime is 111002220321217. The reversal of 111002220321213 is 312123022200111.

It is not a de Polignac number, because 111002220321213 - 29 = 111002220320701 is a prime.

It is a super-2 number, since 2×1110022203212132 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 111002220321213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111002220321217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57821181 + ... + 59710077.

It is an arithmetic number, because the mean of its divisors is an integer number (2598972536160).

Almost surely, 2111002220321213 is an apocalyptic number.

111002220321213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

111002220321213 is a deficient number, since it is larger than the sum of its proper divisors (55332021993027).

111002220321213 is a wasteful number, since it uses less digits than its factorization.

111002220321213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1889398.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 111002220321213 its reverse (312123022200111), we get a palindrome (423125242521324).

The spelling of 111002220321213 in words is "one hundred eleven trillion, two billion, two hundred twenty million, three hundred twenty-one thousand, two hundred thirteen".

Divisors: 1 3 13 29 39 87 223 233 377 669 699 1131 2899 3029 6467 6757 8697 9087 19401 20271 51959 84071 87841 155877 252213 263523 675467 1506811 1888897 2026401 4520433 5666691 19588543 24555661 54778013 58765629 73666983 164334039 421224031 440113001 712114169 1263672093 1320339003 2136342507 5475912403 5721469013 12215496899 12763277029 16427737209 17164407039 36646490697 38289831087 98145199223 158801459687 165922601377 294435597669 476404379061 497767804131 1275887589899 2846210777467 3827662769697 8538632332401 37000740107071 111002220321213