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111002220002112 = 26319720983139861
BaseRepresentation
bin11001001111010010110111…
…111001000111101101000000
3112120000201010120021222222120
4121033102313321013231000
5104022130021310031422
61032025414344404240
732244434330133135
oct3117226771075500
9476021116258876
10111002220002112
113240686040757a
1210548b82a76680
1349c26064829ca
141d5a77115058c
15cc7650ce745c
hex64f4b7e47b40

111002220002112 has 112 divisors (see below), whose sum is σ = 295200381497472. Its totient is φ = 36810901370880.

The previous prime is 111002220002111. The next prime is 111002220002117. The reversal of 111002220002112 is 211200022200111.

It is a junction number, because it is equal to n+sod(n) for n = 111002220002091 and 111002220002100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111002220002111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 793591062 + ... + 793730922.

Almost surely, 2111002220002112 is an apocalyptic number.

111002220002112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111002220002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147600190748736).

111002220002112 is an abundant number, since it is smaller than the sum of its proper divisors (184198161495360).

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

111002220002112 is a wasteful number, since it uses less digits than its factorization.

111002220002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161056 (or 161046 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 111002220002112 its reverse (211200022200111), we get a palindrome (322202242202223).

The spelling of 111002220002112 in words is "one hundred eleven trillion, two billion, two hundred twenty million, two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 197 394 591 788 1182 1576 2364 3152 4728 6304 9456 12608 18912 20983 37824 41966 62949 83932 125898 139861 167864 251796 279722 335728 419583 503592 559444 671456 839166 1007184 1118888 1342912 1678332 2014368 2237776 3356664 4028736 4133651 4475552 6713328 8267302 8951104 12400953 13426656 16534604 24801906 26853312 27552617 33069208 49603812 55105234 66138416 82657851 99207624 110210468 132276832 165315702 198415248 220420936 264553664 330631404 396830496 440841872 661262808 793660992 881683744 1322525616 1763367488 2645051232 2934703363 5290102464 5869406726 8804110089 11738813452 17608220178 23477626904 35216440356 46955253808 70432880712 93910507616 140865761424 187821015232 281731522848 563463045696 578136562511 1156273125022 1734409687533 2312546250044 3468819375066 4625092500088 6937638750132 9250185000176 13875277500264 18500370000352 27750555000528 37000740000704 55501110001056 111002220002112