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111011222100012 = 223131761767843493
BaseRepresentation
bin11001001111011011010000…
…011101011001100000101100
3112120001120100221022221202220
4121033123100131121200230
5104022301440324200022
61032033503522515340
732245203366532413
oct3117332035314054
9476046327287686
10111011222100012
113240a65a900a03
121054a875805b50
1349c340c4b8b60
141d5ad8695047a
15cc79cb28a85c
hex64f6d075982c

111011222100012 has 96 divisors (see below), whose sum is σ = 295838882684352. Its totient is φ = 32095941943296.

The previous prime is 111011222099971. The next prime is 111011222100101. The reversal of 111011222100012 is 210001222110111.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 111011222099964 and 111011222100000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32285463 + ... + 35558030.

It is an arithmetic number, because the mean of its divisors is an integer number (3081655027962).

Almost surely, 2111011222100012 is an apocalyptic number.

111011222100012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

111011222100012 is an abundant number, since it is smaller than the sum of its proper divisors (184827660584340).

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

111011222100012 is a wasteful number, since it uses less digits than its factorization.

111011222100012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67844147 (or 67844145 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 111011222100012 its reverse (210001222110111), we get a palindrome (321012444210123).

The spelling of 111011222100012 in words is "one hundred eleven trillion, eleven billion, two hundred twenty-two million, one hundred thousand, twelve".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 204 221 442 617 663 884 1234 1326 1851 2468 2652 3702 7404 8021 10489 16042 20978 24063 31467 32084 41956 48126 62934 96252 125868 136357 272714 409071 545428 818142 1636284 67843493 135686986 203530479 271373972 407060958 814121916 881965409 1153339381 1763930818 2306678762 2645896227 3460018143 3527861636 4613357524 5291792454 6920036286 10583584908 13840072572 14993411953 29986823906 41859435181 44980235859 59973647812 83718870362 89960471718 125578305543 167437740724 179920943436 251156611086 502313222172 544172657353 711610398077 1088345314706 1423220796154 1632517972059 2134831194231 2176690629412 2846441592308 3265035944118 4269662388462 6530071888236 8539324776924 9250935175001 18501870350002 27752805525003 37003740700004 55505611050006 111011222100012