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1111102220112 = 24389647401993
BaseRepresentation
bin10000001010110010110…
…110100110011101010000
310221012221121211222121020
4100022302312212131100
5121201014132020422
62210233332355440
7143163102020133
oct20126266463520
93835847758536
101111102220112
11399241267315
1215b409a75b80
1380a12c42aa1
143bac5b8621a
151dd804d295c
hex102b2da6750

1111102220112 has 80 divisors (see below), whose sum is σ = 2907091969920. Its totient is φ = 365639059456.

The previous prime is 1111102220093. The next prime is 1111102220153. The reversal of 1111102220112 is 2110222011111.

It is a happy number.

It is a super-3 number, since 3×11111022201123 (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1111102220091 and 1111102220100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2562988 + ... + 2964980.

It is an arithmetic number, because the mean of its divisors is an integer number (36338649624).

Almost surely, 21111102220112 is an apocalyptic number.

1111102220112 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 1111102220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1453545984960).

1111102220112 is an abundant number, since it is smaller than the sum of its proper divisors (1795989749808).

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

1111102220112 is a wasteful number, since it uses less digits than its factorization.

1111102220112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402740 (or 402734 counting only the distinct ones).

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

Adding to 1111102220112 its reverse (2110222011111), we get a palindrome (3221324231223).

The spelling of 1111102220112 in words is "one trillion, one hundred eleven billion, one hundred two million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 89 178 267 356 534 647 712 1068 1294 1424 1941 2136 2588 3882 4272 5176 7764 10352 15528 31056 57583 115166 172749 230332 345498 401993 460664 690996 803986 921328 1205979 1381992 1607972 2411958 2763984 3215944 4823916 6431888 9647832 19295664 35777377 71554754 107332131 143109508 214664262 260089471 286219016 429328524 520178942 572438032 780268413 858657048 1040357884 1560536826 1717314096 2080715768 3121073652 4161431536 6242147304 12484294608 23147962919 46295925838 69443888757 92591851676 138887777514 185183703352 277775555028 370367406704 555551110056 1111102220112