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1111211010112 = 26717151966257
BaseRepresentation
bin10000001010111001010…
…101100110100001000000
310221020020012120002102111
4100022321111212201000
5121201230004310422
62210252220225104
7143165562512140
oct20127125464100
93836205502374
101111211010112
11399297711905
1215b43a39b194
1380a2c643478
143bad63c4920
151dd89d21a77
hex102b9566840

1111211010112 has 112 divisors (see below), whose sum is σ = 2685980798208. Its totient is φ = 445250764800.

The previous prime is 1111211010079. The next prime is 1111211010113. The reversal of 1111211010112 is 2110101121111.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 1111211010092 and 1111211010101.

It is not an unprimeable number, because it can be changed into a prime (1111211010113) 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, 666888 + ... + 1633144.

Almost surely, 21111211010112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1111211010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342990399104).

1111211010112 is an abundant number, since it is smaller than the sum of its proper divisors (1574769788096).

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

1111211010112 is a wasteful number, since it uses less digits than its factorization.

1111211010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966444 (or 966434 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 1111211010112 its reverse (2110101121111), we get a palindrome (3221312131223).

It can be divided in two parts, 1111 and 211010112, that multiplied together give a palindrome (234432234432).

The spelling of 1111211010112 in words is "one trillion, one hundred eleven billion, two hundred eleven million, ten thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 136 151 224 238 272 302 448 476 544 604 952 1057 1088 1208 1904 2114 2416 2567 3808 4228 4832 5134 7616 8456 9664 10268 16912 17969 20536 33824 35938 41072 67648 71876 82144 143752 164288 287504 575008 966257 1150016 1932514 3865028 6763799 7730056 13527598 15460112 16426369 27055196 30920224 32852738 54110392 61840448 65705476 108220784 114984583 131410952 145904807 216441568 229969166 262821904 291809614 432883136 459938332 525643808 583619228 919876664 1021333649 1051287616 1167238456 1839753328 2042667298 2334476912 2480381719 3679506656 4085334596 4668953824 4960763438 7359013312 8170669192 9337907648 9921526876 16341338384 17362672033 19843053752 32682676768 34725344066 39686107504 65365353536 69450688132 79372215008 138901376264 158744430016 277802752528 555605505056 1111211010112