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1111220102112 = 25347269991249
BaseRepresentation
bin10000001010111001111…
…000010010001111100000
310221020020211200000022020
4100022321320102033200
5121201234321231422
62210253143141440
7143166033010341
oct20127170221740
93836224600266
101111220102112
113992a186185a
1215b441444880
1380a314a7953
143bad76b00c8
151dd8aa1a95c
hex102b9e123e0

1111220102112 has 96 divisors (see below), whose sum is σ = 2980152000000. Its totient is φ = 362387417088.

The previous prime is 1111220102107. The next prime is 1111220102119. The reversal of 1111220102112 is 2112010221111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 1111220102091 and 1111220102100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1111220102119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12132264 + ... + 12223512.

It is an arithmetic number, because the mean of its divisors is an integer number (31043250000).

Almost surely, 21111220102112 is an apocalyptic number.

1111220102112 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 1111220102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490076000000).

1111220102112 is an abundant number, since it is smaller than the sum of its proper divisors (1868931897888).

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

1111220102112 is a wasteful number, since it uses less digits than its factorization.

1111220102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94008 (or 94000 counting only the distinct ones).

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

Adding to 1111220102112 its reverse (2112010221111), we get a palindrome (3223230323223).

The spelling of 1111220102112 in words is "one trillion, one hundred eleven billion, two hundred twenty million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 564 752 1128 1504 2256 2699 4512 5398 8097 10796 16194 21592 32388 43184 64776 86368 91249 126853 129552 182498 253706 259104 273747 364996 380559 507412 547494 729992 761118 1014824 1094988 1459984 1522236 2029648 2189976 2919968 3044472 4059296 4288703 4379952 6088944 8577406 8759904 12177888 12866109 17154812 25732218 34309624 51464436 68619248 102928872 137238496 205857744 246281051 411715488 492562102 738843153 985124204 1477686306 1970248408 2955372612 3940496816 5910745224 7880993632 11575209397 11821490448 23150418794 23642980896 34725628191 46300837588 69451256382 92601675176 138902512764 185203350352 277805025528 370406700704 555610051056 1111220102112