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111222111104 = 27131793131193
BaseRepresentation
bin110011110010101011…
…0101011101110000000
3101122002021000122122022
41213211112223232000
53310240330023404
6123032243501012
711015121226406
oct1474526535600
9348067018568
10111222111104
1143194a89295
1219680087768
13a646763680
14555162b476
152d5e54e8be
hex19e55abb80

111222111104 has 128 divisors (see below), whose sum is σ = 240921021600. Its totient is φ = 50840764416.

The previous prime is 111222111083. The next prime is 111222111107. The reversal of 111222111104 is 401111222111.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111222111107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93228332 + ... + 93229524.

Almost surely, 2111222111104 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 111222111104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120460510800).

111222111104 is an abundant number, since it is smaller than the sum of its proper divisors (129698910496).

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

111222111104 is a wasteful number, since it uses less digits than its factorization.

111222111104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1712 (or 1700 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 111222111104 its reverse (401111222111), we get a palindrome (512333333215).

The spelling of 111222111104 in words is "one hundred eleven billion, two hundred twenty-two million, one hundred eleven thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 179 208 313 358 416 626 716 832 1193 1252 1432 1664 2327 2386 2504 2864 4069 4654 4772 5008 5728 8138 9308 9544 10016 11456 15509 16276 18616 19088 20032 22912 31018 32552 37232 38176 40064 56027 62036 65104 74464 76352 112054 124072 130208 148928 152704 213547 224108 248144 260416 297856 373409 427094 448216 496288 520832 728351 746818 854188 896432 992576 1456702 1493636 1708376 1792864 1985152 2776111 2913404 2987272 3416752 3585728 4854317 5552222 5826808 5974544 6833504 7171456 9708634 11104444 11653616 11949088 13667008 19417268 22208888 23307232 23898176 27334016 38834536 44417776 46614464 47796352 66840211 77669072 88835552 93228928 133680422 155338144 177671104 267360844 310676288 355342208 534721688 621352576 868922743 1069443376 1737845486 2138886752 3475690972 4277773504 6951381944 8555547008 13902763888 27805527776 55611055552 111222111104