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1110113113312 = 25729415341149
BaseRepresentation
bin10000001001110111111…
…001011101010011100000
310221010101200200011011001
4100021313321131103200
5121142002424111222
62205551240401344
7143126431525630
oct20116771352340
93833350604131
101110113113312
11398883a03785
1215b192776254
13808b604aba8
143ba306726c0
151dd23753e27
hex10277e5d4e0

1110113113312 has 96 divisors (see below), whose sum is σ = 2584568952000. Its totient is φ = 459235381248.

The previous prime is 1110113113309. The next prime is 1110113113357. The reversal of 1110113113312 is 2133113110111.

It is a super-2 number, since 2×11101131133122 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1110113113312.

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, 26957314 + ... + 26998462.

It is an arithmetic number, because the mean of its divisors is an integer number (26922593250).

Almost surely, 21110113113312 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 1110113113312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1292284476000).

1110113113312 is an abundant number, since it is smaller than the sum of its proper divisors (1474455838688).

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

1110113113312 is a wasteful number, since it uses less digits than its factorization.

1110113113312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45348 (or 45340 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 19.

Adding to 1110113113312 its reverse (2133113110111), we get a palindrome (3243226223423).

The spelling of 1110113113312 in words is "one trillion, one hundred ten billion, one hundred thirteen million, one hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 112 116 203 224 232 406 464 812 928 1624 3248 4153 6496 8306 16612 29071 33224 41149 58142 66448 82298 116284 120437 132896 164596 232568 240874 288043 329192 465136 481748 576086 658384 843059 930272 963496 1152172 1193321 1316768 1686118 1926992 2304344 2386642 3372236 3853984 4608688 4773284 6744472 8353247 9217376 9546568 13488944 16706494 19093136 26977888 33412988 38186272 66825976 133651952 170891797 267303904 341783594 683567188 1196242579 1367134376 2392485158 2734268752 4784970316 4955862113 5468537504 9569940632 9911724226 19139881264 19823448452 34691034791 38279762528 39646896904 69382069582 79293793808 138764139164 158587587616 277528278328 555056556656 1110113113312