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110681111616 = 2631971427327
BaseRepresentation
bin110011100010100011…
…0111011110001000000
3101120200120001000212020
41213011012323301000
53303133331032431
6122502440201440
710665531632415
oct1470506736100
9346616030766
10110681111616
1142a37669379
121954aa69280
13a58b654b2a
1454dd84210c
152d2bcd8696
hex19c51bbc40

110681111616 has 112 divisors (see below), whose sum is σ = 312598978560. Its totient is φ = 34459568640.

The previous prime is 110681111459. The next prime is 110681111621. The reversal of 110681111616 is 616111186011.

It is an unprimeable number.

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, 45345 + ... + 472671.

Almost surely, 2110681111616 is an apocalyptic number.

110681111616 is a gapful number since it is divisible by the number (16) 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 110681111616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156299489280).

110681111616 is an abundant number, since it is smaller than the sum of its proper divisors (201917866944).

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

110681111616 is a wasteful number, since it uses less digits than its factorization.

110681111616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427432 (or 427422 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 33.

Adding to 110681111616 its reverse (616111186011), we get a palindrome (726792297627).

The spelling of 110681111616 in words is "one hundred ten billion, six hundred eighty-one million, one hundred eleven thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 71 76 96 114 142 152 192 213 228 284 304 426 456 568 608 852 912 1136 1216 1349 1704 1824 2272 2698 3408 3648 4047 4544 5396 6816 8094 10792 13632 16188 21584 32376 43168 64752 86336 129504 259008 427327 854654 1281981 1709308 2563962 3418616 5127924 6837232 8119213 10255848 13674464 16238426 20511696 24357639 27348928 30340217 32476852 41023392 48715278 60680434 64953704 82046784 91020651 97430556 121360868 129907408 182041302 194861112 242721736 259814816 364082604 389722224 485443472 519629632 576464123 728165208 779444448 970886944 1152928246 1456330416 1558888896 1729392369 1941773888 2305856492 2912660832 3458784738 4611712984 5825321664 6917569476 9223425968 13835138952 18446851936 27670277904 36893703872 55340555808 110681111616