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110345414460 = 22357348895153
BaseRepresentation
bin110011011000100011…
…0010110011100111100
3101112211011100211221020
41212301012112130330
53301441411230320
6122405245104140
710654314355461
oct1466106263474
9345734324836
10110345414460
1142885123106
1219476558050
13a536c38b68
1454ab019668
152d0c5c7940
hex19b119673c

110345414460 has 96 divisors (see below), whose sum is σ = 313324441920. Its totient is φ = 29010788352.

The previous prime is 110345414357. The next prime is 110345414471. The reversal of 110345414460 is 64414543011.

It is a super-2 number, since 2×1103454144602 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 21411244 + ... + 21416396.

It is an arithmetic number, because the mean of its divisors is an integer number (3263796270).

Almost surely, 2110345414460 is an apocalyptic number.

110345414460 is a gapful number since it is divisible by the number (10) 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 110345414460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156662220960).

110345414460 is an abundant number, since it is smaller than the sum of its proper divisors (202979027460).

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

110345414460 is a wasteful number, since it uses less digits than its factorization.

110345414460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10127 (or 10125 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

Adding to 110345414460 its reverse (64414543011), we get a palindrome (174759957471).

The spelling of 110345414460 in words is "one hundred ten billion, three hundred forty-five million, four hundred fourteen thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 219 292 365 438 730 876 1095 1460 2190 4380 4889 5153 9778 10306 14667 15459 19556 20612 24445 25765 29334 30918 48890 51530 58668 61836 73335 77295 97780 103060 146670 154590 293340 309180 356897 376169 713794 752338 1070691 1128507 1427588 1504676 1784485 1880845 2141382 2257014 3568970 3761690 4282764 4514028 5353455 5642535 7137940 7523380 10706910 11285070 21413820 22570140 25193017 50386034 75579051 100772068 125965085 151158102 251930170 302316204 377895255 503860340 755790510 1511581020 1839090241 3678180482 5517270723 7356360964 9195451205 11034541446 18390902410 22069082892 27586353615 36781804820 55172707230 110345414460