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13321000110 = 2351123799181
BaseRepresentation
bin11000110011111111…
…00101010010101110
31021101100210220211110
430121333211102232
5204240134000420
610041455132450
7651051430005
oct143177452256
937340726743
1013321000110
1157163a2600
1226b9214126
131343a431b2
14905247c3c
1552e70cee0
hex319fe54ae

13321000110 has 96 divisors (see below), whose sum is σ = 36091139616. Its totient is φ = 3142022400.

The previous prime is 13321000093. The next prime is 13321000123. The reversal of 13321000110 is 1100012331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84720 + ... + 183900.

It is an arithmetic number, because the mean of its divisors is an integer number (375949371).

Almost surely, 213321000110 is an apocalyptic number.

13321000110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13321000110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18045569808).

13321000110 is an abundant number, since it is smaller than the sum of its proper divisors (22770139506).

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

13321000110 is a wasteful number, since it uses less digits than its factorization.

13321000110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99250 (or 99239 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 13321000110 its reverse (1100012331), we get a palindrome (14421012441).

It can be divided in two parts, 13 and 321000110, that added together give a palindrome (321000123).

The spelling of 13321000110 in words is "thirteen billion, three hundred twenty-one million, one hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 55 66 74 110 111 121 165 185 222 242 330 363 370 407 555 605 726 814 1110 1210 1221 1815 2035 2442 3630 4070 4477 6105 8954 12210 13431 22385 26862 44770 67155 99181 134310 198362 297543 495905 595086 991810 1090991 1487715 2181982 2975430 3272973 3669697 5454955 6545946 7339394 10909910 11009091 12000901 16364865 18348485 22018182 24001802 32729730 36002703 36696970 40366667 55045455 60004505 72005406 80733334 110090910 120009010 121100001 180013515 201833335 242200002 360027030 403666670 444033337 605500005 888066674 1211000010 1332100011 2220166685 2664200022 4440333370 6660500055 13321000110