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110553115332 = 223113773330881
BaseRepresentation
bin110011011110101111…
…0101010101011000100
3101120100122012010222010
41212331132222223010
53302403044142312
6122442024534220
710662415655412
oct1467536525304
9346318163863
10110553115332
1142981395920
1219514021370
13a56ac8b39a
1454ca8442b2
152d2095393c
hex19bd7aaac4

110553115332 has 96 divisors (see below), whose sum is σ = 289417209984. Its totient is φ = 32549990400.

The previous prime is 110553115331. The next prime is 110553115349. The reversal of 110553115332 is 233511355011.

It is a super-3 number, since 3×1105531153323 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 110553115332.

It is not an unprimeable number, because it can be changed into a prime (110553115331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3564532 + ... + 3595412.

It is an arithmetic number, because the mean of its divisors is an integer number (3014762604).

Almost surely, 2110553115332 is an apocalyptic number.

110553115332 is a gapful number since it is divisible by the number (12) 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 110553115332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144708604992).

110553115332 is an abundant number, since it is smaller than the sum of its proper divisors (178864094652).

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

110553115332 is a wasteful number, since it uses less digits than its factorization.

110553115332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31669 (or 31667 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 30.

The spelling of 110553115332 in words is "one hundred ten billion, five hundred fifty-three million, one hundred fifteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 148 222 407 444 733 814 1221 1466 1628 2199 2442 2932 4398 4884 8063 8796 16126 24189 27121 30881 32252 48378 54242 61762 81363 92643 96756 108484 123524 162726 185286 298331 325452 339691 370572 596662 679382 894993 1019073 1142597 1193324 1358764 1789986 2038146 2285194 3427791 3579972 4076292 4570388 6855582 12568567 13711164 22635773 25137134 37705701 45271546 50274268 67907319 75411402 90543092 135814638 150822804 248993503 271629276 497987006 746980509 837523601 995974012 1493961018 1675047202 2512570803 2987922036 3350094404 5025141606 9212759611 10050283212 18425519222 27638278833 36851038444 55276557666 110553115332