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110330300420 = 225431131378287
BaseRepresentation
bin110011011000000110…
…0101100100000000100
3101112210002220222100222
41212300030230200010
53301424024103140
6122403545123512
710654042036304
oct1466014544004
9345702828328
10110330300420
114287763a76a
1219471489598
13a533a76642
1454a9003604
152d0b0de5b5
hex19b032c804

110330300420 has 96 divisors (see below), whose sum is σ = 240954835968. Its totient is φ = 42407350272.

The previous prime is 110330300413. The next prime is 110330300429. The reversal of 110330300420 is 24003033011.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (110330300429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13309517 + ... + 13317803.

It is an arithmetic number, because the mean of its divisors is an integer number (2509946208).

Almost surely, 2110330300420 is an apocalyptic number.

110330300420 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 110330300420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120477417984).

110330300420 is an abundant number, since it is smaller than the sum of its proper divisors (130624535548).

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

110330300420 is a wasteful number, since it uses less digits than its factorization.

110330300420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8589 (or 8587 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 110330300420 its reverse (24003033011), we get a palindrome (134333333431).

The spelling of 110330300420 in words is "one hundred ten billion, three hundred thirty million, three hundred thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 43 86 113 137 172 215 226 274 430 452 548 565 685 860 1130 1370 2260 2740 4859 5891 8287 9718 11782 15481 16574 19436 23564 24295 29455 30962 33148 41435 48590 58910 61924 77405 82870 97180 117820 154810 165740 309620 356341 665683 712682 936431 1135319 1331366 1425364 1781705 1872862 2270638 2662732 3328415 3563410 3745724 4541276 4682155 5676595 6656830 7126820 9364310 11353190 13313660 18728620 22706380 40266533 48818717 80533066 97637434 128291047 161066132 195274868 201332665 244093585 256582094 402665330 488187170 513164188 641455235 805330660 976374340 1282910470 2565820940 5516515021 11033030042 22066060084 27582575105 55165150210 110330300420