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110312111042430 = 2351113118114098061
BaseRepresentation
bin11001000101010000001010…
…001100010110111101111110
3112110120201211200112111210020
4121011100022030112331332
5103424323200411324210
61030340403442353010
732143533642561633
oct3105201214267576
9473521750474706
10110312111042430
1132170115941970
121045728695b766
13497250627355b
141d351c572818a
15cb4710278770
hex64540a316f7e

110312111042430 has 128 divisors (see below), whose sum is σ = 292629751045632. Its totient is φ = 26391568320000.

The previous prime is 110312111042407. The next prime is 110312111042437. The reversal of 110312111042430 is 34240111213011.

It is a self number, because there is not a number n which added to its sum of digits gives 110312111042430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110312111042437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 775600 + ... + 14873660.

It is an arithmetic number, because the mean of its divisors is an integer number (2286169930044).

Almost surely, 2110312111042430 is an apocalyptic number.

110312111042430 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 110312111042430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146314875522816).

110312111042430 is an abundant number, since it is smaller than the sum of its proper divisors (182317640003202).

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

110312111042430 is a wasteful number, since it uses less digits than its factorization.

110312111042430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14098394.

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 110312111042430 its reverse (34240111213011), we get a palindrome (144552222255441).

The spelling of 110312111042430 in words is "one hundred ten trillion, three hundred twelve billion, one hundred eleven million, forty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 131 165 181 262 330 362 393 543 655 786 905 1086 1310 1441 1810 1965 1991 2715 2882 3930 3982 4323 5430 5973 7205 8646 9955 11946 14410 19910 21615 23711 29865 43230 47422 59730 71133 118555 142266 237110 260821 355665 521642 711330 782463 1304105 1564926 2608210 3912315 7824630 14098061 28196122 42294183 70490305 84588366 140980610 155078671 211470915 310157342 422941830 465236013 775393355 930472026 1550786710 1846845991 2326180065 2551749041 3693691982 4652360130 5103498082 5540537973 7655247123 9234229955 11081075946 12758745205 15310494246 18468459910 20315305901 25517490410 27702689865 28069239451 38276235615 40630611802 55405379730 56138478902 60945917703 76552471230 84207718353 101576529505 121891835406 140346197255 168415436706 203153059010 280692394510 304729588515 334279124371 421038591765 609459177030 668558248742 842077183530 1002837373113 1671395621855 2005674746226 3342791243710 3677070368081 5014186865565 7354140736162 10028373731130 11031211104243 18385351840405 22062422208486 36770703680810 55156055521215 110312111042430