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110323013020 = 225112328437669
BaseRepresentation
bin110011010111111000…
…0111001010110011100
3101112202121012201221021
41212233300321112130
53301420142404040
6122403125013524
710653623065243
oct1465760712634
9345677181837
10110323013020
1142873512620
121946ab542a4
13a5323c467c
1454a806795a
152d0a65024a
hex19afc3959c

110323013020 has 96 divisors (see below), whose sum is σ = 263855854080. Its totient is φ = 38354722560.

The previous prime is 110323012981. The next prime is 110323013033. The reversal of 110323013020 is 20310323011.

It is a super-2 number, since 2×1103230130202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110323012985 and 110323013003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14381746 + ... + 14389414.

It is an arithmetic number, because the mean of its divisors is an integer number (2748498480).

Almost surely, 2110323013020 is an apocalyptic number.

110323013020 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 110323013020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131927927040).

110323013020 is an abundant number, since it is smaller than the sum of its proper divisors (153532841060).

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

110323013020 is a wasteful number, since it uses less digits than its factorization.

110323013020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10555 (or 10553 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 110323013020 its reverse (20310323011), we get a palindrome (130633336031).

The spelling of 110323013020 in words is "one hundred ten billion, three hundred twenty-three million, thirteen thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 460 506 1012 1265 2530 2843 5060 5686 7669 11372 14215 15338 28430 30676 31273 38345 56860 62546 65389 76690 84359 125092 130778 153380 156365 168718 176387 261556 312730 326945 337436 352774 421795 625460 653890 705548 719279 843590 881935 1307780 1438558 1687180 1763870 1940257 2877116 3527740 3596395 3880514 7192790 7761028 9701285 14385580 19402570 21802967 38805140 43605934 87211868 109014835 218029670 239832637 436059340 479665274 501468241 959330548 1002936482 1199163185 2005872964 2398326370 2507341205 4796652740 5014682410 5516150651 10029364820 11032301302 22064602604 27580753255 55161506510 110323013020