Search a number
-
+
1110122021100 = 2235210374348353
BaseRepresentation
bin10000001001111000011…
…011011100000011101100
310221010102022102201100010
4100021320123130003230
5121142012214133400
62205552155333220
7143126600326101
oct20117033340354
93833368381303
101110122021100
11398888a38294
1215b195751210
13808b7b49581
143ba31910aa8
151dd24413450
hex102786dc0ec

1110122021100 has 144 divisors (see below), whose sum is σ = 3247569142272. Its totient is φ = 292757821440.

The previous prime is 1110122021089. The next prime is 1110122021117. The reversal of 1110122021100 is 11202210111.

It is a super-2 number, since 2×11101220211002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 22934524 + ... + 22982876.

It is an arithmetic number, because the mean of its divisors is an integer number (22552563488).

Almost surely, 21110122021100 is an apocalyptic number.

1110122021100 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 1110122021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1623784571136).

1110122021100 is an abundant number, since it is smaller than the sum of its proper divisors (2137447121172).

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

1110122021100 is a wasteful number, since it uses less digits than its factorization.

1110122021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49216 (or 49209 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1110122021100 its reverse (11202210111), we get a palindrome (1121324231211).

The spelling of 1110122021100 in words is "one trillion, one hundred ten billion, one hundred twenty-two million, twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 103 150 206 300 309 412 515 618 743 1030 1236 1486 1545 2060 2229 2575 2972 3090 3715 4458 5150 6180 7430 7725 8916 10300 11145 14860 15450 18575 22290 30900 37150 44580 48353 55725 74300 76529 96706 111450 145059 153058 193412 222900 229587 241765 290118 306116 382645 459174 483530 580236 725295 765290 918348 967060 1147935 1208825 1450590 1530580 1913225 2295870 2417650 2901180 3626475 3826450 4591740 4835300 4980359 5739675 7252950 7652900 9960718 11479350 14505900 14941077 19921436 22958700 24901795 29882154 35926279 49803590 59764308 71852558 74705385 99607180 107778837 124508975 143705116 149410770 179631395 215557674 249017950 298821540 359262790 373526925 431115348 498035900 538894185 718525580 747053850 898156975 1077788370 1494107700 1796313950 2155576740 2694470925 3592627900 3700406737 5388941850 7400813474 10777883700 11101220211 14801626948 18502033685 22202440422 37004067370 44404880844 55506101055 74008134740 92510168425 111012202110 185020336850 222024404220 277530505275 370040673700 555061010550 1110122021100