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111010001001020 = 225112119072636633
BaseRepresentation
bin11001001111011010000111…
…101011010001101000111100
3112120001110012211121200212022
4121033122013223101220330
5104022241440224013040
61032033142422255312
732245131211420142
oct3117320753215074
9476043184550768
10111010001001020
113240a0935a4190
121054a594887538
1349c3276517c84
141d5acac6cb592
15cc7958e836b5
hex64f687ad1a3c

111010001001020 has 96 divisors (see below), whose sum is σ = 255800915225856. Its totient is φ = 40131648345600.

The previous prime is 111010001000999. The next prime is 111010001001047. The reversal of 111010001001020 is 20100100010111.

It is a happy number.

It is a super-2 number, since 2×1110100010010202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 111010001000989 and 111010001001007.

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, 40784624 + ... + 43421256.

It is an arithmetic number, because the mean of its divisors is an integer number (2664592866936).

Almost surely, 2111010001001020 is an apocalyptic number.

111010001001020 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 111010001001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127900457612928).

111010001001020 is an abundant number, since it is smaller than the sum of its proper divisors (144790914224836).

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

111010001001020 is a wasteful number, since it uses less digits than its factorization.

111010001001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2637771 (or 2637769 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 111010001001020 its reverse (20100100010111), we get a palindrome (131110101011131).

Subtracting from 111010001001020 its reverse (20100100010111), we obtain a palindrome (90909900990909).

The spelling of 111010001001020 in words is "one hundred eleven trillion, ten billion, one million, one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 211 220 422 844 907 1055 1814 2110 2321 3628 4220 4535 4642 9070 9284 9977 11605 18140 19954 23210 39908 46420 49885 99770 191377 199540 382754 765508 956885 1913770 2105147 2636633 3827540 4210294 5273266 8420588 10525735 10546532 13183165 21051470 26366330 29002963 42102940 52732660 58005926 116011852 145014815 290029630 556329563 580059260 1112659126 2225318252 2391426131 2781647815 4782852262 5563295630 6119625193 9565704524 11126591260 11957130655 12239250386 23914261310 24478500772 26305687441 30598125965 47828522620 52611374882 61196251930 105222749764 122392503860 131528437205 263056874410 504590913641 526113748820 1009181827282 2018363654564 2522954568205 5045909136410 5550500050051 10091818272820 11101000100102 22202000200204 27752500250255 55505000500510 111010001001020