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1100200011020 = 2251133749130223
BaseRepresentation
bin10000000000101001000…
…001111110010100001100
310220011210211102101021022
4100000221001332110030
5121011202200323040
62201231440253312
7142325660536025
oct20005101762414
93804724371238
101100200011020
11394657251260
12159286911238
137c9963675a6
143b36dc8dc4c
151d94330d6b5
hex1002907e50c

1100200011020 has 96 divisors (see below), whose sum is σ = 2533169673216. Its totient is φ = 398060006400.

The previous prime is 1100200011007. The next prime is 1100200011023. The reversal of 1100200011020 is 201100020011.

It is a junction number, because it is equal to n+sod(n) for n = 1100200010989 and 1100200011007.

It is not an unprimeable number, because it can be changed into a prime (1100200011023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36387629 + ... + 36417851.

It is an arithmetic number, because the mean of its divisors is an integer number (26387184096).

Almost surely, 21100200011020 is an apocalyptic number.

1100200011020 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 1100200011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1266584836608).

1100200011020 is an abundant number, since it is smaller than the sum of its proper divisors (1432969662196).

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

1100200011020 is a wasteful number, since it uses less digits than its factorization.

1100200011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31071 (or 31069 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1100200011020 its reverse (201100020011), we get a palindrome (1301300031031).

The spelling of 1100200011020 in words is "one trillion, one hundred billion, two hundred million, eleven thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 337 491 674 982 1348 1685 1964 2455 3370 3707 4910 5401 6740 7414 9820 10802 14828 18535 21604 27005 30223 37070 54010 60446 74140 108020 120892 151115 165467 302230 330934 332453 604460 661868 664906 827335 1329812 1654670 1662265 1820137 3309340 3324530 3640274 6649060 7280548 9100685 10185151 14839493 18201370 20370302 29678986 36402740 40740604 50925755 59357972 74197465 101851510 112036661 148394930 163234423 203703020 224073322 296789860 326468846 448146644 560183305 652937692 816172115 1120366610 1632344230 2240733220 3264688460 5000909141 10001818282 20003636564 25004545705 50009091410 55010000551 100018182820 110020001102 220040002204 275050002755 550100005510 1100200011020