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1100200002200 = 2352133739113173
BaseRepresentation
bin10000000000101001000…
…001111100001010011000
310220011210211101221011122
4100000221001330022120
5121011202200032300
62201231440144412
7142325660501225
oct20005101741230
93804724357148
101100200002200
11394657245672
12159286908108
137c996363580
143b36dc8a94c
151d94330ac85
hex1002907c298

1100200002200 has 96 divisors (see below), whose sum is σ = 2755492647600. Its totient is φ = 406115458560.

The previous prime is 1100200002193. The next prime is 1100200002203. The reversal of 1100200002200 is 22000020011.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100200002203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9664814 + ... + 9777986.

Almost surely, 21100200002200 is an apocalyptic number.

1100200002200 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 1100200002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1377746323800).

1100200002200 is an abundant number, since it is smaller than the sum of its proper divisors (1655292645400).

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

1100200002200 is a wasteful number, since it uses less digits than its factorization.

1100200002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116941 (or 116932 counting only the distinct ones).

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

Adding to 1100200002200 its reverse (22000020011), we get a palindrome (1122200022211).

The spelling of 1100200002200 in words is "one trillion, one hundred billion, two hundred million, two thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 3739 7478 14956 18695 29912 37390 48607 74780 93475 97214 113173 149560 186950 194428 226346 243035 373900 388856 452692 486070 565865 747800 905384 972140 1131730 1215175 1471249 1944280 2263460 2430350 2829325 2942498 4526920 4860700 5658650 5884996 7356245 9721400 11317300 11769992 14712490 22634600 29424980 36781225 58849960 73562450 147124900 294249800 423153847 846307694 1692615388 2115769235 3385230776 4231538470 5501000011 8463076940 10578846175 11002000022 16926153880 21157692350 22004000044 27505000055 42315384700 44008000088 55010000110 84630769400 110020000220 137525000275 220040000440 275050000550 550100001100 1100200002200