Search a number
-
+
1100121002200 = 2352112511992251
BaseRepresentation
bin10000000000100100010…
…100100101000011011000
310220011121022202022112201
4100000210110211003120
5121011021434032300
62201215535015544
7142324011141433
oct20004424450330
93804538668481
101100121002200
11394616697810
1215926436a5b4
137c982b933cc
143b3635a481a
151d93b40366a
hex100245250d8

1100121002200 has 96 divisors (see below), whose sum is σ = 2801425072320. Its totient is φ = 398450000000.

The previous prime is 1100121002191. The next prime is 1100121002209. The reversal of 1100121002200 is 22001210011.

It is an interprime number because it is at equal distance from previous prime (1100121002191) and next prime (1100121002209).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100121002209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 443926 + ... + 1548325.

It is an arithmetic number, because the mean of its divisors is an integer number (29181511170).

Almost surely, 21100121002200 is an apocalyptic number.

1100121002200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100121002200 is an abundant number, since it is smaller than the sum of its proper divisors (1701304070120).

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

1100121002200 is a wasteful number, since it uses less digits than its factorization.

1100121002200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1992529 (or 1992520 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1100121002200 its reverse (22001210011), we get a palindrome (1122122212211).

The spelling of 1100121002200 in words is "one trillion, one hundred billion, one hundred twenty-one million, two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 251 275 440 502 550 1004 1100 1255 2008 2200 2510 2761 5020 5522 6275 10040 11044 12550 13805 22088 25100 27610 50200 55220 69025 110440 138050 276100 552200 1992251 3984502 7969004 9961255 15938008 19922510 21914761 39845020 43829522 49806275 79690040 87659044 99612550 109573805 175318088 199225100 219147610 398450200 438295220 500055001 547869025 876590440 1000110002 1095738050 2000220004 2191476100 2500275005 4000440008 4382952200 5000550010 5500605011 10001100020 11001210022 12501375025 20002200040 22002420044 25002750050 27503025055 44004840088 50005500100 55006050110 100011000200 110012100220 137515125275 220024200440 275030250550 550060501100 1100121002200