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1122102200200 = 23525610511001
BaseRepresentation
bin10000010101000010100…
…000001100011110001000
310222021100020020212112011
4100111002200030132020
5121341031130401300
62215253040225304
7144032511221002
oct20250240143610
93867306225464
101122102200200
113a2976491153
1216157990b234
1381a76b61347
143c44aa4d372
151e2c606aeba
hex1054280c788

1122102200200 has 24 divisors (see below), whose sum is σ = 2608887615930. Its totient is φ = 448840880000.

The previous prime is 1122102200137. The next prime is 1122102200213. The reversal of 1122102200200 is 20022012211.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 419056843716 + 703045356484 = 647346^2 + 838478^2 .

It is a super-3 number, since 3×11221022002003 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 2805255301 + ... + 2805255700.

Almost surely, 21122102200200 is an apocalyptic number.

1122102200200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1122102200200 is an abundant number, since it is smaller than the sum of its proper divisors (1486785415730).

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

1122102200200 is a wasteful number, since it uses less digits than its factorization.

1122102200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5610511017 (or 5610511008 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1122102200200 its reverse (20022012211), we get a palindrome (1142124212411).

The spelling of 1122102200200 in words is "one trillion, one hundred twenty-two billion, one hundred two million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 5610511001 11221022002 22442044004 28052555005 44884088008 56105110010 112210220020 140262775025 224420440040 280525550050 561051100100 1122102200200