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1211132020100 = 225212111320201
BaseRepresentation
bin10001100111111101000…
…110000000010110000100
311021210010212120022202012
4101213331012000112010
5124320344244120400
62324215242233352
7153333660212102
oct21477506002604
94253125508665
101211132020100
114277024a6602
121768857b5858
138a294987452
1442894b62c72
1521787156d35
hex119fd180584

1211132020100 has 18 divisors (see below), whose sum is σ = 2628156483834. Its totient is φ = 484452808000.

The previous prime is 1211132020081. The next prime is 1211132020151. The reversal of 1211132020100 is 10202311121.

It can be written as a sum of positive squares in 3 ways, for example, as 207636971584 + 1003495048516 = 455672^2 + 1001746^2 .

It is a super-2 number, since 2×12111320201002 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6055660001 + ... + 6055660200.

Almost surely, 21211132020100 is an apocalyptic number.

1211132020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1211132020100 is an abundant number, since it is smaller than the sum of its proper divisors (1417024463734).

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

1211132020100 is a wasteful number, since it uses less digits than its factorization.

1211132020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12111320215 (or 12111320208 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 1211132020100 its reverse (10202311121), we get a palindrome (1221334331221).

The spelling of 1211132020100 in words is "one trillion, two hundred eleven billion, one hundred thirty-two million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 12111320201 24222640402 48445280804 60556601005 121113202010 242226404020 302783005025 605566010050 1211132020100