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112202220001 = 2933770916193
BaseRepresentation
bin110100001111111000…
…1100000000111100001
3101201121120021100021211
41220133301200013201
53314242232020001
6123313414550121
711051322063634
oct1503761400741
9351546240254
10112202220001
1143648256643
12198b4368341
13a771827b71
14560587bc1b
152dba602351
hex1a1fc601e1

112202220001 has 16 divisors (see below), whose sum is σ = 116587083600. Its totient is φ = 107852709888.

The previous prime is 112202219999. The next prime is 112202220061. The reversal of 112202220001 is 100022202211.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 30813601 + 112171406400 = 5551^2 + 334920^2 .

It is a cyclic number.

It is not a de Polignac number, because 112202220001 - 21 = 112202219999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112202220061) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6920961 + ... + 6937153.

It is an arithmetic number, because the mean of its divisors is an integer number (7286692725).

Almost surely, 2112202220001 is an apocalyptic number.

It is an amenable number.

112202220001 is a deficient number, since it is larger than the sum of its proper divisors (4384863599).

112202220001 is a wasteful number, since it uses less digits than its factorization.

112202220001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17268.

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

Adding to 112202220001 its reverse (100022202211), we get a palindrome (212224422212).

The spelling of 112202220001 in words is "one hundred twelve billion, two hundred two million, two hundred twenty thousand, one".

Divisors: 1 29 337 709 9773 16193 20561 238933 469597 5457041 6929057 11480837 158254189 332944273 3869042069 112202220001