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1001122001112 = 233160925925057
BaseRepresentation
bin11101001000101111000…
…01010111000011011000
310112201001220122222122210
432210113201113003120
5112400244213013422
62043524210515120
7132220510414212
oct16442741270330
93481056588583
101001122001112
113566342a7a42
12142035895aa0
137353688071c
14366514715b2
151b094ee610c
hexe9178570d8

1001122001112 has 32 divisors (see below), whose sum is σ = 2504360602800. Its totient is φ = 333499920384.

The previous prime is 1001122001107. The next prime is 1001122001189. The reversal of 1001122001112 is 2111002211001.

It is a super-2 number, since 2×10011220011122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12923913 + ... + 13001144.

Almost surely, 21001122001112 is an apocalyptic number.

1001122001112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1001122001112 is an abundant number, since it is smaller than the sum of its proper divisors (1503238601688).

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

1001122001112 is a wasteful number, since it uses less digits than its factorization.

1001122001112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25926675 (or 25926671 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1001122001112 its reverse (2111002211001), we get a palindrome (3112124212113).

The spelling of 1001122001112 in words is "one trillion, one billion, one hundred twenty-two million, one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 1609 3218 4827 6436 9654 12872 19308 38616 25925057 51850114 77775171 103700228 155550342 207400456 311100684 622201368 41713416713 83426833426 125140250139 166853666852 250280500278 333707333704 500561000556 1001122001112