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1000122200031 = 341127109758363
BaseRepresentation
bin11101000110110111110…
…11011010111111011111
310112121111020100211102010
432203123323122333133
5112341222240400111
62043241053402303
7132153650302233
oct16433373327737
93477436324363
101000122200031
113561709aa659
121419b6a99393
13734076b2c56
14365987765c3
151b037353aa6
hexe8dbedafdf

1000122200031 has 32 divisors (see below), whose sum is σ = 1378055282688. Its totient is φ = 644764700160.

The previous prime is 1000122200029. The next prime is 1000122200069. The reversal of 1000122200031 is 1300022210001.

It is not a de Polignac number, because 1000122200031 - 21 = 1000122200029 is a prime.

It is a super-2 number, since 2×10001222000312 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000122200071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17107056 + ... + 17165418.

It is an arithmetic number, because the mean of its divisors is an integer number (43064227584).

Almost surely, 21000122200031 is an apocalyptic number.

1000122200031 is a deficient number, since it is larger than the sum of its proper divisors (377933082657).

1000122200031 is a wasteful number, since it uses less digits than its factorization.

1000122200031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59631.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1000122200031 its reverse (1300022210001), we get a palindrome (2300144410032).

The spelling of 1000122200031 in words is "one trillion, one hundred twenty-two million, two hundred thousand, thirty-one".

Divisors: 1 3 41 123 127 381 1097 3291 5207 15621 44977 58363 134931 139319 175089 417957 2392883 5712079 7178649 7412101 17136237 22236303 64024211 192072633 303896141 911688423 2624992651 7874977953 8131074797 24393224391 333374066677 1000122200031