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1122002431 = 111729206897
BaseRepresentation
bin100001011100000…
…0110010111111111
32220012020121222121
41002320012113333
54244213034211
6303200223411
736542602054
oct10270062777
92805217877
101122002431
11526383040
1227390ab67
1314b5b5684
14a902902b
1568780271
hex42e065ff

1122002431 has 16 divisors (see below), whose sum is σ = 1340699040. Its totient is φ = 926894080.

The previous prime is 1122002389. The next prime is 1122002449. The reversal of 1122002431 is 1342002211.

It is a cyclic number.

It is not a de Polignac number, because 1122002431 - 27 = 1122002303 is a prime.

It is a super-2 number, since 2×11220024312 = 2517778910339819522, which contains 22 as substring.

It is a Duffinian number.

1122002431 is a modest number, since divided by 2431 gives 1122 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122002131) 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, 98026 + ... + 108871.

It is an arithmetic number, because the mean of its divisors is an integer number (83793690).

Almost surely, 21122002431 is an apocalyptic number.

1122002431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1122002431 is a deficient number, since it is larger than the sum of its proper divisors (218696609).

1122002431 is a wasteful number, since it uses less digits than its factorization.

1122002431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206954.

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1122002431 is about 33496.3047364929. The cubic root of 1122002431 is about 1039.1173573183.

Adding to 1122002431 its reverse (1342002211), we get a palindrome (2464004642).

The spelling of 1122002431 in words is "one billion, one hundred twenty-two million, two thousand, four hundred thirty-one".

Divisors: 1 11 17 29 187 319 493 5423 206897 2275867 3517249 6000013 38689739 66000143 102000221 1122002431