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1122311141 = 72113202693
BaseRepresentation
bin100001011100101…
…0001101111100101
32220012211022110022
41002321101233211
54244302424031
6303211004525
736545326100
oct10271215745
92805738408
101122311141
11526573a76
12273a39745
1314b693043
14a90a9737
15687e197b
hex42e51be5

1122311141 has 12 divisors (see below), whose sum is σ = 1317105612. Its totient is φ = 953463168.

The previous prime is 1122311131. The next prime is 1122311147. The reversal of 1122311141 is 1411132211.

It can be written as a sum of positive squares in 2 ways, for example, as 44502241 + 1077808900 = 6671^2 + 32830^2 .

It is not a de Polignac number, because 1122311141 - 210 = 1122310117 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122311147) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95810 + ... + 106883.

It is an arithmetic number, because the mean of its divisors is an integer number (109758801).

Almost surely, 21122311141 is an apocalyptic number.

It is an amenable number.

1122311141 is a deficient number, since it is larger than the sum of its proper divisors (194794471).

1122311141 is a wasteful number, since it uses less digits than its factorization.

1122311141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202820 (or 202813 counting only the distinct ones).

The product of its digits is 48, while the sum is 17.

The square root of 1122311141 is about 33500.9125398100. The cubic root of 1122311141 is about 1039.2126501906.

Adding to 1122311141 its reverse (1411132211), we get a palindrome (2533443352).

The spelling of 1122311141 in words is "one billion, one hundred twenty-two million, three hundred eleven thousand, one hundred forty-one".

Divisors: 1 7 49 113 791 5537 202693 1418851 9931957 22904309 160330163 1122311141