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1122110001 = 321131103353
BaseRepresentation
bin100001011100010…
…0000101000110001
32220012110002112200
41002320200220301
54244230010001
6303202413413
736543530505
oct10270405061
92805402480
101122110001
11526446941
12273961269
1314b62261c
14a9056305
15687a2086
hex42e20a31

1122110001 has 12 divisors (see below), whose sum is σ = 1635170628. Its totient is φ = 741452544.

The previous prime is 1122109997. The next prime is 1122110023. The reversal of 1122110001 is 1000112211.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 306950400 + 815159601 = 17520^2 + 28551^2 .

It is not a de Polignac number, because 1122110001 - 22 = 1122109997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1122110071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 550660 + ... + 552693.

It is an arithmetic number, because the mean of its divisors is an integer number (136264219).

Almost surely, 21122110001 is an apocalyptic number.

It is an amenable number.

1122110001 is a deficient number, since it is larger than the sum of its proper divisors (513060627).

1122110001 is a wasteful number, since it uses less digits than its factorization.

1122110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103472 (or 1103469 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 1122110001 is about 33497.9103975158. The cubic root of 1122110001 is about 1039.1505641038.

Adding to 1122110001 its reverse (1000112211), we get a palindrome (2122222212).

The spelling of 1122110001 in words is "one billion, one hundred twenty-two million, one hundred ten thousand, one".

Divisors: 1 3 9 113 339 1017 1103353 3310059 9930177 124678889 374036667 1122110001