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1131132121 = 72127718077
BaseRepresentation
bin100001101101011…
…1011010011011001
32220211102110120021
41003122323103121
54304032211441
6304124030441
740013315200
oct10332732331
92824373507
101131132121
11530549339
12276992421
13150461062
14aa324237
15694853d1
hex436bb4d9

1131132121 has 12 divisors (see below), whose sum is σ = 1316909988. Its totient is φ = 968728992.

The previous prime is 1131132113. The next prime is 1131132139. The reversal of 1131132121 is 1212311311.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 963792025 + 167340096 = 31045^2 + 12936^2 .

It is not a de Polignac number, because 1131132121 - 23 = 1131132113 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1131132095 and 1131132104.

It is not an unprimeable number, because it can be changed into a prime (1131132161) 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 11 ways as a sum of consecutive naturals, for example, 53535 + ... + 71611.

It is an arithmetic number, because the mean of its divisors is an integer number (109742499).

Almost surely, 21131132121 is an apocalyptic number.

It is an amenable number.

1131132121 is a deficient number, since it is larger than the sum of its proper divisors (185777867).

1131132121 is a wasteful number, since it uses less digits than its factorization.

1131132121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19368 (or 19361 counting only the distinct ones).

The product of its digits is 36, while the sum is 16.

The square root of 1131132121 is about 33632.3076966181. The cubic root of 1131132121 is about 1041.9281663633.

Adding to 1131132121 its reverse (1212311311), we get a palindrome (2343443432).

The spelling of 1131132121 in words is "one billion, one hundred thirty-one million, one hundred thirty-two thousand, one hundred twenty-one".

Divisors: 1 7 49 1277 8939 18077 62573 126539 885773 23084329 161590303 1131132121