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1121746131 = 331137102079
BaseRepresentation
bin100001011011100…
…0111110011010011
32220011202121102000
41002313013303103
54244131334011
6303150525043
736540453612
oct10267076323
92804677360
101121746131
11526218520
12273806783
1314b525b0c
14a8d9d879
156872e356
hex42dc7cd3

1121746131 has 32 divisors (see below), whose sum is σ = 1861939200. Its totient is φ = 661465440.

The previous prime is 1121746123. The next prime is 1121746159. The reversal of 1121746131 is 1316471211.

It is not a de Polignac number, because 1121746131 - 23 = 1121746123 is a prime.

It is a super-2 number, since 2×11217461312 = 2516628764826938322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1121746095 and 1121746104.

It is not an unprimeable number, because it can be changed into a prime (1121746231) 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 31 ways as a sum of consecutive naturals, for example, 40051 + ... + 62028.

It is an arithmetic number, because the mean of its divisors is an integer number (58185600).

Almost surely, 21121746131 is an apocalyptic number.

1121746131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1121746131 is a deficient number, since it is larger than the sum of its proper divisors (740193069).

1121746131 is a wasteful number, since it uses less digits than its factorization.

1121746131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102136 (or 102130 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 1121746131 is about 33492.4787228416. The cubic root of 1121746131 is about 1039.0382291296.

The spelling of 1121746131 in words is "one billion, one hundred twenty-one million, seven hundred forty-six thousand, one hundred thirty-one".

Divisors: 1 3 9 11 27 33 37 99 111 297 333 407 999 1221 3663 10989 102079 306237 918711 1122869 2756133 3368607 3776923 10105821 11330769 30317463 33992307 41546153 101976921 124638459 373915377 1121746131