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1128181131 = 327112147997
BaseRepresentation
bin100001100111110…
…1010110110001011
32220121212112120100
41003033222312023
54302303244011
6303540500443
736646244550
oct10317526613
92817775510
101128181131
11529913200
122759aa723
1314c969acc
14a9b96a27
15690a0d56
hex433ead8b

1128181131 has 36 divisors (see below), whose sum is σ = 2047108336. Its totient is φ = 586064160.

The previous prime is 1128181123. The next prime is 1128181141. The reversal of 1128181131 is 1311818211.

It is not a de Polignac number, because 1128181131 - 23 = 1128181123 is a prime.

It is a super-2 number, since 2×11281811312 = 2545585328688878322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1128181095 and 1128181104.

It is not an unprimeable number, because it can be changed into a prime (1128181141) 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 35 ways as a sum of consecutive naturals, for example, 66376 + ... + 81621.

Almost surely, 21128181131 is an apocalyptic number.

1128181131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1128181131 is a deficient number, since it is larger than the sum of its proper divisors (918927205).

1128181131 is a wasteful number, since it uses less digits than its factorization.

1128181131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148032 (or 148018 counting only the distinct ones).

The product of its digits is 384, while the sum is 27.

The square root of 1128181131 is about 33588.4076877723. The cubic root of 1128181131 is about 1041.0212881173.

Adding to 1128181131 its reverse (1311818211), we get a palindrome (2439999342).

The spelling of 1128181131 in words is "one billion, one hundred twenty-eight million, one hundred eighty-one thousand, one hundred thirty-one".

Divisors: 1 3 7 9 11 21 33 63 77 99 121 231 363 693 847 1089 2541 7623 147997 443991 1035979 1331973 1627967 3107937 4883901 9323811 11395769 14651703 17907637 34187307 53722911 102561921 125353459 161168733 376060377 1128181131