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1131001092 = 22321317142157
BaseRepresentation
bin100001101101001…
…1011010100000100
32220211011210211100
41003122123110010
54304014013332
6304121140100
740012231164
oct10332332404
92824153740
101131001092
11530469951
1227692a630
13150416520
14aa2cc5a4
156945b67c
hex4369b504

1131001092 has 72 divisors (see below), whose sum is σ = 3259967256. Its totient is φ = 327527424.

The previous prime is 1131001019. The next prime is 1131001097. The reversal of 1131001092 is 2901001311.

It can be written as a sum of positive squares in 4 ways, for example, as 427716 + 1130573376 = 654^2 + 33624^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1131001097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63123 + ... + 79034.

It is an arithmetic number, because the mean of its divisors is an integer number (45277323).

Almost surely, 21131001092 is an apocalyptic number.

1131001092 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1131001092 is an abundant number, since it is smaller than the sum of its proper divisors (2128966164).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1131001092 is a wasteful number, since it uses less digits than its factorization.

1131001092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142197 (or 142192 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The square root of 1131001092 is about 33630.3596769348. The cubic root of 1131001092 is about 1041.8879329031.

The spelling of 1131001092 in words is "one billion, one hundred thirty-one million, one thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 102 117 153 156 204 221 234 306 442 468 612 663 884 1326 1989 2652 3978 7956 142157 284314 426471 568628 852942 1279413 1705884 1848041 2416669 2558826 3696082 4833338 5117652 5544123 7250007 7392164 9666676 11088246 14500014 16632369 21750021 22176492 29000028 31416697 33264738 43500042 62833394 66529476 87000084 94250091 125666788 188500182 282750273 377000364 565500546 1131001092