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1009111092 = 2231117449693
BaseRepresentation
bin111100001001011…
…101000000110100
32121022211011011220
4330021131000310
54031313023332
6244044430340
734002205563
oct7411350064
92538734156
101009111092
11478687110
12241b483b0
131310aa272
149803dbda
155d8d0d2c
hex3c25d034

1009111092 has 48 divisors (see below), whose sum is σ = 2719749312. Its totient is φ = 287802880.

The previous prime is 1009111091. The next prime is 1009111121. The reversal of 1009111092 is 2901119001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1009111091) 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 15 ways as a sum of consecutive naturals, for example, 222603 + ... + 227090.

It is an arithmetic number, because the mean of its divisors is an integer number (56661444).

Almost surely, 21009111092 is an apocalyptic number.

1009111092 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1009111092 is an abundant number, since it is smaller than the sum of its proper divisors (1710638220).

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

1009111092 is a wasteful number, since it uses less digits than its factorization.

1009111092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449728 (or 449726 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 24.

The square root of 1009111092 is about 31766.5089677793. The cubic root of 1009111092 is about 1003.0278535167.

It can be divided in two parts, 1009 and 111092, that added together give a triangular number (112101 = T473).

The spelling of 1009111092 in words is "one billion, nine million, one hundred eleven thousand, ninety-two".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 374 561 748 1122 2244 449693 899386 1349079 1798772 2698158 4946623 5396316 7644781 9893246 14839869 15289562 19786492 22934343 29679738 30579124 45868686 59359476 84092591 91737372 168185182 252277773 336370364 504555546 1009111092