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1122131340 = 2233511188911
BaseRepresentation
bin100001011100010…
…0101110110001100
32220012111011211000
41002320211312030
54244231200330
6303203100300
736543646641
oct10270456614
92805434730
101122131340
11526460980
12273971690
1314b62c255
14a905ddc8
15687a8560
hex42e25d8c

1122131340 has 96 divisors (see below), whose sum is σ = 3808465920. Its totient is φ = 272030400.

The previous prime is 1122131333. The next prime is 1122131341. The reversal of 1122131340 is 431312211.

1122131340 is a `hidden beast` number, since 112 + 213 + 1 + 340 = 666.

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 (1122131341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88516 + ... + 100395.

It is an arithmetic number, because the mean of its divisors is an integer number (39671520).

Almost surely, 21122131340 is an apocalyptic number.

1122131340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1122131340 is an abundant number, since it is smaller than the sum of its proper divisors (2686334580).

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

1122131340 is a wasteful number, since it uses less digits than its factorization.

1122131340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188940 (or 188932 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1122131340 is about 33498.2289084065. The cubic root of 1122131340 is about 1039.1571511862.

Adding to 1122131340 its reverse (431312211), we get a palindrome (1553443551).

The spelling of 1122131340 in words is "one billion, one hundred twenty-two million, one hundred thirty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 5940 188911 377822 566733 755644 944555 1133466 1700199 1889110 2078021 2266932 2833665 3400398 3778220 4156042 5100597 5667330 6234063 6800796 8312084 8500995 10201194 10390105 11334660 12468126 17001990 18702189 20402388 20780210 24936252 25502985 31170315 34003980 37404378 41560420 51005970 56106567 62340630 74808756 93510945 102011940 112213134 124681260 187021890 224426268 280532835 374043780 561065670 1122131340