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1121132340 = 223451036719
BaseRepresentation
bin100001011010011…
…0001111100110100
32220010121102110000
41002310301330310
54244002213330
6303125431300
736532316256
oct10264617464
92803542400
101121132340
11525939359
1227356b530
1314b36c623
14a8c7dcd6
156865c560
hex42d31f34

1121132340 has 120 divisors (see below), whose sum is σ = 3551708160. Its totient is φ = 296021952.

The previous prime is 1121132333. The next prime is 1121132347. The reversal of 1121132340 is 432311211.

It is an interprime number because it is at equal distance from previous prime (1121132333) and next prime (1121132347).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121132347) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 163501 + ... + 170219.

It is an arithmetic number, because the mean of its divisors is an integer number (29597568).

Almost surely, 21121132340 is an apocalyptic number.

1121132340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121132340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1775854080).

1121132340 is an abundant number, since it is smaller than the sum of its proper divisors (2430575820).

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

1121132340 is a wasteful number, since it uses less digits than its factorization.

1121132340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6843 (or 6832 counting only the distinct ones).

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

The square root of 1121132340 is about 33483.3143520769. The cubic root of 1121132340 is about 1038.8486827750.

Adding to 1121132340 its reverse (432311211), we get a palindrome (1553443551).

The spelling of 1121132340 in words is "one billion, one hundred twenty-one million, one hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 103 108 135 162 180 206 270 309 324 405 412 515 540 618 810 927 1030 1236 1545 1620 1854 2060 2781 3090 3708 4635 5562 6180 6719 8343 9270 11124 13438 13905 16686 18540 20157 26876 27810 33372 33595 40314 41715 55620 60471 67190 80628 83430 100785 120942 134380 166860 181413 201570 241884 302355 362826 403140 544239 604710 692057 725652 907065 1088478 1209420 1384114 1814130 2076171 2176956 2721195 2768228 3460285 3628260 4152342 5442390 6228513 6920570 8304684 10380855 10884780 12457026 13841140 18685539 20761710 24914052 31142565 37371078 41523420 56056617 62285130 74742156 93427695 112113234 124570260 186855390 224226468 280283085 373710780 560566170 1121132340