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1121323140 = 2232572338693
BaseRepresentation
bin100001011010110…
…0000100010000100
32220010222010011200
41002311200202010
54244024320030
6303133502500
736534042450
oct10265404204
92803863150
101121323140
11525a59743
12273641a30
1314b408422
14a8ccd660
1568698d60
hex42d60884

1121323140 has 144 divisors (see below), whose sum is σ = 4056369408. Its totient is φ = 245152512.

The previous prime is 1121323139. The next prime is 1121323141. The reversal of 1121323140 is 413231211.

It is an interprime number because it is at equal distance from previous prime (1121323139) and next prime (1121323141).

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 (1121323141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9634 + ... + 48326.

It is an arithmetic number, because the mean of its divisors is an integer number (28169232).

Almost surely, 21121323140 is an apocalyptic number.

1121323140 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 1121323140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2028184704).

1121323140 is an abundant number, since it is smaller than the sum of its proper divisors (2935046268).

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

1121323140 is a wasteful number, since it uses less digits than its factorization.

1121323140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38738 (or 38733 counting only the distinct ones).

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

The square root of 1121323140 is about 33486.1634111763. The cubic root of 1121323140 is about 1038.9076116152.

Adding to 1121323140 its reverse (413231211), we get a palindrome (1534554351).

The spelling of 1121323140 in words is "one billion, one hundred twenty-one million, three hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 23 28 30 35 36 42 45 46 60 63 69 70 84 90 92 105 115 126 138 140 161 180 207 210 230 252 276 315 322 345 414 420 460 483 630 644 690 805 828 966 1035 1260 1380 1449 1610 1932 2070 2415 2898 3220 4140 4830 5796 7245 9660 14490 28980 38693 77386 116079 154772 193465 232158 270851 348237 386930 464316 541702 580395 696474 773860 812553 889939 1083404 1160790 1354255 1392948 1625106 1741185 1779878 2321580 2437659 2669817 2708510 3250212 3482370 3559756 4062765 4449695 4875318 5339634 5417020 6229573 6964740 8009451 8125530 8899390 9750636 10679268 12188295 12459146 13349085 16018902 16251060 17798780 18688719 24376590 24918292 26698170 31147865 32037804 37377438 40047255 48753180 53396340 56066157 62295730 74754876 80094510 93443595 112132314 124591460 160189020 186887190 224264628 280330785 373774380 560661570 1121323140