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1123022120 = 2351131281293
BaseRepresentation
bin100001011101111…
…1111010100101000
32220021011102201212
41002323333110220
54244443201440
6303234132252
736554346653
oct10273772450
92807142655
101123022120
11526a0a160
12274121088
1314b88183c
14a921289a
15688d2465
hex42eff528

1123022120 has 128 divisors (see below), whose sum is σ = 2865300480. Its totient is φ = 392448000.

The previous prime is 1123022111. The next prime is 1123022149. The reversal of 1123022120 is 212203211.

It is a happy number.

It is a super-2 number, since 2×11230221202 = 2522357364018588800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1123022095 and 1123022104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3832694 + ... + 3832986.

It is an arithmetic number, because the mean of its divisors is an integer number (22385160).

Almost surely, 21123022120 is an apocalyptic number.

1123022120 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 1123022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432650240).

1123022120 is an abundant number, since it is smaller than the sum of its proper divisors (1742278360).

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

1123022120 is a wasteful number, since it uses less digits than its factorization.

1123022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1123022120 is about 33511.5221975965. The cubic root of 1123022120 is about 1039.4320493624.

Adding to 1123022120 its reverse (212203211), we get a palindrome (1335225331).

The spelling of 1123022120 in words is "one billion, one hundred twenty-three million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 110 124 155 220 248 281 293 310 341 440 562 586 620 682 1124 1172 1240 1364 1405 1465 1705 2248 2344 2728 2810 2930 3091 3223 3410 5620 5860 6182 6446 6820 8711 9083 11240 11720 12364 12892 13640 15455 16115 17422 18166 24728 25784 30910 32230 34844 36332 43555 45415 61820 64460 69688 72664 82333 87110 90830 95821 99913 123640 128920 164666 174220 181660 191642 199826 329332 348440 363320 383284 399652 411665 479105 499565 658664 766568 799304 823330 905663 958210 999130 1646660 1811326 1916420 1998260 2552323 3293320 3622652 3832840 3996520 4528315 5104646 7245304 9056630 10209292 12761615 18113260 20418584 25523230 28075553 36226520 51046460 56151106 102092920 112302212 140377765 224604424 280755530 561511060 1123022120