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1123000120 = 2351113119483
BaseRepresentation
bin100001011101111…
…1001111100111000
32220021010022120001
41002323321330320
54244442000440
6303233442344
736554225554
oct10273717470
92807108501
101123000120
115269a4680
122741103b4
1314b874818
14a9208864
15688cab9a
hex42ef9f38

1123000120 has 64 divisors (see below), whose sum is σ = 2777639040. Its totient is φ = 405225600.

The previous prime is 1123000117. The next prime is 1123000133. The reversal of 1123000120 is 210003211.

It is a super-2 number, since 2×11230001202 = 2522258539040028800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1123000097 and 1123000106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47899 + ... + 67381.

It is an arithmetic number, because the mean of its divisors is an integer number (43400610).

Almost surely, 21123000120 is an apocalyptic number.

1123000120 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 1123000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388819520).

1123000120 is an abundant number, since it is smaller than the sum of its proper divisors (1654638920).

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

1123000120 is a wasteful number, since it uses less digits than its factorization.

1123000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19636 (or 19632 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1123000120 is about 33511.1939506786. The cubic root of 1123000120 is about 1039.4252618279.

Adding to 1123000120 its reverse (210003211), we get a palindrome (1333003331).

The spelling of 1123000120 in words is "one billion, one hundred twenty-three million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 131 220 262 440 524 655 1048 1310 1441 2620 2882 5240 5764 7205 11528 14410 19483 28820 38966 57640 77932 97415 155864 194830 214313 389660 428626 779320 857252 1071565 1714504 2143130 2552273 4286260 5104546 8572520 10209092 12761365 20418184 25522730 28075003 51045460 56150006 102090920 112300012 140375015 224600024 280750030 561500060 1123000120