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1123010020 = 2251114934259
BaseRepresentation
bin100001011101111…
…1100010111100100
32220021010211010201
41002323330113210
54244442310040
6303234000244
736554266456
oct10273742744
92807124121
101123010020
11526a01060
12274116084
1314b879192
14a920c2d6
15688cda9a
hex42efc5e4

1123010020 has 48 divisors (see below), whose sum is σ = 2590056000. Its totient is φ = 405614720.

The previous prime is 1123009957. The next prime is 1123010023. The reversal of 1123010020 is 200103211.

It is a super-2 number, since 2×11230100202 = 2522303010040800800, 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 = 1123009979 and 1123010006.

It is not an unprimeable number, because it can be changed into a prime (1123010023) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 15651 + ... + 49909.

It is an arithmetic number, because the mean of its divisors is an integer number (53959500).

Almost surely, 21123010020 is an apocalyptic number.

1123010020 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 1123010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1295028000).

1123010020 is an abundant number, since it is smaller than the sum of its proper divisors (1467045980).

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

1123010020 is a wasteful number, since it uses less digits than its factorization.

1123010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34428 (or 34426 counting only the distinct ones).

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

The square root of 1123010020 is about 33511.3416621895. The cubic root of 1123010020 is about 1039.4283162294.

Adding to 1123010020 its reverse (200103211), we get a palindrome (1323113231).

The spelling of 1123010020 in words is "one billion, one hundred twenty-three million, ten thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 149 220 298 596 745 1490 1639 2980 3278 6556 8195 16390 32780 34259 68518 137036 171295 342590 376849 685180 753698 1507396 1884245 3768490 5104591 7536980 10209182 20418364 25522955 51045910 56150501 102091820 112301002 224602004 280752505 561505010 1123010020