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1123013000 = 23531497537
BaseRepresentation
bin100001011101111…
…1101000110001000
32220021010222020002
41002323331012020
54244442404000
6303234022132
736554311244
oct10273750610
92807128202
101123013000
11526a0331a
12274117948
1314b87a645
14a920d424
15688ce8d5
hex42efd188

1123013000 has 64 divisors (see below), whose sum is σ = 2645838000. Its totient is φ = 446131200.

The previous prime is 1123012999. The next prime is 1123013009. The reversal of 1123013000 is 3103211.

It can be written as a sum of positive squares in 8 ways, for example, as 5982916 + 1117030084 = 2446^2 + 33422^2 .

It is a super-2 number, since 2×11230130002 = 2522316396338000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1123013009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145232 + ... + 152768.

Almost surely, 21123013000 is an apocalyptic number.

1123013000 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 1123013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1322919000).

1123013000 is an abundant number, since it is smaller than the sum of its proper divisors (1522825000).

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

1123013000 is a wasteful number, since it uses less digits than its factorization.

1123013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7707 (or 7693 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 1123013000 is about 33511.3861247189. The cubic root of 1123013000 is about 1039.4292356316.

Adding to 1123013000 its reverse (3103211), we get a palindrome (1126116211).

The spelling of 1123013000 in words is "one billion, one hundred twenty-three million, thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 149 200 250 298 500 596 745 1000 1192 1490 2980 3725 5960 7450 7537 14900 15074 18625 29800 30148 37250 37685 60296 74500 75370 149000 150740 188425 301480 376850 753700 942125 1123013 1507400 1884250 2246026 3768500 4492052 5615065 7537000 8984104 11230130 22460260 28075325 44920520 56150650 112301300 140376625 224602600 280753250 561506500 1123013000