Search a number
-
+
1013123000 = 23534323561
BaseRepresentation
bin111100011000110…
…000011110111000
32121121100222111002
4330120300132320
54033324414000
6244310424132
734051255241
oct7430603670
92547328432
101013123000
1147a97733a
12243362048
13131b83386
14987a5cc8
155de248d5
hex3c6307b8

1013123000 has 64 divisors (see below), whose sum is σ = 2425943520. Its totient is φ = 395808000.

The previous prime is 1013122987. The next prime is 1013123029. The reversal of 1013123000 is 3213101.

1013123000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 31220 + ... + 54780.

Almost surely, 21013123000 is an apocalyptic number.

1013123000 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 1013123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1212971760).

1013123000 is an abundant number, since it is smaller than the sum of its proper divisors (1412820520).

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

1013123000 is a wasteful number, since it uses less digits than its factorization.

1013123000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23625 (or 23611 counting only the distinct ones).

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

The square root of 1013123000 is about 31829.5931485151. The cubic root of 1013123000 is about 1004.3553368356.

Adding to 1013123000 its reverse (3213101), we get a palindrome (1016336101).

The spelling of 1013123000 in words is "one billion, thirteen million, one hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 125 172 200 215 250 344 430 500 860 1000 1075 1720 2150 4300 5375 8600 10750 21500 23561 43000 47122 94244 117805 188488 235610 471220 589025 942440 1013123 1178050 2026246 2356100 2945125 4052492 4712200 5065615 5890250 8104984 10131230 11780500 20262460 23561000 25328075 40524920 50656150 101312300 126640375 202624600 253280750 506561500 1013123000