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1030123024 = 24717896079
BaseRepresentation
bin111101011001100…
…110111000010000
32122210100200010121
4331121212320100
54102202414044
6250115040024
734345621060
oct7531467020
92583320117
101030123024
11489528747
12248ba0014
13135556168
149ab4d3a0
1560681984
hex3d666e10

1030123024 has 80 divisors (see below), whose sum is σ = 2442700800. Its totient is φ = 410775552.

The previous prime is 1030123013. The next prime is 1030123027. The reversal of 1030123024 is 4203210301.

It is a happy number.

1030123024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10301230242 = 2122306889149809152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1030122989 and 1030123007.

It is not an unprimeable number, because it can be changed into a prime (1030123027) 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, 166417 + ... + 172495.

It is an arithmetic number, because the mean of its divisors is an integer number (30533760).

Almost surely, 21030123024 is an apocalyptic number.

1030123024 is a gapful number since it is divisible by the number (14) 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 1030123024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1221350400).

1030123024 is an abundant number, since it is smaller than the sum of its proper divisors (1412577776).

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

1030123024 is a wasteful number, since it uses less digits than its factorization.

1030123024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6200 (or 6194 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1030123024 is about 32095.5296575707. The cubic root of 1030123024 is about 1009.9418402611.

Adding to 1030123024 its reverse (4203210301), we get a palindrome (5233333325).

The spelling of 1030123024 in words is "one billion, thirty million, one hundred twenty-three thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 89 112 119 136 178 238 272 356 476 623 712 952 1246 1424 1513 1904 2492 3026 4984 6052 6079 9968 10591 12104 12158 21182 24208 24316 42364 42553 48632 84728 85106 97264 103343 169456 170212 206686 340424 413372 541031 680848 723401 826744 1082062 1446802 1653488 2164124 2893604 3787217 4328248 5787208 7574434 8656496 9197527 11574416 15148868 18395054 30297736 36790108 60595472 64382689 73580216 128765378 147160432 257530756 515061512 1030123024