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1023001030 = 25102300103
BaseRepresentation
bin111100111110011…
…100000111000110
32122021221211121001
4330332130013012
54043342013110
6245302243514
734231236202
oct7476340706
92567854531
101023001030
114855038a7
1224672659a
13133c3156c
1499c17b02
155ec2663a
hex3cf9c1c6

1023001030 has 8 divisors (see below), whose sum is σ = 1841401872. Its totient is φ = 409200408.

The previous prime is 1023001009. The next prime is 1023001033. The reversal of 1023001030 is 301003201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-3 number, since 3×10230010303 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (10), and also a Moran number because the ratio is a prime number: 102300103 = 1023001030 / (1 + 0 + 2 + 3 + 0 + 0 + 1 + 0 + 3 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 1023000998 and 1023001016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023001033) 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 3 ways as a sum of consecutive naturals, for example, 51150042 + ... + 51150061.

It is an arithmetic number, because the mean of its divisors is an integer number (230175234).

Almost surely, 21023001030 is an apocalyptic number.

1023001030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1023001030 is a deficient number, since it is larger than the sum of its proper divisors (818400842).

1023001030 is a wasteful number, since it uses less digits than its factorization.

1023001030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102300110.

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 1023001030 is about 31984.3872850489. The cubic root of 1023001030 is about 1007.6089667807.

Adding to 1023001030 its reverse (301003201), we get a palindrome (1324004231).

The spelling of 1023001030 in words is "one billion, twenty-three million, one thousand, thirty".

Divisors: 1 2 5 10 102300103 204600206 511500515 1023001030