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1023013100 = 225216216311
BaseRepresentation
bin111100111110011…
…111000011101100
32122021222110011002
4330332133003230
54043342404400
6245302415432
734231316324
oct7476370354
92567873132
101023013100
1148551197a
12246731578
13133c36bc5
1499c1c284
155ec29ed5
hex3cf9f0ec

1023013100 has 36 divisors (see below), whose sum is σ = 2221659888. Its totient is φ = 408888000.

The previous prime is 1023013091. The next prime is 1023013157. The reversal of 1023013100 is 13103201.

It is a super-2 number, since 2×10230131002 = 2093111605543220000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 158945 + ... + 165255.

Almost surely, 21023013100 is an apocalyptic number.

1023013100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023013100 is an abundant number, since it is smaller than the sum of its proper divisors (1198646788).

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

1023013100 is a wasteful number, since it uses less digits than its factorization.

1023013100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7946 (or 7939 counting only the distinct ones).

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

The square root of 1023013100 is about 31984.5759703017. The cubic root of 1023013100 is about 1007.6129295634.

Adding to 1023013100 its reverse (13103201), we get a palindrome (1036116301).

The spelling of 1023013100 in words is "one billion, twenty-three million, thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1621 3242 6311 6484 8105 12622 16210 25244 31555 32420 40525 63110 81050 126220 157775 162100 315550 631100 10230131 20460262 40920524 51150655 102301310 204602620 255753275 511506550 1023013100