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10233101000 = 235324142461
BaseRepresentation
bin10011000011111000…
…01011101011001000
3222102011101101120202
421201330023223020
5131424133213000
64411230511332
7511404631463
oct114174135310
928364341522
1010233101000
114381356271
121b97065548
13c71094065
146d10c02da
153ed5a4dd5
hex261f0bac8

10233101000 has 64 divisors (see below), whose sum is σ = 24045381360. Its totient is φ = 4076160000.

The previous prime is 10233100987. The next prime is 10233101027. The reversal of 10233101000 is 10133201.

It can be written as a sum of positive squares in 8 ways, for example, as 4049795044 + 6183305956 = 63638^2 + 78634^2 .

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, 219770 + ... + 262230.

Almost surely, 210233101000 is an apocalyptic number.

10233101000 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 10233101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12022690680).

10233101000 is an abundant number, since it is smaller than the sum of its proper divisors (13812280360).

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

10233101000 is a wasteful number, since it uses less digits than its factorization.

10233101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42723 (or 42709 counting only the distinct ones).

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

Adding to 10233101000 its reverse (10133201), we get a palindrome (10243234201).

The spelling of 10233101000 in words is "ten billion, two hundred thirty-three million, one hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 241 250 482 500 964 1000 1205 1928 2410 4820 6025 9640 12050 24100 30125 42461 48200 60250 84922 120500 169844 212305 241000 339688 424610 849220 1061525 1698440 2123050 4246100 5307625 8492200 10233101 10615250 20466202 21230500 40932404 42461000 51165505 81864808 102331010 204662020 255827525 409324040 511655050 1023310100 1279137625 2046620200 2558275250 5116550500 10233101000