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1330023100 = 2252715112583
BaseRepresentation
bin100111101000110…
…1000101010111100
310102200200011200211
41033101220222330
510210441214400
6335551002204
744650003240
oct11721505274
93380604624
101330023100
1162284404a
12311509364
1318271a623
14c88d8420
157bb70dba
hex4f468abc

1330023100 has 72 divisors (see below), whose sum is σ = 3320565248. Its totient is φ = 452952000.

The previous prime is 1330023083. The next prime is 1330023109. The reversal of 1330023100 is 13200331.

It is a super-2 number, since 2×13300231002 = 3537922893067220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330023109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99409 + ... + 111991.

Almost surely, 21330023100 is an apocalyptic number.

1330023100 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 1330023100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660282624).

1330023100 is an abundant number, since it is smaller than the sum of its proper divisors (1990542148).

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

1330023100 is a wasteful number, since it uses less digits than its factorization.

1330023100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12755 (or 12748 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 1330023100 is about 36469.4817621529. The cubic root of 1330023100 is about 1099.7308156752.

Adding to 1330023100 its reverse (13200331), we get a palindrome (1343223431).

The spelling of 1330023100 in words is "one billion, three hundred thirty million, twenty-three thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 151 175 302 350 604 700 755 1057 1510 2114 3020 3775 4228 5285 7550 10570 12583 15100 21140 25166 26425 50332 52850 62915 88081 105700 125830 176162 251660 314575 352324 440405 629150 880810 1258300 1761620 1900033 2202025 3800066 4404050 7600132 8808100 9500165 13300231 19000330 26600462 38000660 47500825 53200924 66501155 95001650 133002310 190003300 266004620 332505775 665011550 1330023100