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23138213100 = 22352130759011
BaseRepresentation
bin10101100011001001…
…010001110011101100
32012201112122000022120
4111203021101303230
5334341340304400
614343552112540
71446246365142
oct254311216354
965645560276
1023138213100
1198a3a10a72
124598b35750
1322498c2072
141196dc9592
15906511ca0
hex563251cec

23138213100 has 72 divisors (see below), whose sum is σ = 66998920128. Its totient is φ = 6165364800.

The previous prime is 23138213071. The next prime is 23138213123. The reversal of 23138213100 is 131283132.

It is a super-2 number, since 2×231382131002 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 362595 + ... + 421605.

Almost surely, 223138213100 is an apocalyptic number.

23138213100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23138213100 is an abundant number, since it is smaller than the sum of its proper divisors (43860707028).

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

23138213100 is a wasteful number, since it uses less digits than its factorization.

23138213100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60335 (or 60328 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 23138213100 its reverse (131283132), we get a palindrome (23269496232).

The spelling of 23138213100 in words is "twenty-three billion, one hundred thirty-eight million, two hundred thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1307 2614 3921 5228 6535 7842 13070 15684 19605 26140 32675 39210 59011 65350 78420 98025 118022 130700 177033 196050 236044 295055 354066 392100 590110 708132 885165 1180220 1475275 1770330 2950550 3540660 4425825 5901100 8851650 17703300 77127377 154254754 231382131 308509508 385636885 462764262 771273770 925528524 1156910655 1542547540 1928184425 2313821310 3856368850 4627642620 5784553275 7712737700 11569106550 23138213100