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13323444100 = 22521915794441
BaseRepresentation
bin11000110100010001…
…11001111110000100
31021101112102002100121
430122020321332010
5204241300202400
610042023351324
7651111256231
oct143210717604
937345362317
1013323444100
11571781182a
1226b9bb2544
1313443ba745
149056c2788
1552ea4221a
hex31a239f84

13323444100 has 72 divisors (see below), whose sum is σ = 30459682400. Its totient is φ = 5044550400.

The previous prime is 13323444067. The next prime is 13323444149. The reversal of 13323444100 is 144432331.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2997880 + ... + 3002320.

Almost surely, 213323444100 is an apocalyptic number.

13323444100 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 13323444100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15229841200).

13323444100 is an abundant number, since it is smaller than the sum of its proper divisors (17136238300).

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

13323444100 is a wasteful number, since it uses less digits than its factorization.

13323444100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6053 (or 6046 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 13323444100 its reverse (144432331), we get a palindrome (13467876431).

The spelling of 13323444100 in words is "thirteen billion, three hundred twenty-three million, four hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 950 1579 1900 3158 4441 6316 7895 8882 15790 17764 22205 30001 31580 39475 44410 60002 78950 84379 88820 111025 120004 150005 157900 168758 222050 300010 337516 421895 444100 600020 750025 843790 1500050 1687580 2109475 3000100 4218950 7012339 8437900 14024678 28049356 35061695 70123390 133234441 140246780 175308475 266468882 350616950 532937764 666172205 701233900 1332344410 2664688820 3330861025 6661722050 13323444100