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13323300100 = 22521182314717
BaseRepresentation
bin11000110100010000…
…10110110100000100
31021101112010202211021
430122020112310010
5204241231100400
610042020320524
7651110116345
oct143210266404
937345122737
1013323300100
115717723620
1226b9b43144
13134436a036
149056860cc
1552ea1471a
hex31a216d04

13323300100 has 72 divisors (see below), whose sum is σ = 31580353728. Its totient is φ = 4838620800.

The previous prime is 13323300083. The next prime is 13323300119. The reversal of 13323300100 is 100332331.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 897942 + ... + 912658.

It is an arithmetic number, because the mean of its divisors is an integer number (438616024).

Almost surely, 213323300100 is an apocalyptic number.

13323300100 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 13323300100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15790176864).

13323300100 is an abundant number, since it is smaller than the sum of its proper divisors (18257053628).

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

13323300100 is a wasteful number, since it uses less digits than its factorization.

13323300100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15565 (or 15558 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 13323300100 its reverse (100332331), we get a palindrome (13423632431).

The spelling of 13323300100 in words is "thirteen billion, three hundred twenty-three million, three hundred thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 823 1100 1646 3292 4115 8230 9053 14717 16460 18106 20575 29434 36212 41150 45265 58868 73585 82300 90530 147170 161887 181060 226325 294340 323774 367925 452650 647548 735850 809435 905300 1471700 1618870 3237740 4047175 8094350 12112091 16188700 24224182 48448364 60560455 121120910 133233001 242241820 266466002 302802275 532932004 605604550 666165005 1211209100 1332330010 2664660020 3330825025 6661650050 13323300100