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2321442010100 = 225279811136229
BaseRepresentation
bin100001110010000000101…
…110011111001111110100
322012221001021200211221102
4201302000232133033310
5301013303123310400
64534242234505232
7326501332336403
oct41620056371764
98187037624842
102321442010100
11815577549694
12315ab2295218
1313abac737b05
148050360363a
15405bcce99d5
hex21c80b9f3f4

2321442010100 has 72 divisors (see below), whose sum is σ = 5102065113600. Its totient is φ = 916684329600.

The previous prime is 2321442010051. The next prime is 2321442010127. The reversal of 2321442010100 is 10102441232.

2321442010100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 64058786 + ... + 64095014.

Almost surely, 22321442010100 is an apocalyptic number.

2321442010100 is a gapful number since it is divisible by the number (20) 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 2321442010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2551032556800).

2321442010100 is an abundant number, since it is smaller than the sum of its proper divisors (2780623103500).

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

2321442010100 is a wasteful number, since it uses less digits than its factorization.

2321442010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44433 (or 44426 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 2321442010100 its reverse (10102441232), we get a palindrome (2331544451332).

The spelling of 2321442010100 in words is "two trillion, three hundred twenty-one billion, four hundred forty-two million, ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 79 100 158 316 395 790 1580 1975 3950 7900 8111 16222 32444 36229 40555 72458 81110 144916 162220 181145 202775 362290 405550 640769 724580 811100 905725 1281538 1811450 2563076 2862091 3203845 3622900 5724182 6407690 11448364 12815380 14310455 16019225 28620910 32038450 57241820 64076900 71552275 143104550 286209100 293853419 587706838 1175413676 1469267095 2938534190 5877068380 7346335475 14692670950 23214420101 29385341900 46428840202 92857680404 116072100505 232144201010 464288402020 580360502525 1160721005050 2321442010100