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201322001300 = 22527631455789
BaseRepresentation
bin1011101101111110111…
…0011111001110010100
3201020122110212022100112
42323133232133032110
511244301413020200
6232252553102152
720354642530130
oct2733756371624
9636573768315
10201322001300
1178420026362
12330263b7958
1315ca518b474
149a5b8cc3c0
15538455d535
hex2edfb9f394

201322001300 has 72 divisors (see below), whose sum is σ = 500070910080. Its totient is φ = 68915145600.

The previous prime is 201322001299. The next prime is 201322001329. The reversal of 201322001300 is 3100223102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 213806 + ... + 669594.

Almost surely, 2201322001300 is an apocalyptic number.

201322001300 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 201322001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250035455040).

201322001300 is an abundant number, since it is smaller than the sum of its proper divisors (298748908780).

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

201322001300 is a wasteful number, since it uses less digits than its factorization.

201322001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456441 (or 456434 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 201322001300 its reverse (3100223102), we get a palindrome (204422224402).

The spelling of 201322001300 in words is "two hundred one billion, three hundred twenty-two million, one thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 631 700 1262 2524 3155 4417 6310 8834 12620 15775 17668 22085 31550 44170 63100 88340 110425 220850 441700 455789 911578 1823156 2278945 3190523 4557890 6381046 9115780 11394725 12762092 15952615 22789450 31905230 45578900 63810460 79763075 159526150 287602859 319052300 575205718 1150411436 1438014295 2013220013 2876028590 4026440026 5752057180 7190071475 8052880052 10066100065 14380142950 20132200130 28760285900 40264400260 50330500325 100661000650 201322001300