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201320100300 = 223521179772229
BaseRepresentation
bin1011101101111110011…
…1001111000111001100
3201020122100021201200010
42323133213033013030
511244300421202200
6232252444233220
720354620421634
oct2733747170714
9636570251603
10201320100300
1178419a48090
123302583b810
1315ca4974107
149a5b5556c4
1553842d5150
hex2edf9cf1cc

201320100300 has 144 divisors (see below), whose sum is σ = 643483814400. Its totient is φ = 48187027200.

The previous prime is 201320100299. The next prime is 201320100301. The reversal of 201320100300 is 3001023102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (201320100299) and next prime (201320100301).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (201320100301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125415 + ... + 646814.

It is an arithmetic number, because the mean of its divisors is an integer number (4468637600).

Almost surely, 2201320100300 is an apocalyptic number.

201320100300 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 201320100300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321741907200).

201320100300 is an abundant number, since it is smaller than the sum of its proper divisors (442163714100).

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

201320100300 is a wasteful number, since it uses less digits than its factorization.

201320100300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772336 (or 772329 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 201320100300 its reverse (3001023102), we get a palindrome (204321123402).

The spelling of 201320100300 in words is "two hundred one billion, three hundred twenty million, one hundred thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 79 100 110 132 150 158 165 220 237 275 300 316 330 395 474 550 660 790 825 869 948 1100 1185 1580 1650 1738 1975 2370 2607 3300 3476 3950 4345 4740 5214 5925 7900 8690 10428 11850 13035 17380 21725 23700 26070 43450 52140 65175 86900 130350 260700 772229 1544458 2316687 3088916 3861145 4633374 7722290 8494519 9266748 11583435 15444580 16989038 19305725 23166870 25483557 33978076 38611450 42472595 46333740 50967114 57917175 61006091 77222900 84945190 101934228 115834350 122012182 127417785 169890380 183018273 212362975 231668700 244024364 254835570 305030455 366036546 424725950 509671140 610060910 637088925 671067001 732073092 849451900 915091365 1220121820 1274177850 1342134002 1525152275 1830182730 2013201003 2548355700 2684268004 3050304550 3355335005 3660365460 4026402006 4575456825 6100609100 6710670010 8052804012 9150913650 10066005015 13421340020 16776675025 18301827300 20132010030 33553350050 40264020060 50330025075 67106700100 100660050150 201320100300