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201301020020300 = 225217377315052907
BaseRepresentation
bin101101110001010100001011…
…110010101000111001001100
3222101202012010012022220121012
4231301110023302220321030
5202341103442111122200
61552044224551424352
760254342635112264
oct5561241362507114
9871665105286535
10201301020020300
1159160312992922
121a6b15a03850b8
1388427b27b2c15
14379d04284c7a4
15184147c7eca35
hexb7150bca8e4c

201301020020300 has 72 divisors (see below), whose sum is σ = 439916600004336. Its totient is φ = 79951402812160.

The previous prime is 201301020020237. The next prime is 201301020020393. The reversal of 201301020020300 is 3020020103102.

It is a happy number.

It is a super-2 number, since 2×2013010200203002 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5846447 + ... + 20899353.

It is an arithmetic number, because the mean of its divisors is an integer number (6109952777838).

Almost surely, 2201301020020300 is an apocalyptic number.

201301020020300 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 201301020020300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219958300002168).

201301020020300 is an abundant number, since it is smaller than the sum of its proper divisors (238615579984036).

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

201301020020300 is a wasteful number, since it uses less digits than its factorization.

201301020020300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15053867 (or 15053860 counting only the distinct ones).

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

Adding to 201301020020300 its reverse (3020020103102), we get a palindrome (204321040123402).

The spelling of 201301020020300 in words is "two hundred one trillion, three hundred one billion, twenty million, twenty thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 173 346 692 773 865 1546 1730 3092 3460 3865 4325 7730 8650 15460 17300 19325 38650 77300 133729 267458 534916 668645 1337290 2674580 3343225 6686450 13372900 15052907 30105814 60211628 75264535 150529070 301058140 376322675 752645350 1505290700 2604152911 5208305822 10416611644 11635897111 13020764555 23271794222 26041529110 46543588444 52083058220 58179485555 65103822775 116358971110 130207645550 232717942220 260415291100 290897427775 581794855550 1163589711100 2013010200203 4026020400406 8052040800812 10065051001015 20130102002030 40260204004060 50325255005075 100650510010150 201301020020300