Search a number
-
+
201313022301100 = 225217787150469409
BaseRepresentation
bin101101110001011111010111…
…001011101101001110101100
3222101210100002122201221121201
4231301133113023231032230
5202341303032202113400
61552053531542135244
760255246234605503
oct5561372713551654
9871710078657551
10201313022301100
1159165411962056
121a6b398ba21524
138843976265918
14379d8608a183a
15184193136e06a
hexb717d72ed3ac

201313022301100 has 72 divisors (see below), whose sum is σ = 463134010182480. Its totient is φ = 75692131000320.

The previous prime is 201313022301071. The next prime is 201313022301197. The reversal of 201313022301100 is 1103220313102.

It is a super-2 number, since 2×2013130223011002 (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 (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73896805 + ... + 76572604.

It is an arithmetic number, because the mean of its divisors is an integer number (6432416808090).

Almost surely, 2201313022301100 is an apocalyptic number.

201313022301100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201313022301100 is an abundant number, since it is smaller than the sum of its proper divisors (261820987881380).

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

201313022301100 is a wasteful number, since it uses less digits than its factorization.

201313022301100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150470227 (or 150470220 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 201313022301100 its reverse (1103220313102), we get a palindrome (202416242614202).

The spelling of 201313022301100 in words is "two hundred one trillion, three hundred thirteen billion, twenty-two million, three hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 787 850 1574 1700 3148 3935 7870 13379 15740 19675 26758 39350 53516 66895 78700 133790 267580 334475 668950 1337900 150469409 300938818 601877636 752347045 1504694090 2557979953 3009388180 3761735225 5115959906 7523470450 10231919812 12789899765 15046940900 25579799530 51159599060 63949498825 118419424883 127898997650 236838849766 255797995300 473677699532 592097124415 1184194248830 2013130223011 2368388497660 2960485622075 4026260446022 5920971244150 8052520892044 10065651115055 11841942488300 20131302230110 40262604460220 50328255575275 100656511150550 201313022301100