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23203020201300 = 223252100925551173
BaseRepresentation
bin1010100011010010111111…
…10001101101110101010100
310001011012001101001120220200
411101221133301231311110
511020124241132420200
6121203153105100500
74613235320353422
oct521513761556524
9101135041046820
1023203020201300
117436389002945
122728a98627730
13cc405ca6b264
145a30643ba112
152a386cc83800
hex151a5fc6dd54

23203020201300 has 108 divisors (see below), whose sum is σ = 72800660472540. Its totient is φ = 6181339530240.

The previous prime is 23203020201287. The next prime is 23203020201343. The reversal of 23203020201300 is 310202030232.

It is a happy number.

23203020201300 is a `hidden beast` number, since 2 + 320 + 3 + 0 + 20 + 20 + 1 + 300 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1942695165636 + 21260325035664 = 1393806^2 + 4610892^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11867487 + ... + 13683686.

Almost surely, 223203020201300 is an apocalyptic number.

23203020201300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23203020201300 is an abundant number, since it is smaller than the sum of its proper divisors (49597640271240).

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

23203020201300 is a wasteful number, since it uses less digits than its factorization.

23203020201300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25552202 (or 25552192 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 23203020201300 its reverse (310202030232), we get a palindrome (23513222231532).

The spelling of 23203020201300 in words is "twenty-three trillion, two hundred three billion, twenty million, two hundred one thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 1009 2018 3027 4036 5045 6054 9081 10090 12108 15135 18162 20180 25225 30270 36324 45405 50450 60540 75675 90810 100900 151350 181620 227025 302700 454050 908100 25551173 51102346 76653519 102204692 127755865 153307038 229960557 255511730 306614076 383267595 459921114 511023460 638779325 766535190 919842228 1149802785 1277558650 1533070380 1916337975 2299605570 2555117300 3832675950 4599211140 5749013925 7665351900 11498027850 22996055700 25781133557 51562267114 77343400671 103124534228 128905667785 154686801342 232030202013 257811335570 309373602684 386717003355 464060404026 515622671140 644528338925 773434006710 928120808052 1160151010065 1289056677850 1546868013420 1933585016775 2320302020130 2578113355700 3867170033550 4640604040260 5800755050325 7734340067100 11601510100650 23203020201300