Search a number
-
+
32301013220100 = 22325237970000397
BaseRepresentation
bin1110101100000101010100…
…11010110011101100000100
311020100221120011000112212200
413112002222122303230010
513213204433341020400
6152410514114114500
76542446135141242
oct726025232635404
9136327504015780
1032301013220100
11a323867971419
12375819bb7ba30
131503c846ba831
147d953d76b792
153b03543a8b00
hex1d60aa6b3b04

32301013220100 has 108 divisors (see below), whose sum is σ = 103982102664804. Its totient is φ = 8380803421440.

The previous prime is 32301013220083. The next prime is 32301013220101. The reversal of 32301013220100 is 102231010323.

32301013220100 is a `hidden beast` number, since 3 + 230 + 10 + 1 + 322 + 0 + 100 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2202535000836 + 30098478219264 = 1484094^2 + 5486208^2 .

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

It is not an unprimeable number, because it can be changed into a prime (32301013220101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 484966899 + ... + 485033498.

Almost surely, 232301013220100 is an apocalyptic number.

32301013220100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32301013220100 is an abundant number, since it is smaller than the sum of its proper divisors (71681089444704).

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

32301013220100 is a wasteful number, since it uses less digits than its factorization.

32301013220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970000454 (or 970000444 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 32301013220100 its reverse (102231010323), we get a palindrome (32403244230423).

The spelling of 32301013220100 in words is "thirty-two trillion, three hundred one billion, thirteen million, two hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 37 45 50 60 74 75 90 100 111 148 150 180 185 222 225 300 333 370 444 450 555 666 740 900 925 1110 1332 1665 1850 2220 2775 3330 3700 5550 6660 8325 11100 16650 33300 970000397 1940000794 2910001191 3880001588 4850001985 5820002382 8730003573 9700003970 11640004764 14550005955 17460007146 19400007940 24250009925 29100011910 34920014292 35890014689 43650017865 48500019850 58200023820 71780029378 72750029775 87300035730 97000039700 107670044067 143560058756 145500059550 174600071460 179450073445 215340088134 218250089325 291000119100 323010132201 358900146890 430680176268 436500178650 538350220335 646020264402 717800293780 873000357300 897250367225 1076700440670 1292040528804 1615050661005 1794500734450 2153400881340 2691751101675 3230101322010 3589001468900 5383502203350 6460202644020 8075253305025 10767004406700 16150506610050 32301013220100