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132310221012300 = 223523971453376441
BaseRepresentation
bin11110000101010111011111…
…101110010011110101001100
3122100110201210210102101111010
4132011113133232103311030
5114320232313034343200
61145222250523525220
736604045422254652
oct3605273756236514
9570421723371433
10132310221012300
11391814a4494111
1212a0a735389810
1358a9a53368a16
142495bc5404dd2
151046a5c1ed150
hex7855dfb93d4c

132310221012300 has 144 divisors (see below), whose sum is σ = 383813277384992. Its totient is φ = 35190970214400.

The previous prime is 132310221012289. The next prime is 132310221012323. The reversal of 132310221012300 is 3210122013231.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1730842080 + ... + 1730918520.

Almost surely, 2132310221012300 is an apocalyptic number.

132310221012300 is a gapful number since it is divisible by the number (10) 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 132310221012300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191906638692496).

132310221012300 is an abundant number, since it is smaller than the sum of its proper divisors (251503056372692).

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

132310221012300 is a wasteful number, since it uses less digits than its factorization.

132310221012300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91388 (or 91381 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 132310221012300 its reverse (3210122013231), we get a palindrome (135520343025531).

The spelling of 132310221012300 in words is "one hundred thirty-two trillion, three hundred ten billion, two hundred twenty-one million, twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 397 794 1191 1588 1985 2382 3970 4764 5955 7940 9925 11910 14533 19850 23820 29066 29775 39700 43599 58132 59550 72665 76441 87198 119100 145330 152882 174396 217995 229323 290660 305764 363325 382205 435990 458646 726650 764410 871980 917292 1089975 1146615 1453300 1528820 1911025 2179950 2293230 3822050 4359900 4586460 5733075 5769601 7644100 11466150 11539202 17308803 22932300 23078404 28848005 30347077 34617606 57696010 60694154 69235212 86544015 91041231 115392020 121388308 144240025 151735385 173088030 182082462 288480050 303470770 346176060 364164924 432720075 455206155 576960100 606941540 758676925 865440150 910412310 1110917053 1517353850 1730880300 1820824620 2221834106 2276030775 3034707700 3332751159 4443668212 4552061550 5554585265 6665502318 9104123100 11109170530 13331004636 16663755795 22218341060 27772926325 33327511590 55545852650 66655023180 83318778975 111091705300 166637557950 333275115900 441034070041 882068140082 1323102210123 1764136280164 2205170350205 2646204420246 4410340700410 5292408840492 6615511050615 8820681400820 11025851751025 13231022101230 22051703502050 26462044202460 33077555253075 44103407004100 66155110506150 132310221012300