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132300303000300 = 223252712070427277
BaseRepresentation
bin11110000101001110010000…
…100100000110001011101100
3122100102210012120221011202100
4132011032100210012023230
5114320102010032002200
61145213530430255100
736603244561456041
oct3605162044061354
9570383176834670
10132300303000300
1139178274a88986
1212a08827957490
1358a8b32656776
1424955241051c8
15104667b637d00
hex7853909062ec

132300303000300 has 108 divisors (see below), whose sum is σ = 420528625289136. Its totient is φ = 34783178236800.

The previous prime is 132300303000253. The next prime is 132300303000317. The reversal of 132300303000300 is 3000303003231.

132300303000300 is a `hidden beast` number, since 1 + 3 + 2 + 30 + 0 + 30 + 300 + 0 + 300 = 666.

132300303000300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

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, 1035149739 + ... + 1035277538.

It is an arithmetic number, because the mean of its divisors is an integer number (3893783567492).

Almost surely, 2132300303000300 is an apocalyptic number.

132300303000300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132300303000300 is an abundant number, since it is smaller than the sum of its proper divisors (288228322288836).

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

132300303000300 is a wasteful number, since it uses less digits than its factorization.

132300303000300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2070427368 (or 2070427358 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

Adding to 132300303000300 its reverse (3000303003231), we get a palindrome (135300606003531).

The spelling of 132300303000300 in words is "one hundred thirty-two trillion, three hundred billion, three hundred three million, three hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 71 75 90 100 142 150 180 213 225 284 300 355 426 450 639 710 852 900 1065 1278 1420 1775 2130 2556 3195 3550 4260 5325 6390 7100 10650 12780 15975 21300 31950 63900 2070427277 4140854554 6211281831 8281709108 10352136385 12422563662 18633845493 20704272770 24845127324 31056409155 37267690986 41408545540 51760681925 62112818310 74535381972 93169227465 103521363850 124225636620 147000336667 155282045775 186338454930 207042727700 294000673334 310564091550 372676909860 441001010001 465846137325 588001346668 621128183100 735001683335 882002020002 931692274650 1323003030003 1470003366670 1764004040004 1863384549300 2205005050005 2646006060006 2940006733340 3675008416675 4410010100010 5292012120012 6615015150015 7350016833350 8820020200020 11025025250025 13230030300030 14700033666700 22050050500050 26460060600060 33075075750075 44100101000100 66150151500150 132300303000300