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1306420150100 = 2252134124510697
BaseRepresentation
bin10011000000101100101…
…101010111111101010100
311121220002122222212111012
4103000230231113331110
5132401022024300400
62440054445431352
7163246211024222
oct23005455277524
94556078885435
101306420150100
11464060130a6a
1219123956b558
139626c23b320
14473340c5b12
1523eb28a1d35
hex1302cb57f54

1306420150100 has 72 divisors (see below), whose sum is σ = 3127467022008. Its totient is φ = 470605363200.

The previous prime is 1306420150069. The next prime is 1306420150103. The reversal of 1306420150100 is 10510246031.

It can be written as a sum of positive squares in 12 ways, for example, as 968814992656 + 337605157444 = 984284^2 + 581038^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1306420150103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12202049 + ... + 12308648.

Almost surely, 21306420150100 is an apocalyptic number.

1306420150100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1306420150100 is an abundant number, since it is smaller than the sum of its proper divisors (1821046871908).

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

1306420150100 is a wasteful number, since it uses less digits than its factorization.

1306420150100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24510765 (or 24510758 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

Adding to 1306420150100 its reverse (10510246031), we get a palindrome (1316930396131).

The spelling of 1306420150100 in words is "one trillion, three hundred six billion, four hundred twenty million, one hundred fifty thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 41 50 52 65 82 100 130 164 205 260 325 410 533 650 820 1025 1066 1300 2050 2132 2665 4100 5330 10660 13325 26650 53300 24510697 49021394 98042788 122553485 245106970 318639061 490213940 612767425 637278122 1004938577 1225534850 1274556244 1593195305 2009877154 2451069700 3186390610 4019754308 5024692885 6372781220 7965976525 10049385770 13064201501 15931953050 20098771540 25123464425 26128403002 31863906100 50246928850 52256806004 65321007505 100493857700 130642015010 261284030020 326605037525 653210075050 1306420150100