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1431300020 = 225192198241
BaseRepresentation
bin101010101001111…
…1110011110110100
310200202020120111212
41111103332132310
510412403100040
6354005420552
750316564233
oct12523763664
93622216455
101431300020
11674a27987
1233b40a758
1319a6ba3b7
14d813cb1a
15859c8d65
hex554fe7b4

1431300020 has 36 divisors (see below), whose sum is σ = 3172268484. Its totient is φ = 542384640.

The previous prime is 1431299993. The next prime is 1431300049. The reversal of 1431300020 is 200031341.

It can be written as a sum of positive squares in 2 ways, for example, as 185068816 + 1246231204 = 13604^2 + 35302^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1431299968 and 1431300004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91901 + ... + 106340.

It is an arithmetic number, because the mean of its divisors is an integer number (88118569).

Almost surely, 21431300020 is an apocalyptic number.

1431300020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1431300020 is an abundant number, since it is smaller than the sum of its proper divisors (1740968464).

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

1431300020 is a wasteful number, since it uses less digits than its factorization.

1431300020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198288 (or 198267 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 1431300020 is about 37832.5259532059. The cubic root of 1431300020 is about 1126.9644741421.

Adding to 1431300020 its reverse (200031341), we get a palindrome (1631331361).

The spelling of 1431300020 in words is "one billion, four hundred thirty-one million, three hundred thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 361 380 722 1444 1805 3610 7220 198241 396482 792964 991205 1982410 3766579 3964820 7533158 15066316 18832895 37665790 71565001 75331580 143130002 286260004 357825005 715650010 1431300020