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1431342100 = 225227751673
BaseRepresentation
bin101010101010000…
…1000110000010100
310200202022201020101
41111110020300110
510412410421400
6354010343444
750320131016
oct12524106024
93622281211
101431342100
11674a56561
1233b42ab84
1319a7035b6
14d81501b6
15859d656a
hex55508c14

1431342100 has 36 divisors (see below), whose sum is σ = 3117285724. Its totient is φ = 570458880.

The previous prime is 1431342091. The next prime is 1431342109. The reversal of 1431342100 is 12431341.

It is an interprime number because it is at equal distance from previous prime (1431342091) and next prime (1431342109).

It can be written as a sum of positive squares in 6 ways, for example, as 535824 + 1430806276 = 732^2 + 37826^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1431342109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1864 + ... + 53536.

Almost surely, 21431342100 is an apocalyptic number.

1431342100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1431342100 is an abundant number, since it is smaller than the sum of its proper divisors (1685943624).

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

1431342100 is a wasteful number, since it uses less digits than its factorization.

1431342100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51964 (or 51957 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 1431342100 is about 37833.0820843346. The cubic root of 1431342100 is about 1126.9755182278.

Adding to 1431342100 its reverse (12431341), we get a palindrome (1443773441).

The spelling of 1431342100 in words is "one billion, four hundred thirty-one million, three hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 277 554 1108 1385 2770 5540 6925 13850 27700 51673 103346 206692 258365 516730 1033460 1291825 2583650 5167300 14313421 28626842 57253684 71567105 143134210 286268420 357835525 715671050 1431342100