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103431062449 = 1121341732
BaseRepresentation
bin110000001010011111…
…0001100001110110001
3100212222021210101002201
41200110332030032301
53143311322444244
6115303210343201
710321055345011
oct1402476141661
9325867711081
10103431062449
113a957158100
1218066a2ab01
1399a45c0000
1450129d5c41
152a5557aad4
hex1814f8c3b1

103431062449 has 45 divisors (see below), whose sum is σ = 123878450759. Its totient is φ = 86293590240.

The previous prime is 103431062429. The next prime is 103431062459. The reversal of 103431062449 is 944260134301.

The square root of 103431062449 is 321607.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 81011390625 + 22419671824 = 284625^2 + 149732^2 .

It is not a de Polignac number, because 103431062449 - 27 = 103431062321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103431062429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 597867327 + ... + 597867499.

Almost surely, 2103431062449 is an apocalyptic number.

103431062449 is the 321607-th square number.

103431062449 is the 160804-th centered octagonal number.

It is an amenable number.

103431062449 is a deficient number, since it is larger than the sum of its proper divisors (20447388310).

103431062449 is an frugal number, since it uses more digits than its factorization.

103431062449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The spelling of 103431062449 in words is "one hundred three billion, four hundred thirty-one million, sixty-two thousand, four hundred forty-nine".

Divisors: 1 11 13 121 143 169 173 1573 1859 1903 2197 2249 20449 20933 24167 24739 28561 29237 29929 265837 272129 314171 321607 329219 380081 389077 3455881 3537677 3621409 4180891 4279847 4941053 5058001 45989801 47078317 54351583 55638011 65754013 597867413 612018121 723294143 854802169 7956235573 9402823859 103431062449