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130450053123 = 34131932292803
BaseRepresentation
bin111100101111101101…
…1011101100000000011
3110110201021210022110000
41321133123131200003
54114130203144443
6135532233211043
712265450104405
oct1713733354003
9413637708400
10130450053123
1150361721765
1221347560a83
13c3bc1bc760
14645717cb75
1535d76128d3
hex1e5f6dd803

130450053123 has 80 divisors (see below), whose sum is σ = 211943929120. Its totient is φ = 79483908096.

The previous prime is 130450053113. The next prime is 130450053131. The reversal of 130450053123 is 321350054031.

130450053123 is a `hidden beast` number, since 1 + 30 + 4 + 500 + 5 + 3 + 123 = 666.

It is not a de Polignac number, because 130450053123 - 29 = 130450052611 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (130450053113) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 46538040 + ... + 46540842.

It is an arithmetic number, because the mean of its divisors is an integer number (2649299114).

Almost surely, 2130450053123 is an apocalyptic number.

130450053123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

130450053123 is a deficient number, since it is larger than the sum of its proper divisors (81493875997).

130450053123 is a wasteful number, since it uses less digits than its factorization.

130450053123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3250 (or 3241 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The spelling of 130450053123 in words is "one hundred thirty billion, four hundred fifty million, fifty-three thousand, one hundred twenty-three".

Divisors: 1 3 9 13 27 39 81 117 193 229 351 579 687 1053 1737 2061 2509 2803 2977 5211 6183 7527 8409 8931 15633 18549 22581 25227 26793 36439 44197 67743 75681 80379 109317 132591 203229 227043 241137 327951 397773 540979 574561 641887 983853 1193319 1622937 1723683 1925661 2951559 3579957 4868811 5171049 5776983 7032727 8344531 14606433 15513147 17330949 21098181 25033593 43819299 46539441 51992847 63294543 75100779 123884191 189883629 225302337 371652573 569650887 675907011 1114957719 1610494483 3344873157 4831483449 10034619471 14494450347 43483351041 130450053123