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130554233145 = 3257264499181
BaseRepresentation
bin111100110010110100…
…0111000000100111001
3110110222112211012120100
41321211220320010321
54114333340430040
6135550434150013
712301153446300
oct1714550700471
9413875735510
10130554233145
1150405508756
1221376422309
13c407967a3b
146466d3b437
1535e1840b30
hex1e65a38139

130554233145 has 72 divisors (see below), whose sum is σ = 263309459400. Its totient is φ = 59666181120.

The previous prime is 130554233129. The next prime is 130554233153. The reversal of 130554233145 is 541332455031.

130554233145 is a `hidden beast` number, since 1 + 30 + 554 + 2 + 3 + 31 + 45 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 54364984569 + 76189248576 = 233163^2 + 276024^2 .

It is not a de Polignac number, because 130554233145 - 24 = 130554233129 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14215455 + ... + 14224635.

It is an arithmetic number, because the mean of its divisors is an integer number (3657075825).

Almost surely, 2130554233145 is an apocalyptic number.

130554233145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

130554233145 is an abundant number, since it is smaller than the sum of its proper divisors (132755226255).

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

130554233145 is a wasteful number, since it uses less digits than its factorization.

130554233145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15655 (or 15645 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 130554233145 its reverse (541332455031), we get a palindrome (671886688176).

The spelling of 130554233145 in words is "one hundred thirty billion, five hundred fifty-four million, two hundred thirty-three thousand, one hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 441 735 2205 6449 9181 19347 27543 32245 45143 45905 58041 64267 82629 96735 135429 137715 192801 225715 290205 316001 321335 406287 413145 449869 578403 677145 948003 964005 1349607 1580005 2031435 2249345 2844009 2892015 4048821 4740015 6748035 14220045 20244105 59208269 177624807 296041345 414457883 532874421 888124035 1243373649 2072289415 2664372105 2901205181 3730120947 6216868245 8703615543 14506025905 18650604735 26110846629 43518077715 130554233145