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1230142005225 = 325271745943679
BaseRepresentation
bin10001111001101010001…
…011010101111111101001
311100121012201012121220100
4101321222023111333221
5130123312323131400
62341041444220013
7154606031343210
oct21715213257751
94317181177810
101230142005225
11434778101811
1217a4b009a609
138c00420ca63
144377977a077
1521eeb015100
hex11e6a2d5fe9

1230142005225 has 72 divisors (see below), whose sum is σ = 2666203637760. Its totient is φ = 529271170560.

The previous prime is 1230142005223. The next prime is 1230142005229. The reversal of 1230142005225 is 5225002410321.

1230142005225 is a `hidden beast` number, since 1 + 230 + 1 + 4 + 200 + 5 + 225 = 666.

It is not a de Polignac number, because 1230142005225 - 21 = 1230142005223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1230142005221) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22945065 + ... + 22998614.

It is an arithmetic number, because the mean of its divisors is an integer number (37030606080).

Almost surely, 21230142005225 is an apocalyptic number.

1230142005225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1230142005225 is an abundant number, since it is smaller than the sum of its proper divisors (1436061632535).

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

1230142005225 is a wasteful number, since it uses less digits than its factorization.

1230142005225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45943719 (or 45943711 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 1230142005225 its reverse (5225002410321), we get a palindrome (6455144415546).

The spelling of 1230142005225 in words is "one trillion, two hundred thirty billion, one hundred forty-two million, five thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 17 21 25 35 45 51 63 75 85 105 119 153 175 225 255 315 357 425 525 595 765 1071 1275 1575 1785 2975 3825 5355 8925 26775 45943679 137831037 229718395 321605753 413493111 689155185 781042543 964817259 1148591975 1608028765 2067465555 2343127629 2894451777 3445775925 3905212715 4824086295 5467297801 7029382887 8040143825 10337327775 11715638145 14472258885 16401893403 19526063575 24120431475 27336489005 35146914435 49205680209 58578190725 72361294425 82009467015 136682445025 175734572175 246028401045 410047335075 1230142005225