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1015542142225 = 521337773109253
BaseRepresentation
bin11101100011100110000…
…01110101010100010001
310121002021212201001111021
432301303001311110101
5113114312242022400
62054311132315441
7133241036532022
oct16616301652421
93532255631437
101015542142225
11361764078436
1214499b012b81
13749c42335c0
143721c672c49
151b63ae6a71a
hexec73075511

1015542142225 has 48 divisors (see below), whose sum is σ = 1394606333232. Its totient is φ = 728719580160.

The previous prime is 1015542142081. The next prime is 1015542142261. The reversal of 1015542142225 is 5222412455101.

It can be written as a sum of positive squares in 24 ways, for example, as 892284273664 + 123257868561 = 944608^2 + 351081^2 .

It is not a de Polignac number, because 1015542142225 - 217 = 1015542011153 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9240699 + ... + 9349951.

It is an arithmetic number, because the mean of its divisors is an integer number (29054298609).

Almost surely, 21015542142225 is an apocalyptic number.

It is an amenable number.

1015542142225 is a deficient number, since it is larger than the sum of its proper divisors (379064191007).

1015542142225 is a wasteful number, since it uses less digits than its factorization.

1015542142225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110086 (or 110081 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 34.

Adding to 1015542142225 its reverse (5222412455101), we get a palindrome (6237954597326).

The spelling of 1015542142225 in words is "one trillion, fifteen billion, five hundred forty-two million, one hundred forty-two thousand, two hundred twenty-five".

Divisors: 1 5 13 25 37 65 185 325 481 773 925 2405 3865 10049 12025 19325 28601 50245 109253 143005 251225 371813 546265 715025 1420289 1859065 2731325 4042361 7101445 9295325 20211805 35507225 52550693 84452569 101059025 262753465 422262845 1097883397 1313767325 2111314225 3124745053 5489416985 15623725265 27447084925 40621685689 78118626325 203108428445 1015542142225