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1056322412245 = 5173710110930509
BaseRepresentation
bin11110101111100011011…
…10001101111011010101
310201222112220222102020101
433113301232031323111
5114301322014142440
62125133503134101
7136213440233362
oct17276156157325
93658486872211
101056322412245
11377a90510931
121508802a4331
13787c2b4b4a9
14391aa711469
151c7261cd69a
hexf5f1b8ded5

1056322412245 has 64 divisors (see below), whose sum is σ = 1404890308800. Its totient is φ = 759136665600.

The previous prime is 1056322412107. The next prime is 1056322412273. The reversal of 1056322412245 is 5422142236501.

It can be written as a sum of positive squares in 32 ways, for example, as 214407893764 + 841914518481 = 463042^2 + 917559^2 .

It is not a de Polignac number, because 1056322412245 - 221 = 1056320315093 is a prime.

It is a super-2 number, since 2×10563224122452 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34608051 + ... + 34638559.

It is an arithmetic number, because the mean of its divisors is an integer number (21951411075).

Almost surely, 21056322412245 is an apocalyptic number.

It is an amenable number.

1056322412245 is a deficient number, since it is larger than the sum of its proper divisors (348567896555).

1056322412245 is a wasteful number, since it uses less digits than its factorization.

1056322412245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30778.

The product of its (nonzero) digits is 115200, while the sum is 37.

Adding to 1056322412245 its reverse (5422142236501), we get a palindrome (6478464648746).

The spelling of 1056322412245 in words is "one trillion, fifty-six billion, three hundred twenty-two million, four hundred twelve thousand, two hundred forty-five".

Divisors: 1 5 17 37 85 101 109 185 505 545 629 1717 1853 3145 3737 4033 8585 9265 11009 18685 20165 30509 55045 63529 68561 152545 187153 317645 342805 407333 518653 935765 1128833 2036665 2593265 3081409 3325481 5644165 6924661 15407045 16627405 19190161 34623305 52383953 56533177 95950805 114012133 123042797 261919765 282665885 335873581 570060665 615213985 1679367905 1938206261 2091727549 5709850877 9691031305 10458637745 12427322497 28549254385 62136612485 211264482449 1056322412245