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1023145530345 = 32519262982181
BaseRepresentation
bin11101110001110000011…
…10011101001111101001
310121210220202211012011200
432320320032131033221
5113230400223432340
62102005423314413
7133630333341231
oct16707016351751
93553822735150
101023145530345
11364a05a84474
1214636144ba09
1375636550323
14377403b8cc1
151b933721330
hexee3839d3e9

1023145530345 has 36 divisors (see below), whose sum is σ = 1871704484676. Its totient is φ = 516957733440.

The previous prime is 1023145530331. The next prime is 1023145530347. The reversal of 1023145530345 is 5430355413201.

1023145530345 is a `hidden beast` number, since 1 + 0 + 231 + 4 + 55 + 30 + 345 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 804522890304 + 218622640041 = 896952^2 + 467571^2 .

It is not a de Polignac number, because 1023145530345 - 27 = 1023145530217 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1023145530347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 31474846 + ... + 31507335.

It is an arithmetic number, because the mean of its divisors is an integer number (51991791241).

Almost surely, 21023145530345 is an apocalyptic number.

1023145530345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1023145530345 is a deficient number, since it is larger than the sum of its proper divisors (848558954331).

1023145530345 is a wasteful number, since it uses less digits than its factorization.

1023145530345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62982230 (or 62982208 counting only the distinct ones).

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

The spelling of 1023145530345 in words is "one trillion, twenty-three billion, one hundred forty-five million, five hundred thirty thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 19 45 57 95 171 285 361 855 1083 1805 3249 5415 16245 62982181 188946543 314910905 566839629 944732715 1196661439 2834198145 3589984317 5983307195 10769952951 17949921585 22736567341 53849764755 68209702023 113682836705 204629106069 341048510115 1023145530345