Search a number
-
+
1023352544001 = 34718893842149
BaseRepresentation
bin11101110010001001001…
…00001001101100000001
310121211110012100120112010
432321010210021230001
5113231311222402001
62102042140323133
7133635426046464
oct16710444115401
93554405316463
101023352544001
11365001917937
121463ba8434a9
137566a3c1b08
143775daa52db
151b9469b38d6
hexee44909b01

1023352544001 has 16 divisors (see below), whose sum is σ = 1394239392000. Its totient is φ = 667365739008.

The previous prime is 1023352543991. The next prime is 1023352544017. The reversal of 1023352544001 is 1004452533201.

It is not a de Polignac number, because 1023352544001 - 210 = 1023352542977 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1023352544001.

It is not an unprimeable number, because it can be changed into a prime (1023352544021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1654726 + ... + 2187423.

It is an arithmetic number, because the mean of its divisors is an integer number (87139962000).

Almost surely, 21023352544001 is an apocalyptic number.

It is an amenable number.

1023352544001 is a deficient number, since it is larger than the sum of its proper divisors (370886847999).

1023352544001 is a wasteful number, since it uses less digits than its factorization.

1023352544001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3844088.

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 1023352544001 in words is "one trillion, twenty-three billion, three hundred fifty-two million, five hundred forty-four thousand, one".

Divisors: 1 3 47 141 1889 5667 88783 266349 3842149 11526447 180581003 541743009 7257819461 21773458383 341117514667 1023352544001