Search a number
-
+
10000314002001 = 34324129436627
BaseRepresentation
bin1001000110000110000100…
…1010011110101001010001
31022102000120002002012121010
42101201201022132221101
52302321120341031001
633134025243121133
72051333050332111
oct221414112365121
938360502065533
1010000314002001
113206122601404
121156164b131a9
1357704421961b
14268036b09041
151251e77ba8d6
hex9186129ea51

10000314002001 has 24 divisors (see below), whose sum is σ = 13654388002080. Its totient is φ = 6510240366336.

The previous prime is 10000314001987. The next prime is 10000314002101. The reversal of 10000314002001 is 10020041300001.

It is a happy number.

It is not a de Polignac number, because 10000314002001 - 237 = 9862875048529 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10000314002101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22685250 + ... + 23121876.

It is an arithmetic number, because the mean of its divisors is an integer number (568932833420).

Almost surely, 210000314002001 is an apocalyptic number.

It is an amenable number.

10000314002001 is a deficient number, since it is larger than the sum of its proper divisors (3654074000079).

10000314002001 is an equidigital number, since it uses as much as digits as its factorization.

10000314002001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440845 (or 440802 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10000314002001 its reverse (10020041300001), we get a palindrome (20020355302002).

The spelling of 10000314002001 in words is "ten trillion, three hundred fourteen million, two thousand, one".

Divisors: 1 3 43 129 1849 4129 5547 12387 177547 436627 532641 1309881 7634521 18774961 22903563 56324883 807323323 1802832883 2421969969 5408498649 77521813969 232565441907 3333438000667 10000314002001