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421834765001 = 131381234110037
BaseRepresentation
bin1100010001101110100…
…11111011001011001001
31111022211101112100122212
412020313103323023021
523402404144440001
6521442130554505
742322313225006
oct6106723731311
91438741470585
10421834765001
11152998800531
1269907738a35
1330a18188b30
14165ba0108ad
15ae8d7887bb
hex62374fb2c9

421834765001 has 16 divisors (see below), whose sum is σ = 454852054608. Its totient is φ = 388899014400.

The previous prime is 421834764979. The next prime is 421834765013. The reversal of 421834765001 is 100567438124.

It can be written as a sum of positive squares in 8 ways, for example, as 20988765625 + 400845999376 = 144875^2 + 633124^2 .

It is not a de Polignac number, because 421834765001 - 222 = 421830570697 is a prime.

It is a Duffinian number.

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 421834765001.

It is not an unprimeable number, because it can be changed into a prime (421834765081) 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, 42022955 + ... + 42032991.

It is an arithmetic number, because the mean of its divisors is an integer number (28428253413).

Almost surely, 2421834765001 is an apocalyptic number.

It is an amenable number.

421834765001 is a deficient number, since it is larger than the sum of its proper divisors (33017289607).

421834765001 is a wasteful number, since it uses less digits than its factorization.

421834765001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13772.

The product of its (nonzero) digits is 161280, while the sum is 41.

The spelling of 421834765001 in words is "four hundred twenty-one billion, eight hundred thirty-four million, seven hundred sixty-five thousand, one".

Divisors: 1 13 1381 2341 10037 17953 30433 130481 3232921 13861097 23496617 42027973 180194261 305456021 32448828077 421834765001