Search a number
-
+
200122011012001 = 1320479375168589
BaseRepresentation
bin101101100000001010001001…
…011000001100101110100001
3222020120110220000212122220211
4231200022021120030232201
5202212244334304341001
61545342441020534121
760103223663644621
oct5540121130145641
9866513800778824
10200122011012001
11588462a5056561
121a540ba06b1341
138788569ca7980
14375bd58090881
151820975880351
hexb6028960cba1

200122011012001 has 8 divisors (see below), whose sum is σ = 215517067086440. Its totient is φ = 184727105684352.

The previous prime is 200122011011959. The next prime is 200122011012017. The reversal of 200122011012001 is 100210110221002.

It can be written as a sum of positive squares in 4 ways, for example, as 17674373025 + 200104336638976 = 132945^2 + 14145824^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-200122011012001 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (200122011012901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34921986 + ... + 40246603.

It is an arithmetic number, because the mean of its divisors is an integer number (26939633385805).

Almost surely, 2200122011012001 is an apocalyptic number.

It is an amenable number.

200122011012001 is a deficient number, since it is larger than the sum of its proper divisors (15395056074439).

200122011012001 is a wasteful number, since it uses less digits than its factorization.

200122011012001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75373395.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 200122011012001 its reverse (100210110221002), we get a palindrome (300332121233003).

The spelling of 200122011012001 in words is "two hundred trillion, one hundred twenty-two billion, eleven million, twelve thousand, one".

Divisors: 1 13 204793 2662309 75168589 977191657 15394000847077 200122011012001