Search a number
-
+
202202002101001 = 732926377292541
BaseRepresentation
bin101101111110011011010010…
…100000100001001100001001
3222111221022201012001212021211
4231332123102200201030021
5203000334200014213001
61554014152320333121
760406420052332000
oct5576332240411411
9874838635055254
10202202002101001
1159478429877461
121a8181294741a1
1388a974a873b66
1437d08b4439c37
151859b1116b351
hexb7e6d2821309

202202002101001 has 32 divisors (see below), whose sum is σ = 244862773056000. Its totient is φ = 166703313591360.

The previous prime is 202202002100977. The next prime is 202202002101037. The reversal of 202202002101001 is 100101200202202.

It is a happy number.

It is not a de Polignac number, because 202202002101001 - 225 = 202201968546569 is a prime.

It is a super-3 number, since 3×2022020021010013 (a number of 44 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (202202002105001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36030210 + ... + 41262331.

It is an arithmetic number, because the mean of its divisors is an integer number (7651961658000).

Almost surely, 2202202002101001 is an apocalyptic number.

It is an amenable number.

202202002101001 is a deficient number, since it is larger than the sum of its proper divisors (42660770954999).

202202002101001 is an equidigital number, since it uses as much as digits as its factorization.

202202002101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77292854 (or 77292840 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 202202002101001 its reverse (100101200202202), we get a palindrome (302303202303203).

The spelling of 202202002101001 in words is "two hundred two trillion, two hundred two billion, two million, one hundred one thousand, one".

Divisors: 1 7 29 49 203 263 343 1421 1841 7627 9947 12887 53389 90209 373723 2616061 77292541 541047787 2241483689 3787334509 15690385823 20327938283 26511341563 109832700761 142295567981 589510210207 768828905327 996068975867 4126571471449 6972482831069 28886000300143 202202002101001