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202000220001 = 3222444468889
BaseRepresentation
bin1011110000100000100…
…1101011111101100001
3201022101202001101111200
42330020021223331201
511302144024020001
6232444141431413
720410516353126
oct2741011537541
9638352041450
10202000220001
1178738949088
123319556b569
13160828426c8
149ac39d674d
1553c3d7c086
hex2f0826bf61

202000220001 has 6 divisors (see below), whose sum is σ = 291778095570. Its totient is φ = 134666813328.

The previous prime is 202000219969. The next prime is 202000220021. The reversal of 202000220001 is 100022000202.

202000220001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 201798608400 + 201611601 = 449220^2 + 14199^2 .

It is not a de Polignac number, because 202000220001 - 25 = 202000219969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 22444468889 = 202000220001 / (2 + 0 + 2 + 0 + 0 + 0 + 2 + 2 + 0 + 0 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (202000220021) 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 5 ways as a sum of consecutive naturals, for example, 11222234436 + ... + 11222234453.

It is an arithmetic number, because the mean of its divisors is an integer number (48629682595).

Almost surely, 2202000220001 is an apocalyptic number.

It is an amenable number.

202000220001 is a deficient number, since it is larger than the sum of its proper divisors (89777875569).

202000220001 is a wasteful number, since it uses less digits than its factorization.

202000220001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22444468895 (or 22444468892 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 202000220001 its reverse (100022000202), we get a palindrome (302022220203).

The spelling of 202000220001 in words is "two hundred two billion, two hundred twenty thousand, one".

Divisors: 1 3 9 22444468889 67333406667 202000220001