Search a number
-
+
20002200101221 = 1313124547478481
BaseRepresentation
bin1001000110001001000000…
…00010000010000101100101
32121211012011201100020011011
410203010200002002011211
510110204001211214341
6110312514525542221
74133053110412102
oct443044002020545
977735151306134
1020002200101221
116411981556708
1222b0688414971
13b2127904c490
144d217c523aa9
1524a4830c2b81
hex123120082165

20002200101221 has 16 divisors (see below), whose sum is σ = 21706194299328. Its totient is φ = 18321841324800.

The previous prime is 20002200101209. The next prime is 20002200101227. The reversal of 20002200101221 is 12210100220002.

It is a happy number.

It is not a de Polignac number, because 20002200101221 - 215 = 20002200068453 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20002200101227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41564301 + ... + 42042781.

It is an arithmetic number, because the mean of its divisors is an integer number (1356637143708).

Almost surely, 220002200101221 is an apocalyptic number.

It is an amenable number.

20002200101221 is a deficient number, since it is larger than the sum of its proper divisors (1703994198107).

20002200101221 is a wasteful number, since it uses less digits than its factorization.

20002200101221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503172.

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

Adding to 20002200101221 its reverse (12210100220002), we get a palindrome (32212300321223).

The spelling of 20002200101221 in words is "twenty trillion, two billion, two hundred million, one hundred one thousand, two hundred twenty-one".

Divisors: 1 13 131 1703 24547 319111 478481 3215657 6220253 41803541 62681011 814853143 11745273107 152688550391 1538630777017 20002200101221