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220012332001 = 71161166728099
BaseRepresentation
bin1100110011100111000…
…0011100001111100001
3210000220001000111001221
43030321300130033201
512101041124111001
6245023335455041
721616052652160
oct3147160341741
9700801014057
10220012332001
1185341253460
1236781827481
1317993423c47
14a911c973d7
155aca3291a1
hex3339c1c3e1

220012332001 has 32 divisors (see below), whose sum is σ = 278975001600. Its totient is φ = 168520564800.

The previous prime is 220012331971. The next prime is 220012332013. The reversal of 220012332001 is 100233210022.

220012332001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 220012332001 - 217 = 220012200929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (220012332601) 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 31 ways as a sum of consecutive naturals, for example, 7815850 + ... + 7843948.

It is an arithmetic number, because the mean of its divisors is an integer number (8717968800).

Almost surely, 2220012332001 is an apocalyptic number.

It is an amenable number.

220012332001 is a deficient number, since it is larger than the sum of its proper divisors (58962669599).

220012332001 is a wasteful number, since it uses less digits than its factorization.

220012332001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29845.

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 220012332001 its reverse (100233210022), we get a palindrome (320245542023).

The spelling of 220012332001 in words is "two hundred twenty billion, twelve million, three hundred thirty-two thousand, one".

Divisors: 1 7 11 61 77 427 671 1667 4697 11669 18337 28099 101687 128359 196693 309089 711809 1118557 1714039 2163623 7829899 11998273 18854429 46841033 131981003 327887231 515251363 2857303013 3606759541 20001121091 31430333143 220012332001