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320011330121221 = 2312728093106591
BaseRepresentation
bin100100011000011000111000…
…1101001111110111000000101
31112222001210011211000212221011
41020300301301221332320011
5313421031201002334341
63052335101530122221
7124256025040116244
oct11060616151767005
91488053154025834
10320011330121221
1192a690521a2302
122ba8440ab80371
1310973c28b2919b
1459048b973895b
1526ee368242b81
hex1230c71a7ee05

320011330121221 has 24 divisors (see below), whose sum is σ = 336619645668864. Its totient is φ = 303647201716320.

The previous prime is 320011330121209. The next prime is 320011330121243. The reversal of 320011330121221 is 122121033110023.

It is not a de Polignac number, because 320011330121221 - 29 = 320011330120709 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 320011330121192 and 320011330121201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320011330121261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3002182636 + ... + 3002289226.

It is an arithmetic number, because the mean of its divisors is an integer number (14025818569536).

Almost surely, 2320011330121221 is an apocalyptic number.

It is an amenable number.

320011330121221 is a deficient number, since it is larger than the sum of its proper divisors (16608315547643).

320011330121221 is a wasteful number, since it uses less digits than its factorization.

320011330121221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114961 (or 114834 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 320011330121221 its reverse (122121033110023), we get a palindrome (442132363231244).

The spelling of 320011330121221 in words is "three hundred twenty trillion, eleven billion, three hundred thirty million, one hundred twenty-one thousand, two hundred twenty-one".

Divisors: 1 23 127 2921 8093 16129 106591 186139 370967 1027811 2451593 13537057 23639653 130531997 311352311 862640963 1719206239 3002235931 19840742149 39541743497 109555402301 2519774252923 13913536092227 320011330121221