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13022202223232 = 27974312433467
BaseRepresentation
bin1011110101111111011110…
…1111001101101010000000
31201002220120122220022212122
42331133313233031222000
53201323432232120412
643410152255143412
72512552211364236
oct275376757155200
951086518808778
1013022202223232
114170759737714
121563959214b68
13735cb0692607
143303c69a6956
15178b0d90d572
hexbd7f7bcda80

13022202223232 has 64 divisors (see below), whose sum is σ = 26270941818240. Its totient is φ = 6429022494720.

The previous prime is 13022202223157. The next prime is 13022202223241. The reversal of 13022202223232 is 23232220222031.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4134563 + ... + 6568029.

It is an arithmetic number, because the mean of its divisors is an integer number (410483465910).

Almost surely, 213022202223232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13022202223232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13135470909120).

13022202223232 is an abundant number, since it is smaller than the sum of its proper divisors (13248739595008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13022202223232 is an equidigital number, since it uses as much as digits as its factorization.

13022202223232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2434009 (or 2433997 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 13022202223232 its reverse (23232220222031), we get a palindrome (36254422445263).

The spelling of 13022202223232 in words is "thirteen trillion, twenty-two billion, two hundred two million, two hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 97 128 194 388 431 776 862 1552 1724 3104 3448 6208 6896 12416 13792 27584 41807 55168 83614 167228 334456 668912 1337824 2433467 2675648 4866934 5351296 9733868 19467736 38935472 77870944 155741888 236046299 311483776 472092598 944185196 1048824277 1888370392 2097648554 3776740784 4195297108 7553481568 8390594216 15106963136 16781188432 30213926272 33562376864 67124753728 101735954869 134249507456 203471909738 406943819476 813887638952 1627775277904 3255550555808 6511101111616 13022202223232