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221002313013 = 321011993673329
BaseRepresentation
bin1100110111010011000…
…0111010110100110101
3210010110000211201201100
43031310300322310311
512110103043004023
6245305502320313
721652433444166
oct3156460726465
9703400751640
10221002313013
11857aa053889
12369b9289099
1317ac0563a21
14a9a755776d
155b371cbc43
hex3374c3ad35

221002313013 has 48 divisors (see below), whose sum is σ = 324986688000. Its totient is φ = 144704102400.

The previous prime is 221002312961. The next prime is 221002313029. The reversal of 221002313013 is 310313200122.

It is not a de Polignac number, because 221002313013 - 214 = 221002296629 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221002315013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66385333 + ... + 66388661.

It is an arithmetic number, because the mean of its divisors is an integer number (6770556000).

Almost surely, 2221002313013 is an apocalyptic number.

It is an amenable number.

221002313013 is a deficient number, since it is larger than the sum of its proper divisors (103984374987).

221002313013 is a wasteful number, since it uses less digits than its factorization.

221002313013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4002 (or 3999 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 221002313013 its reverse (310313200122), we get a palindrome (531315513135).

The spelling of 221002313013 in words is "two hundred twenty-one billion, two million, three hundred thirteen thousand, thirteen".

Divisors: 1 3 9 101 199 303 367 597 909 1101 1791 3303 3329 9987 20099 29961 37067 60297 73033 111201 180891 219099 333603 336229 657297 662471 1008687 1221743 1987413 3026061 3665229 5962239 7376333 10995687 22128999 66386997 66909571 123396043 200728713 243126857 370188129 602186139 729380571 1110564387 2188141713 24555812557 73667437671 221002313013