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21211322201309 = 67103107151281677
BaseRepresentation
bin1001101001010101001010…
…10100110011010011011101
32210002210010111220000222102
410310222211110303103131
510240011241440420214
6113040202532454445
74316316223605122
oct464524524632335
983083114800872
1021211322201309
11683874244a599
122466a90a7a425
13bab2b0498236
145348c2368749
1526bb4da57bde
hex134aa55334dd

21211322201309 has 64 divisors (see below), whose sum is σ = 22196699246592. Its totient is φ = 20260304064000.

The previous prime is 21211322201287. The next prime is 21211322201347. The reversal of 21211322201309 is 90310222311212.

It is a cyclic number.

It is not a de Polignac number, because 21211322201309 - 212 = 21211322197213 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21211322291309) 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 63 ways as a sum of consecutive naturals, for example, 31331347079 + ... + 31331347755.

It is an arithmetic number, because the mean of its divisors is an integer number (346823425728).

Almost surely, 221211322201309 is an apocalyptic number.

It is an amenable number.

21211322201309 is a deficient number, since it is larger than the sum of its proper divisors (985377045283).

21211322201309 is a wasteful number, since it uses less digits than its factorization.

21211322201309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1386.

The product of its (nonzero) digits is 2592, while the sum is 29.

The spelling of 21211322201309 in words is "twenty-one trillion, two hundred eleven billion, three hundred twenty-two million, two hundred one thousand, three hundred nine".

Divisors: 1 67 103 107 151 281 677 6901 7169 10117 11021 15553 16157 18827 28943 30067 42431 45359 69731 72439 102227 190237 738407 1042051 1082519 1664171 1939181 2014489 2842877 3096901 4370393 4540117 4671977 4853413 6849209 7461217 10529381 10938289 12745879 19594411 20355359 28725787 111499457 207492367 292816331 304187839 467632051 499901539 705468527 732865363 1126643767 1312825537 1363809053 1924627729 2096601977 2958756061 3073659209 31331347417 75485132389 140472332459 198236656087 205935167003 316586898527 21211322201309