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13021022221311 = 3133191871172317
BaseRepresentation
bin1011110101111011000101…
…1001110111001111111111
31201002210112102112000112210
42331132301121313033333
53201314023142040221
643405435223431503
72512511032466346
oct275366131671777
951083472460483
1013021022221311
11417020364a815
121563689bb5593
13735b53080720
14330313da0b5d
15178a90023276
hexbd7b16773ff

13021022221311 has 32 divisors (see below), whose sum is σ = 19302093948928. Its totient is φ = 7753604238720.

The previous prime is 13021022221271. The next prime is 13021022221357. The reversal of 13021022221311 is 11312222012031.

It is not a de Polignac number, because 13021022221311 - 211 = 13021022219263 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 (13021022229311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10520925 + ... + 11693241.

It is an arithmetic number, because the mean of its divisors is an integer number (603190435904).

Almost surely, 213021022221311 is an apocalyptic number.

13021022221311 is a deficient number, since it is larger than the sum of its proper divisors (6281071727617).

13021022221311 is a wasteful number, since it uses less digits than its factorization.

13021022221311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181551.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 13021022221311 its reverse (11312222012031), we get a palindrome (24333244233342).

The spelling of 13021022221311 in words is "thirteen trillion, twenty-one billion, twenty-two million, two hundred twenty-one thousand, three hundred eleven".

Divisors: 1 3 13 31 39 93 403 1209 9187 27561 119431 284797 358293 854391 1172317 3516951 3702361 11107083 15240121 36341827 45720363 109025481 472443751 1417331253 10770076279 32310228837 140010991627 333872364649 420032974881 1001617093947 4340340740437 13021022221311