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13022202101013 = 347149154139911
BaseRepresentation
bin1011110101111111011110…
…1110101111110100010101
31201002220120122200010020000
42331133313232233310111
53201323432214213023
643410152252401513
72512552210345020
oct275376756576425
951086518603200
1013022202101013
114170759663906
121563959176299
13735cb064bab1
143303c69741b7
15178b0d8d7243
hexbd7f7bafd15

13022202101013 has 40 divisors (see below), whose sum is σ = 22381115222400. Its totient is φ = 7391316964320.

The previous prime is 13022202101003. The next prime is 13022202101017. The reversal of 13022202101013 is 31010120222031.

13022202101013 is a `hidden beast` number, since 130 + 2 + 220 + 210 + 101 + 3 = 666.

It is not a de Polignac number, because 13022202101013 - 24 = 13022202100997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13022202101017) 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 39 ways as a sum of consecutive naturals, for example, 76985473 + ... + 77154438.

It is an arithmetic number, because the mean of its divisors is an integer number (559527880560).

Almost surely, 213022202101013 is an apocalyptic number.

It is an amenable number.

13022202101013 is a deficient number, since it is larger than the sum of its proper divisors (9358913121387).

13022202101013 is a wasteful number, since it uses less digits than its factorization.

13022202101013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154140079 (or 154140070 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13022202101013 its reverse (31010120222031), we get a palindrome (44032322323044).

The spelling of 13022202101013 in words is "thirteen trillion, twenty-two billion, two hundred two million, one hundred one thousand, thirteen".

Divisors: 1 3 7 9 21 27 63 81 149 189 447 567 1043 1341 3129 4023 9387 12069 28161 84483 154139911 462419733 1078979377 1387259199 3236938131 4161777597 9710814393 12485332791 22966846739 29132443179 68900540217 87397329537 160767927173 206701620651 482303781519 620104861953 1446911344557 1860314585859 4340734033671 13022202101013