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13301014221 = 3211415955541
BaseRepresentation
bin11000110001100110…
…10101111011001101
31021022222012112100100
430120303111323031
5204220024423341
610035502521313
7650416520055
oct143063257315
937288175310
1013301014221
115706091940
1226b2596239
13133c866321
14902724565
1552cab13b6
hex318cd5ecd

13301014221 has 48 divisors (see below), whose sum is σ = 21834671040. Its totient is φ = 7731168000.

The previous prime is 13301014211. The next prime is 13301014271. The reversal of 13301014221 is 12241010331.

It is not a de Polignac number, because 13301014221 - 26 = 13301014157 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13301014194 and 13301014203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13301014211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 211711 + ... + 267251.

It is an arithmetic number, because the mean of its divisors is an integer number (454888980).

Almost surely, 213301014221 is an apocalyptic number.

13301014221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13301014221 is a deficient number, since it is larger than the sum of its proper divisors (8533656819).

13301014221 is a wasteful number, since it uses less digits than its factorization.

13301014221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55658 (or 55655 counting only the distinct ones).

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

Adding to 13301014221 its reverse (12241010331), we get a palindrome (25542024552).

The spelling of 13301014221 in words is "thirteen billion, three hundred one million, fourteen thousand, two hundred twenty-one".

Divisors: 1 3 9 11 33 41 59 99 123 177 369 451 531 649 1353 1947 2419 4059 5841 7257 21771 26609 55541 79827 166623 239481 499869 610951 1832853 2277181 3276919 5498559 6831543 9830757 20494629 25048991 29492271 36046109 75146973 108138327 134353679 225440919 324414981 403061037 1209183111 1477890469 4433671407 13301014221