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13121213301 = 337547912671
BaseRepresentation
bin11000011100001010…
…11101001101110101
31020212102212200212000
430032011131031311
5203333012311201
610010001045513
7643104321120
oct141605351565
936772780760
1013121213301
115623645839
122662326899
131311531c51
148c68bd3b7
1551bde6d86
hex30e15d375

13121213301 has 32 divisors (see below), whose sum is σ = 22221619200. Its totient is φ = 7495876080.

The previous prime is 13121213293. The next prime is 13121213317. The reversal of 13121213301 is 10331212131.

13121213301 is a `hidden beast` number, since 1 + 312 + 1 + 21 + 330 + 1 = 666.

It is not a de Polignac number, because 13121213301 - 23 = 13121213293 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13121203301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1029196 + ... + 1041866.

It is an arithmetic number, because the mean of its divisors is an integer number (694425600).

Almost surely, 213121213301 is an apocalyptic number.

It is an amenable number.

13121213301 is a deficient number, since it is larger than the sum of its proper divisors (9100405899).

13121213301 is a wasteful number, since it uses less digits than its factorization.

13121213301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18166 (or 18160 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13121213301 its reverse (10331212131), we get a palindrome (23452425432).

The spelling of 13121213301 in words is "thirteen billion, one hundred twenty-one million, two hundred thirteen thousand, three hundred one".

Divisors: 1 3 7 9 21 27 63 189 5479 12671 16437 38013 38353 49311 88697 114039 115059 147933 266091 342117 345177 798273 1035531 2394819 69424409 208273227 485970863 624819681 1457912589 1874459043 4373737767 13121213301