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13322001101201 = 1310952731782961
BaseRepresentation
bin1100000111011100010100…
…1001001011000110010001
31202011120102011101022001122
43001313011021023012101
53221231424240214301
644200013125412025
72543324414660162
oct301670511130621
952146364338048
1013322001101201
114276913354a61
1215b1a8726a015
1375834a9332b0
14340b07113769
151818085e081b
hexc1dc524b191

13322001101201 has 16 divisors (see below), whose sum is σ = 14481146045520. Its totient is φ = 12182095595520.

The previous prime is 13322001101161. The next prime is 13322001101219. The reversal of 13322001101201 is 10210110022331.

It can be written as a sum of positive squares in 8 ways, for example, as 37426771600 + 13284574329601 = 193460^2 + 3644801^2 .

It is a cyclic number.

It is not a de Polignac number, because 13322001101201 - 218 = 13322000839057 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13322001101201.

It is not an unprimeable number, because it can be changed into a prime (13322001101401) 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 15 ways as a sum of consecutive naturals, for example, 6580361 + ... + 8363321.

It is an arithmetic number, because the mean of its divisors is an integer number (905071627845).

Almost surely, 213322001101201 is an apocalyptic number.

It is an amenable number.

13322001101201 is a deficient number, since it is larger than the sum of its proper divisors (1159144944319).

13322001101201 is a wasteful number, since it uses less digits than its factorization.

13322001101201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1788356.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 13322001101201 its reverse (10210110022331), we get a palindrome (23532111123532).

The spelling of 13322001101201 in words is "thirteen trillion, three hundred twenty-two billion, one million, one hundred one thousand, two hundred one".

Divisors: 1 13 109 1417 5273 68549 574757 1782961 7471841 23178493 194342749 2526455737 9401553353 122220193589 1024769315477 13322001101201