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13201311403301 = 773307463181751
BaseRepresentation
bin1100000000011010101101…
…1110100000110100100101
31201202000220002102101220112
43000012223132200310211
53212242241204401201
644024333154342405
72531522542321550
oct300065336406445
951660802371815
1013201311403301
11422a71014767a
12159260458aa05
13749b558a5a78
14338d38355697
1517d5e2d000bb
hexc01ab7a0d25

13201311403301 has 32 divisors (see below), whose sum is σ = 15376928759808. Its totient is φ = 11099963952000.

The previous prime is 13201311403277. The next prime is 13201311403351. The reversal of 13201311403301 is 10330411310231.

It is not a de Polignac number, because 13201311403301 - 210 = 13201311402277 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13201311403351) 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 31 ways as a sum of consecutive naturals, for example, 72543176 + ... + 72724926.

It is an arithmetic number, because the mean of its divisors is an integer number (480529023744).

Almost surely, 213201311403301 is an apocalyptic number.

It is an amenable number.

13201311403301 is a deficient number, since it is larger than the sum of its proper divisors (2175617356507).

13201311403301 is a wasteful number, since it uses less digits than its factorization.

13201311403301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182601.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 13201311403301 its reverse (10330411310231), we get a palindrome (23531722713532).

The spelling of 13201311403301 in words is "thirteen trillion, two hundred one billion, three hundred eleven million, four hundred three thousand, three hundred one".

Divisors: 1 7 73 307 463 511 2149 3241 22411 33799 142141 156877 181751 236593 994987 1272257 10376293 13267823 55797557 72634051 84150713 92874761 390582899 589054991 4073221661 6143002049 25834268891 28512551627 43001014343 180839882237 1885901629043 13201311403301