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13001031122103 = 343147110162359
BaseRepresentation
bin1011110100110000100111…
…0101110111110010110111
31201000212221012201221220000
42331030021311313302313
53201002102431401403
643352331413042343
72511202446113313
oct275141165676267
951025835657800
1013001031122103
114162785150022
12155b82b0263b3
13733cb84a123b
1432d378d54b43
151782bee647a3
hexbd309d77cb7

13001031122103 has 40 divisors (see below), whose sum is σ = 20474335580160. Its totient is φ = 8209298918160.

The previous prime is 13001031122099. The next prime is 13001031122111. The reversal of 13001031122103 is 30122113010031.

13001031122103 is a `hidden beast` number, since 130 + 0 + 1 + 0 + 311 + 221 + 0 + 3 = 666.

It is not a de Polignac number, because 13001031122103 - 22 = 13001031122099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13001031122113) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 54963163 + ... + 55199196.

It is an arithmetic number, because the mean of its divisors is an integer number (511858389504).

Almost surely, 213001031122103 is an apocalyptic number.

13001031122103 is a deficient number, since it is larger than the sum of its proper divisors (7473304458057).

13001031122103 is a wasteful number, since it uses less digits than its factorization.

13001031122103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110162449 (or 110162440 counting only the distinct ones).

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

Adding to 13001031122103 its reverse (30122113010031), we get a palindrome (43123144132134).

The spelling of 13001031122103 in words is "thirteen trillion, one billion, thirty-one million, one hundred twenty-two thousand, one hundred three".

Divisors: 1 3 9 27 31 47 81 93 141 279 423 837 1269 1457 2511 3807 4371 13113 39339 118017 110162359 330487077 991461231 2974383693 3415033129 5177630873 8923151079 10245099387 15532892619 30735298161 46598677857 92205894483 139796033571 160506557063 276617683449 419388100713 481519671189 1444559013567 4333677040701 13001031122103