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13042200300031 = 717571191941019
BaseRepresentation
bin1011110111001001111110…
…1101110100100111111111
31201011211012100210212222201
42331302133231310213333
53202140411234100111
643423300515252331
72514160611261160
oct275623755644777
951154170725881
1013042200300031
114179191072811
1215677ba5aa0a7
13737b49845a56
1433136290b767
151793ce3e96c1
hexbdc9fb749ff

13042200300031 has 16 divisors (see below), whose sum is σ = 15809797935360. Its totient is φ = 10503012504960.

The previous prime is 13042200300023. The next prime is 13042200300047. The reversal of 13042200300031 is 13000300224031.

It is a cyclic number.

It is not a de Polignac number, because 13042200300031 - 23 = 13042200300023 is a prime.

It is a super-2 number, since 2×130422003000312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13042200299981 and 13042200300008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13042200300061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95902561 + ... + 96038458.

It is an arithmetic number, because the mean of its divisors is an integer number (988112370960).

Almost surely, 213042200300031 is an apocalyptic number.

13042200300031 is a deficient number, since it is larger than the sum of its proper divisors (2767597635329).

13042200300031 is a wasteful number, since it uses less digits than its factorization.

13042200300031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191941614.

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 13042200300031 its reverse (13000300224031), we get a palindrome (26042500524062).

The spelling of 13042200300031 in words is "thirteen trillion, forty-two billion, two hundred million, three hundred thousand, thirty-one".

Divisors: 1 7 17 119 571 3997 9707 67949 191941019 1343587133 3262997323 22840981261 109598321849 767188252943 1863171471433 13042200300031