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13101112301031 = 3229331151649041
BaseRepresentation
bin1011111010100101011100…
…1001010001010111100111
31201101110021001010121200200
42332221113021101113213
53204122034222113111
643510322400041543
72521344530105136
oct276512711212747
951343231117620
1013101112301031
1141a1172392047
1215771000032b3
13740577a64841
14334150aa791d
1517abcb387256
hexbea572515e7

13101112301031 has 24 divisors (see below), whose sum is σ = 19635517958160. Its totient is φ = 8407422777600.

The previous prime is 13101112301029. The next prime is 13101112301033. The reversal of 13101112301031 is 13010321110131.

13101112301031 is a `hidden beast` number, since 1 + 310 + 11 + 12 + 301 + 0 + 31 = 666.

It is an interprime number because it is at equal distance from previous prime (13101112301029) and next prime (13101112301033).

It is not a de Polignac number, because 13101112301031 - 21 = 13101112301029 is a prime.

It is a super-2 number, since 2×131011123010312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13101112300995 and 13101112301013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13101112301033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75738130 + ... + 75910911.

It is an arithmetic number, because the mean of its divisors is an integer number (818146581590).

Almost surely, 213101112301031 is an apocalyptic number.

13101112301031 is a deficient number, since it is larger than the sum of its proper divisors (6534405657129).

13101112301031 is a wasteful number, since it uses less digits than its factorization.

13101112301031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151649407 (or 151649404 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 13101112301031 its reverse (13010321110131), we get a palindrome (26111433411162).

The spelling of 13101112301031 in words is "thirteen trillion, one hundred one billion, one hundred twelve million, three hundred one thousand, thirty-one".

Divisors: 1 3 9 29 87 261 331 993 2979 9599 28797 86391 151649041 454947123 1364841369 4397822189 13193466567 39580399701 50195832571 150587497713 451762493139 1455679144559 4367037433677 13101112301031