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13114111130001 = 3271423271153959
BaseRepresentation
bin1011111011010101110111…
…1011110111100110010001
31201102200210221201112210200
42332311131323313212101
53204330144422130001
643520312310045413
72522314620244530
oct276653573674621
951380727645720
1013114111130001
1141a6732937702
121579729349869
13741869b1650b
14334a2520a317
1517b1dc657086
hexbed5def7991

13114111130001 has 48 divisors (see below), whose sum is σ = 21672297553920. Its totient is φ = 7485610606560.

The previous prime is 13114111129979. The next prime is 13114111130017. The reversal of 13114111130001 is 10003111141131.

13114111130001 is a `hidden beast` number, since 1 + 311 + 41 + 1 + 11 + 300 + 0 + 1 = 666.

It is not a de Polignac number, because 13114111130001 - 25 = 13114111129969 is a prime.

It is a super-2 number, since 2×131141111300012 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13114111138001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 243011460 + ... + 243065418.

It is an arithmetic number, because the mean of its divisors is an integer number (451506199040).

Almost surely, 213114111130001 is an apocalyptic number.

It is an amenable number.

13114111130001 is a deficient number, since it is larger than the sum of its proper divisors (8558186423919).

13114111130001 is a wasteful number, since it uses less digits than its factorization.

13114111130001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58106 (or 58103 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 13114111130001 its reverse (10003111141131), we get a palindrome (23117222271132).

The spelling of 13114111130001 in words is "thirteen trillion, one hundred fourteen billion, one hundred eleven million, one hundred thirty thousand, one".

Divisors: 1 3 7 9 21 63 1423 2711 4269 8133 9961 12807 18977 24399 29883 53959 56931 89649 161877 170793 377713 485631 1133139 3399417 3857753 11573259 27004271 34719777 76783657 81012813 146282849 230350971 243038439 438848547 537485599 691052913 1023979943 1316545641 1612456797 3071939829 4837370391 9215819487 208160494127 624481482381 1457123458889 1873444447143 4371370376667 13114111130001