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13100020420301 = 317129733185461
BaseRepresentation
bin1011111010100001011000…
…0100000100111011001101
31201101100102221120022220122
42332220112010010323031
53204112320211422201
643510022153154325
72521305501216323
oct276502604047315
951340387508818
1013100020420301
1141a0762012981
121576a563bb9a5
13740432797679
14334089a7dd13
1517ab655a6e1b
hexbea16104ecd

13100020420301 has 8 divisors (see below), whose sum is σ = 13142362508184. Its totient is φ = 13057684729920.

The previous prime is 13100020420243. The next prime is 13100020420327. The reversal of 13100020420301 is 10302402000131.

It can be written as a sum of positive squares in 4 ways, for example, as 1897437375625 + 11202583044676 = 1377475^2 + 3347026^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13100020420301 - 218 = 13100020158157 is a prime.

It is a super-3 number, since 3×131000204203013 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13100020420301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13100020420351) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2519711 + ... + 5705171.

It is an arithmetic number, because the mean of its divisors is an integer number (1642795313523).

Almost surely, 213100020420301 is an apocalyptic number.

It is an amenable number.

13100020420301 is a deficient number, since it is larger than the sum of its proper divisors (42342087883).

13100020420301 is a wasteful number, since it uses less digits than its factorization.

13100020420301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3198751.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 13100020420301 its reverse (10302402000131), we get a palindrome (23402422420432).

The spelling of 13100020420301 in words is "thirteen trillion, one hundred billion, twenty million, four hundred twenty thousand, three hundred one".

Divisors: 1 317 12973 3185461 4112441 1009791137 41324985553 13100020420301