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13100014301241 = 3759239401110321
BaseRepresentation
bin1011111010100001010110…
…1100101111000000111001
31201101100102112001110010210
42332220111230233000321
53204112312130114431
643510021414101333
72521305365212440
oct276502554570071
951340375043123
1013100014301241
1141a07596135aa
121576a5434a849
1374043143441a
14334088d29d57
1517ab64c98d46
hexbea15b2f039

13100014301241 has 64 divisors (see below), whose sum is σ = 20436223795200. Its totient is φ = 7309714944000.

The previous prime is 13100014301191. The next prime is 13100014301249. The reversal of 13100014301241 is 14210341000131.

It is not a de Polignac number, because 13100014301241 - 230 = 13098940559417 is a prime.

It is a super-2 number, since 2×131000143012412 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (13100014301249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 118689361 + ... + 118799681.

It is an arithmetic number, because the mean of its divisors is an integer number (319315996800).

Almost surely, 213100014301241 is an apocalyptic number.

It is an amenable number.

13100014301241 is a deficient number, since it is larger than the sum of its proper divisors (7336209493959).

13100014301241 is a wasteful number, since it uses less digits than its factorization.

13100014301241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111030.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 13100014301241 its reverse (14210341000131), we get a palindrome (27310355301372).

The spelling of 13100014301241 in words is "thirteen trillion, one hundred billion, fourteen million, three hundred one thousand, two hundred forty-one".

Divisors: 1 3 7 21 59 177 239 401 413 717 1203 1239 1673 2807 5019 8421 14101 23659 42303 70977 95839 98707 110321 165613 287517 296121 330963 496839 670873 772247 2012619 2316741 5654501 6508939 16963503 19526817 26366719 39581507 44238721 45562573 79100157 118744521 132716163 136687719 184567033 309671047 553701099 929013141 1555636421 2610084539 4666909263 7830253617 10573054319 10889454947 18270591773 31719162957 32668364841 54811775319 74011380233 222034140699 623810204821 1871430614463 4366671433747 13100014301241