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13141343355201 = 332959714006523
BaseRepresentation
bin1011111100111011010100…
…0110100100000101000001
31201112022002210221220221000
42333032311012210011001
53210301432344331301
643541014431122213
72524300511322225
oct277166506440501
951468083856830
1013141343355201
114207237803546
121582a69373369
137442b9955139
14336089c1c785
1517bc832ae786
hexbf3b51a4141

13141343355201 has 64 divisors (see below), whose sum is σ = 20769820416000. Its totient is φ = 8198305577280.

The previous prime is 13141343355197. The next prime is 13141343355233. The reversal of 13141343355201 is 10255334314131.

13141343355201 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 13 + 433 + 5 + 5 + 201 = 666.

It is not a de Polignac number, because 13141343355201 - 22 = 13141343355197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13141343355241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1276726 + ... + 5283248.

It is an arithmetic number, because the mean of its divisors is an integer number (324528444000).

Almost surely, 213141343355201 is an apocalyptic number.

It is an amenable number.

13141343355201 is a deficient number, since it is larger than the sum of its proper divisors (7628477060799).

13141343355201 is a wasteful number, since it uses less digits than its factorization.

13141343355201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4006691 (or 4006685 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 13141343355201 its reverse (10255334314131), we get a palindrome (23396677669332).

The spelling of 13141343355201 in words is "thirteen trillion, one hundred forty-one billion, three hundred forty-three million, three hundred fifty-five thousand, two hundred one".

Divisors: 1 3 9 27 29 59 71 87 177 213 261 531 639 783 1593 1711 1917 2059 4189 5133 6177 12567 15399 18531 37701 46197 55593 113103 121481 364443 1093329 3279987 4006523 12019569 36058707 108176121 116189167 236384857 284463133 348567501 709154571 853389399 1045702503 2127463713 2560168197 3137107509 6382391139 6855160853 7680504591 8249430857 16783324847 20565482559 24748292571 50349974541 61696447677 74244877713 151049923623 185089343031 222734633139 453149770869 486716420563 1460149261689 4380447785067 13141343355201