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13430132001 = 32111353401491
BaseRepresentation
bin11001000000111111…
…11000110100100001
31021122222011101122100
430200133320310201
5210001103211001
610100354201013
7653545144536
oct144037706441
937588141570
1013430132001
115771a60a50
122729883169
131360533390
14915934d8d
155390b8586
hex3207f8d21

13430132001 has 96 divisors (see below), whose sum is σ = 23325853824. Its totient is φ = 7338240000.

The previous prime is 13430131997. The next prime is 13430132041. The reversal of 13430132001 is 10023103431.

13430132001 is a `hidden beast` number, since 1 + 343 + 0 + 1 + 320 + 0 + 1 = 666.

It is not a de Polignac number, because 13430132001 - 22 = 13430131997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13430132041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27352366 + ... + 27352856.

It is an arithmetic number, because the mean of its divisors is an integer number (242977644).

Almost surely, 213430132001 is an apocalyptic number.

13430132001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13430132001 is a deficient number, since it is larger than the sum of its proper divisors (9895721823).

13430132001 is a wasteful number, since it uses less digits than its factorization.

13430132001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13430132001 its reverse (10023103431), we get a palindrome (23453235432).

The spelling of 13430132001 in words is "thirteen billion, four hundred thirty million, one hundred thirty-two thousand, one".

Divisors: 1 3 9 11 13 33 39 53 99 117 143 159 401 429 477 491 583 689 1203 1287 1473 1749 2067 3609 4411 4419 5213 5247 5401 6201 6383 7579 13233 15639 16203 19149 21253 22737 26023 39699 46917 48609 57343 57447 63759 68211 70213 78069 172029 191277 196891 210639 233783 234207 276289 286253 338299 516087 590673 631917 701349 828867 858759 1014897 1772019 2104047 2165801 2486601 2559583 2576277 3039179 3044691 3721289 6497403 7678749 9117537 10435223 11163867 19492209 23036247 27352611 28155413 31305669 33491601 84466239 93917007 114787453 135657899 253398717 344362359 406973697 1033087077 1220921091 1492236889 4476710667 13430132001