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13001321421 = 3411177331171
BaseRepresentation
bin11000001101111000…
…00110101111001101
31020120002021120010000
430012330012233031
5203111314241141
65550035234513
7640120260114
oct140674065715
936502246100
1013001321421
1155719a8240
12262a148a39
1312c27452ca
148b49d0c7b
155116135b6
hex306f06bcd

13001321421 has 80 divisors (see below), whose sum is σ = 22483441728. Its totient is φ = 7399641600.

The previous prime is 13001321419. The next prime is 13001321429. The reversal of 13001321421 is 12412310031.

13001321421 is a `hidden beast` number, since 1 + 300 + 1 + 321 + 42 + 1 = 666.

It is not a de Polignac number, because 13001321421 - 21 = 13001321419 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13001321394 and 13001321403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13001321429) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11102166 + ... + 11103336.

Almost surely, 213001321421 is an apocalyptic number.

13001321421 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13001321421 is a deficient number, since it is larger than the sum of its proper divisors (9482120307).

13001321421 is a wasteful number, since it uses less digits than its factorization.

13001321421 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1944 (or 1935 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13001321421 its reverse (12412310031), we get a palindrome (25413631452).

The spelling of 13001321421 in words is "thirteen billion, one million, three hundred twenty-one thousand, four hundred twenty-one".

Divisors: 1 3 9 11 17 27 33 51 81 99 153 187 297 459 561 733 891 1171 1377 1683 2199 3513 5049 6597 8063 10539 12461 12881 15147 19791 19907 24189 31617 37383 38643 59373 59721 72567 94851 112149 115929 137071 179163 217701 218977 336447 347787 411213 537489 653103 656931 858343 1009341 1043361 1233639 1612467 1970793 2575029 3700917 5912379 7725087 9441773 11102751 14591831 17737137 23175261 28325319 43775493 69525783 84975957 131326479 160510141 254927871 393979437 481530423 764783613 1181938311 1444591269 4333773807 13001321421