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30421143413001 = 321131359180115331
BaseRepresentation
bin1101110101010111110010…
…11100100110000100001001
310222201020021210022210111100
412322223321130212010021
512441410000203204001
6144411140320052013
76256566202341555
oct672537134460411
9128636253283440
1030421143413001
1197695974195a0
1234b39a3464009
1313c89172c6053
14772569634865
1537b4cc9ec586
hex1baaf9726109

30421143413001 has 96 divisors (see below), whose sum is σ = 49651305799680. Its totient is φ = 17781573600000.

The previous prime is 30421143412949. The next prime is 30421143413041. The reversal of 30421143413001 is 10031434112403.

30421143413001 is a `hidden beast` number, since 3 + 0 + 4 + 2 + 1 + 14 + 341 + 300 + 1 = 666.

It is not a de Polignac number, because 30421143413001 - 218 = 30421143150857 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (30421143413041) 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 95 ways as a sum of consecutive naturals, for example, 1984281906 + ... + 1984297236.

It is an arithmetic number, because the mean of its divisors is an integer number (517201102080).

Almost surely, 230421143413001 is an apocalyptic number.

30421143413001 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

30421143413001 is a deficient number, since it is larger than the sum of its proper divisors (19230162386679).

30421143413001 is a wasteful number, since it uses less digits than its factorization.

30421143413001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17539 (or 17536 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 30421143413001 its reverse (10031434112403), we get a palindrome (40452577525404).

The spelling of 30421143413001 in words is "thirty trillion, four hundred twenty-one billion, one hundred forty-three million, four hundred thirteen thousand, one".

Divisors: 1 3 9 11 31 33 93 99 279 341 359 1023 1077 1801 3069 3231 3949 5403 11129 11847 15331 16209 19811 33387 35541 45993 55831 59433 100161 122419 137979 167493 168641 178299 367257 475261 502479 505923 614141 646559 1101771 1425783 1517769 1842423 1939677 4277349 5227871 5503829 5527269 5819031 7112149 15683613 16511487 20043329 21336447 27611131 47050839 49534461 60129987 60542119 64009341 82833393 170618699 180389961 181626357 220476619 248500179 303722441 511856097 544879071 661429857 855945061 911167323 1535568291 1876805689 1984289571 2567835183 2733501969 5630417067 7703505549 9415395671 9912396029 16891251201 28246187013 29737188087 84738561039 89211564261 109036356319 307284276899 327109068957 921852830697 981327206871 2765558492091 3380127045889 10140381137667 30421143413001