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30320121003210 = 23258916092352569
BaseRepresentation
bin1101110010011011101000…
…00010101011110011001010
310222100120112100211122200100
412321031310002223303022
512433231101434100320
6144252512111150230
76246361602125523
oct671156402536312
9128316470748610
1030320121003210
11972a766953925
1234982ab215376
1313bc237a311cc
1476b7048b184a
15378a68b56790
hex1b93740abcca

30320121003210 has 96 divisors (see below), whose sum is σ = 79767649962000. Its totient is φ = 7989546774528.

The previous prime is 30320121003209. The next prime is 30320121003269. The reversal of 30320121003210 is 1230012102303.

30320121003210 is a `hidden beast` number, since 3 + 0 + 320 + 1 + 21 + 0 + 0 + 321 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 8253962366841 + 22066158636369 = 2872971^2 + 4697463^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 11711806 + ... + 14064374.

Almost surely, 230320121003210 is an apocalyptic number.

30320121003210 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30320121003210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39883824981000).

30320121003210 is an abundant number, since it is smaller than the sum of its proper divisors (49447528958790).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30320121003210 is a wasteful number, since it uses less digits than its factorization.

30320121003210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2354280 (or 2354277 counting only the distinct ones).

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

Adding to 30320121003210 its reverse (1230012102303), we get a palindrome (31550133105513).

The spelling of 30320121003210 in words is "thirty trillion, three hundred twenty billion, one hundred twenty-one million, three thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 89 90 178 267 445 534 801 890 1335 1602 1609 2670 3218 4005 4827 8010 8045 9654 14481 16090 24135 28962 48270 72405 143201 144810 286402 429603 716005 859206 1288809 1432010 2148015 2352569 2577618 4296030 4705138 6444045 7057707 11762845 12888090 14115414 21173121 23525690 35288535 42346242 70577070 105865605 209378641 211731210 418757282 628135923 1046893205 1256271846 1884407769 2093786410 3140679615 3768815538 3785283521 6281359230 7570567042 9422038845 11355850563 18844077690 18926417605 22711701126 34067551689 37852835210 56779252815 68135103378 113558505630 170337758445 336890233369 340675516890 673780466738 1010670700107 1684451166845 2021341400214 3032012100321 3368902333690 5053353500535 6064024200642 10106707001070 15160060501605 30320121003210