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30231212322330 = 232511329531006633
BaseRepresentation
bin1101101111110110000001…
…01010111110111000011010
310222001002001011110200221200
412313323000222332320122
512430302010323303310
6144144005513415030
76240063423611415
oct667730052767032
9128032034420850
1030231212322330
1196a5a92258a68
123483017a0a476
1313b3a390405b6
147672ac8d2b7c
153765b34e89c0
hex1b7ec0abee1a

30231212322330 has 96 divisors (see below), whose sum is σ = 79323669197136. Its totient is φ = 7987600760832.

The previous prime is 30231212322313. The next prime is 30231212322359. The reversal of 30231212322330 is 3322321213203.

30231212322330 is a `hidden beast` number, since 3 + 0 + 2 + 3 + 1 + 2 + 1 + 2 + 322 + 330 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6125164658649 + 24106047663681 = 2474907^2 + 4909791^2 .

It is a junction number, because it is equal to n+sod(n) for n = 30231212322294 and 30231212322303.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29528694 + ... + 30535326.

Almost surely, 230231212322330 is an apocalyptic number.

30231212322330 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 30231212322330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39661834598568).

30231212322330 is an abundant number, since it is smaller than the sum of its proper divisors (49092456874806).

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

30231212322330 is a wasteful number, since it uses less digits than its factorization.

30231212322330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009712 (or 1009709 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 30231212322330 its reverse (3322321213203), we get a palindrome (33553533535533).

The spelling of 30231212322330 in words is "thirty trillion, two hundred thirty-one billion, two hundred twelve million, three hundred twenty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 113 226 339 565 678 1017 1130 1695 2034 2953 3390 5085 5906 8859 10170 14765 17718 26577 29530 44295 53154 88590 132885 265770 333689 667378 1001067 1006633 1668445 2002134 2013266 3003201 3019899 3336890 5005335 5033165 6006402 6039798 9059697 10010670 10066330 15016005 15099495 18119394 30032010 30198990 45298485 90596970 113749529 227499058 341248587 568747645 682497174 1023745761 1137495290 1706242935 2047491522 2972587249 3412485870 5118728805 5945174498 8917761747 10237457610 14862936245 17835523494 26753285241 29725872490 44588808735 53506570482 89177617470 133766426205 267532852410 335902359137 671804718274 1007707077411 1679511795685 2015414154822 3023121232233 3359023591370 5038535387055 6046242464466 10077070774110 15115606161165 30231212322330