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30331233003032 = 231337137149386143
BaseRepresentation
bin1101110010110000010100…
…10111100110011000011000
310222101122012210000201210022
412321120022113212120120
512433421331122044112
6144301550500010012
76250234141432463
oct671301227463030
9128348183021708
1030331233003032
119734449329855
12349a490690908
1313c02b8c11230
1476c07a5b82da
15378eb946ad72
hex1b960a5e6618

30331233003032 has 128 divisors (see below), whose sum is σ = 63785582784000. Its totient is φ = 13430475952128.

The previous prime is 30331233003031. The next prime is 30331233003047. The reversal of 30331233003032 is 23030033213303.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 30331233002992 and 30331233003010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30331233003031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78356153 + ... + 78742295.

It is an arithmetic number, because the mean of its divisors is an integer number (498324865500).

Almost surely, 230331233003032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30331233003032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31892791392000).

30331233003032 is an abundant number, since it is smaller than the sum of its proper divisors (33454349780968).

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

30331233003032 is a wasteful number, since it uses less digits than its factorization.

30331233003032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386485 (or 386481 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 26.

Adding to 30331233003032 its reverse (23030033213303), we get a palindrome (53361266216335).

The spelling of 30331233003032 in words is "thirty trillion, three hundred thirty-one billion, two hundred thirty-three million, three thousand, thirty-two".

Divisors: 1 2 4 8 13 26 37 52 74 104 137 148 149 274 296 298 481 548 596 962 1096 1192 1781 1924 1937 3562 3848 3874 5069 5513 7124 7748 10138 11026 14248 15496 20276 20413 22052 40552 40826 44104 65897 71669 81652 131794 143338 163304 263588 265369 286676 386143 527176 530738 573352 755281 772286 1061476 1510562 1544572 2122952 3021124 3089144 5019859 6042248 9818653 10039718 14287291 19637306 20079436 28574582 39274612 40158872 52901591 57149164 57535307 78549224 105803182 114298328 115070614 185734783 211606364 230141228 371469566 423212728 460282456 687720683 742939132 747958991 1375441366 1485878264 1495917982 1957358867 2128806359 2750882732 2991835964 3914717734 4257612718 5501765464 5983671928 7829435468 7882337059 8515225436 15658870936 15764674118 17030450872 25445665271 27674482667 31529348236 50891330542 55348965334 63058696472 101782661084 102470381767 110697930668 203565322168 204940763534 221395861336 291646471183 409881527068 583292942366 819763054136 1166585884732 2333171769464 3791404125379 7582808250758 15165616501516 30331233003032