Search a number
-
+
30202033003032 = 23311311493774509
BaseRepresentation
bin1101101110111111101010…
…11100101101101000011000
310221221021201121102200212010
412313133311130231220120
512424312230422044112
6144122342235345520
76235011350521602
oct667376534555030
9127837647380763
1030202033003032
1196946792a0550
1234794338b22a0
1313b10689bc5a7
14765b01478172
1537595697e63c
hex1b77f572da18

30202033003032 has 128 divisors (see below), whose sum is σ = 82651880563200. Its totient is φ = 9120732902400.

The previous prime is 30202033003007. The next prime is 30202033003057. The reversal of 30202033003032 is 23030033020203.

It is an interprime number because it is at equal distance from previous prime (30202033003007) and next prime (30202033003057).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 405310194 + ... + 405384702.

It is an arithmetic number, because the mean of its divisors is an integer number (645717816900).

Almost surely, 230202033003032 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 30202033003032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41325940281600).

30202033003032 is an abundant number, since it is smaller than the sum of its proper divisors (52449847560168).

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

30202033003032 is a wasteful number, since it uses less digits than its factorization.

30202033003032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79777 (or 79773 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 21.

Adding to 30202033003032 its reverse (23030033020203), we get a palindrome (53232066023235).

The spelling of 30202033003032 in words is "thirty trillion, two hundred two billion, thirty-three million, three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 311 622 933 1244 1866 2488 3421 3732 4937 6842 7464 9874 10263 13684 14811 19748 20526 27368 29622 39496 41052 54307 59244 74509 82104 108614 118488 149018 162921 217228 223527 298036 325842 434456 447054 596072 651684 819599 894108 1303368 1535407 1639198 1788216 2458797 3070814 3278396 4606221 4917594 6141628 6556792 9212442 9835188 12283256 16889477 18424884 19670376 23172299 33778954 36849768 46344598 50668431 67557908 69516897 92689196 101336862 135115816 139033794 185378392 202673724 254895289 278067588 367850933 405347448 509790578 556135176 735701866 764685867 1019581156 1103552799 1471403732 1529371734 2039162312 2207105598 2942807464 3058743468 4046360263 4414211196 6117486936 8092720526 8828422392 12139080789 16185441052 24278161578 32370882104 48556323156 97112646312 114401640163 228803280326 343204920489 457606560652 686409840978 915213121304 1258418041793 1372819681956 2516836083586 2745639363912 3775254125379 5033672167172 7550508250758 10067344334344 15101016501516 30202033003032