Search a number
-
+
30033002323320 = 23351317332606407
BaseRepresentation
bin1101101010000100110100…
…11011110101110101111000
310221100010102120101111012020
412311002122123311311320
512414030042043321240
6143512545405314440
76216545536455243
oct665023233656570
9127303376344166
1030033002323320
119629a19942027
12345071b865a20
13139b13b820209
1475b86844425a
153713622a50d0
hex1b509a6f5d78

30033002323320 has 128 divisors (see below), whose sum is σ = 90910676989440. Its totient is φ = 7936819038720.

The previous prime is 30033002323237. The next prime is 30033002323403. The reversal of 30033002323320 is 2332320033003.

It is an interprime number because it is at equal distance from previous prime (30033002323237) and next prime (30033002323403).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 10219557 + ... + 12825963.

It is an arithmetic number, because the mean of its divisors is an integer number (710239663980).

Almost surely, 230033002323320 is an apocalyptic number.

30033002323320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30033002323320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45455338494720).

30033002323320 is an abundant number, since it is smaller than the sum of its proper divisors (60877674666120).

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

30033002323320 is a wasteful number, since it uses less digits than its factorization.

30033002323320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2607285 (or 2607281 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 24.

Adding to 30033002323320 its reverse (2332320033003), we get a palindrome (32365322356323).

The spelling of 30033002323320 in words is "thirty trillion, thirty-three billion, two million, three hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 131 262 393 524 655 733 786 1048 1310 1466 1572 1965 2199 2620 2932 3144 3665 3930 4398 5240 5864 7330 7860 8796 10995 14660 15720 17592 21990 29320 43980 87960 96023 192046 288069 384092 480115 576138 768184 960230 1152276 1440345 1920460 2304552 2606407 2880690 3840920 5212814 5761380 7819221 10425628 11522760 13032035 15638442 20851256 26064070 31276884 39096105 52128140 62553768 78192210 104256280 156384420 312768840 341439317 682878634 1024317951 1365757268 1707196585 1910496331 2048635902 2731514536 3414393170 3820992662 4097271804 5121589755 5731488993 6828786340 7641985324 8194543608 9552481655 10243179510 11462977986 13657572680 15283970648 19104963310 20486359020 22925955972 28657444965 38209926620 40972718040 45851911944 57314889930 76419853240 114629779860 229259559720 250275019361 500550038722 750825058083 1001100077444 1251375096805 1501650116166 2002200154888 2502750193610 3003300232332 3754125290415 5005500387220 6006600464664 7508250580830 10011000774440 15016501161660 30033002323320