Search a number
-
+
3033332102300 = 2252294731876983
BaseRepresentation
bin101100001001000000101…
…011101011010010011100
3101201222120010111111212112
4230021000223223102130
5344144231004233200
610241254334053152
7432102540310643
oct54110053532234
911658503444775
103033332102300
11a6a479990565
1240ba6894a1b8
13190071337166
14a6b57ab635a
1553d85b62535
hex2c240aeb49c

3033332102300 has 144 divisors (see below), whose sum is σ = 6957364700160. Its totient is φ = 1146044471040.

The previous prime is 3033332102257. The next prime is 3033332102303. The reversal of 3033332102300 is 32012333303.

It is a super-2 number, since 2×30333321023002 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3033332102303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 434384609 + ... + 434391591.

It is an arithmetic number, because the mean of its divisors is an integer number (48315032640).

Almost surely, 23033332102300 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 3033332102300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3478682350080).

3033332102300 is an abundant number, since it is smaller than the sum of its proper divisors (3924032597860).

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

3033332102300 is a wasteful number, since it uses less digits than its factorization.

3033332102300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10260 (or 10253 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 23.

Adding to 3033332102300 its reverse (32012333303), we get a palindrome (3065344435603).

The spelling of 3033332102300 in words is "three trillion, thirty-three billion, three hundred thirty-two million, one hundred two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 47 50 58 94 100 116 145 188 235 290 470 580 725 940 1175 1363 1450 2350 2726 2900 3187 4700 5452 6374 6815 6983 12748 13630 13966 15935 27260 27932 31870 34075 34915 63740 68150 69830 79675 92423 136300 139660 149789 159350 174575 184846 202507 299578 318700 328201 349150 369692 405014 462115 599156 656402 698300 748945 810028 924230 1012535 1312804 1497890 1641005 1848460 2025070 2310575 2995780 3282010 3744725 4050140 4343881 4621150 5062675 6564020 7489450 8205025 8687762 9242300 9517829 10125350 14978900 16410050 17375524 19035658 20250700 21719405 22254821 32820100 38071316 43438810 44509642 47589145 86877620 89019284 95178290 108597025 111274105 190356580 217194050 222548210 237945725 434388100 445096420 475891450 556370525 645389809 951782900 1045976587 1112741050 1290779618 2091953174 2225482100 2581559236 3226949045 4183906348 5229882935 6453898090 10459765870 12907796180 16134745225 20919531740 26149414675 30333321023 32269490450 52298829350 60666642046 64538980900 104597658700 121333284092 151666605115 303333210230 606666420460 758333025575 1516666051150 3033332102300