Search a number
-
+
11333202003320 = 2352922975756359
BaseRepresentation
bin1010010011101011011101…
…1110101100010101111000
31111010102222100000020020012
42210322313132230111320
52441140344203101240
640034222350521052
72246540211400331
oct244726736542570
944112870006205
1011333202003320
11367a42509077a
12133054a506188
13642940b08372
142b275c0ad288
15149c08b38b65
hexa4eb77ac578

11333202003320 has 128 divisors (see below), whose sum is σ = 26529666480000. Its totient is φ = 4352013453312.

The previous prime is 11333202003293. The next prime is 11333202003379. The reversal of 11333202003320 is 2330020233311.

It is a super-2 number, since 2×113332020033202 (a number of 27 digits) contains 22 as substring.

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, 201061301 + ... + 201117659.

It is an arithmetic number, because the mean of its divisors is an integer number (207263019375).

Almost surely, 211333202003320 is an apocalyptic number.

11333202003320 is a gapful number since it is divisible by the number (10) 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 11333202003320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13264833240000).

11333202003320 is an abundant number, since it is smaller than the sum of its proper divisors (15196464476680).

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

11333202003320 is a wasteful number, since it uses less digits than its factorization.

11333202003320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57385 (or 57381 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 11333202003320 its reverse (2330020233311), we get a palindrome (13663222236631).

The spelling of 11333202003320 in words is "eleven trillion, three hundred thirty-three billion, two hundred two million, three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 229 232 290 458 580 757 916 1145 1160 1514 1832 2290 3028 3785 4580 6056 6641 7570 9160 13282 15140 21953 26564 30280 33205 43906 53128 56359 66410 87812 109765 112718 132820 173353 175624 219530 225436 265640 281795 346706 439060 450872 563590 693412 866765 878120 1127180 1386824 1634411 1733530 2254360 3268822 3467060 5027237 6537644 6934120 8172055 10054474 12906211 13075288 16344110 20108948 25136185 25812422 32688220 40217896 42663763 50272370 51624844 64531055 65376440 85327526 100544740 103249688 129062110 170655052 201089480 213318815 258124220 341310104 374280119 426637630 516248440 748560238 853275260 1237249127 1497120476 1706550520 1871400595 2474498254 2994240952 3742801190 4948996508 6186245635 7485602380 9770001727 9897993016 12372491270 14971204760 19540003454 24744982540 39080006908 48850008635 49489965080 78160013816 97700017270 195400034540 283330050083 390800069080 566660100166 1133320200332 1416650250415 2266640400664 2833300500830 5666601001660 11333202003320