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20330311320300 = 223521719387205619
BaseRepresentation
bin1001001111101100001001…
…11111000000001011101100
32122222120002100111010221110
410213312010333000023230
510131042434144222200
6111123341024032020
74165550031641412
oct447660477001354
978876070433843
1020330311320300
116529044803973
122344198162610
13b461a8b3a017
14503dc6cc72b2
15253c88666b50
hex127d84fc02ec

20330311320300 has 144 divisors (see below), whose sum is σ = 62286022189440. Its totient is φ = 5102221501440.

The previous prime is 20330311320271. The next prime is 20330311320329. The reversal of 20330311320300 is 302311303302.

It is an interprime number because it is at equal distance from previous prime (20330311320271) and next prime (20330311320329).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98770891 + ... + 98976509.

It is an arithmetic number, because the mean of its divisors is an integer number (432541820760).

Almost surely, 220330311320300 is an apocalyptic number.

20330311320300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20330311320300 is an abundant number, since it is smaller than the sum of its proper divisors (41955710869140).

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

20330311320300 is a wasteful number, since it uses less digits than its factorization.

20330311320300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225040 (or 225033 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 20330311320300 its reverse (302311303302), we get a palindrome (20632622623602).

The spelling of 20330311320300 in words is "twenty trillion, three hundred thirty billion, three hundred eleven million, three hundred twenty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 850 1020 1275 1700 2550 5100 19387 38774 58161 77548 96935 116322 193870 205619 232644 290805 329579 387740 411238 484675 581610 616857 659158 822476 969350 988737 1028095 1163220 1233714 1318316 1454025 1647895 1938700 1977474 2056190 2467428 2908050 3084285 3295790 3495523 3954948 4112380 4943685 5140475 5816100 6168570 6591580 6991046 8239475 9887370 10280950 10486569 12337140 13982092 15421425 16478950 17477615 19774740 20561900 20973138 24718425 30842850 32957900 34955230 41946276 49436850 52432845 61685700 69910460 87388075 98873700 104865690 174776150 209731380 262164225 349552300 524328450 1048656900 3986335553 7972671106 11959006659 15945342212 19931677765 23918013318 39863355530 47836026636 59795033295 67767704401 79726711060 99658388825 119590066590 135535408802 199316777650 203303113203 239180133180 271070817604 298975166475 338838522005 398633555300 406606226406 597950332950 677677044010 813212452812 1016515566015 1195900665900 1355354088020 1694192610025 2033031132030 3388385220050 4066062264060 5082577830075 6776770440100 10165155660150 20330311320300