Search a number
-
+
20023301211330 = 2356146737096317
BaseRepresentation
bin1001000110110000010011…
…10000011000010011000010
32121220012122021210200111210
410203120021300120103002
510111030210102230310
6110330324431550550
74134431033034414
oct443301160302302
977805567720453
1020023301211330
11641a91a588a8a
1222b479708b456
13b2325c8a6151
144d31c0b569b4
1524acba843820
hex123609c184c2

20023301211330 has 128 divisors (see below), whose sum is σ = 48969263266560. Its totient is φ = 5238524759040.

The previous prime is 20023301211271. The next prime is 20023301211349. The reversal of 20023301211330 is 3311210332002.

It is a junction number, because it is equal to n+sod(n) for n = 20023301211297 and 20023301211306.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3169745332 + ... + 3169751648.

It is an arithmetic number, because the mean of its divisors is an integer number (382572369270).

Almost surely, 220023301211330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20023301211330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24484631633280).

20023301211330 is an abundant number, since it is smaller than the sum of its proper divisors (28945962055230).

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

20023301211330 is a wasteful number, since it uses less digits than its factorization.

20023301211330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10564.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 20023301211330 its reverse (3311210332002), we get a palindrome (23334511543332).

The spelling of 20023301211330 in words is "twenty trillion, twenty-three billion, three hundred one million, two hundred eleven thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 61 122 183 305 366 467 610 915 934 1401 1830 2335 2802 3709 4670 6317 7005 7418 11127 12634 14010 18545 18951 22254 28487 31585 37090 37902 55635 56974 63170 85461 94755 111270 142435 170922 189510 226249 284870 385337 427305 452498 678747 770674 854610 1131245 1156011 1357494 1732103 1926685 2262490 2312022 2950039 3393735 3464206 3853370 5196309 5780055 5900078 6787470 8660515 8850117 10392618 11560110 14750195 17321030 17700234 23429753 25981545 29500390 44250585 46859506 51963090 70289259 88501170 105658283 117148765 140578518 179952379 211316566 234297530 316974849 351446295 359904758 528291415 539857137 633949698 702892590 899761895 1056582830 1079714274 1429214933 1584874245 1799523790 2699285685 2858429866 3169748490 4287644799 5398571370 7146074665 8575289598 10941694651 14292149330 21438223995 21883389302 32825083953 42876447990 54708473255 65650167906 109416946510 164125419765 328250839530 667443373711 1334886747422 2002330121133 3337216868555 4004660242266 6674433737110 10011650605665 20023301211330