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220023113003300 = 225231163929468709
BaseRepresentation
bin110010000001110000011111…
…011111100011000100100100
31001212001000010001021210012102
4302001300133133203010210
5212314324313412101200
62055541120035311232
764226100564536615
oct6201603737430444
91055030101253172
10220023113003300
1164119307332902
1220815b5344b518
1395a0123b79119
143c49265787c0c
151a6848d1076d5
hexc81c1f7e3124

220023113003300 has 144 divisors (see below), whose sum is σ = 496410236044800. Its totient is φ = 84556423065600.

The previous prime is 220023113003297. The next prime is 220023113003347. The reversal of 220023113003300 is 3300311320022.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 469189346 + ... + 469658054.

Almost surely, 2220023113003300 is an apocalyptic number.

220023113003300 is a gapful number since it is divisible by the number (20) 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 220023113003300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248205118022400).

220023113003300 is an abundant number, since it is smaller than the sum of its proper divisors (276387123041500).

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

220023113003300 is a wasteful number, since it uses less digits than its factorization.

220023113003300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469846 (or 469839 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 220023113003300 its reverse (3300311320022), we get a palindrome (223323424323322).

The spelling of 220023113003300 in words is "two hundred twenty trillion, twenty-three billion, one hundred thirteen million, three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 163 310 326 620 652 775 815 929 1550 1630 1858 3100 3260 3716 4075 4645 5053 8150 9290 10106 16300 18580 20212 23225 25265 28799 46450 50530 57598 92900 101060 115196 126325 143995 151427 252650 287990 302854 468709 505300 575980 605708 719975 757135 937418 1439950 1514270 1874836 2343545 2879900 3028540 3785675 4687090 4694237 7571350 9374180 9388474 11717725 14529979 15142700 18776948 23435450 23471185 29059958 46870900 46942370 58119916 72649895 76399567 93884740 117355925 145299790 152799134 234711850 290599580 305598268 363249475 381997835 435430661 469423700 726498950 763995670 870861322 1452997900 1527991340 1741722644 1909989175 2177153305 2368386577 3819978350 4354306610 4736773154 7639956700 8708613220 9473546308 10885766525 11841932885 13498350491 21771533050 23683865770 26996700982 43543066100 47367731540 53993401964 59209664425 67491752455 70975197743 118419328850 134983504910 141950395486 236838657700 269967009820 283900790972 337458762275 354875988715 674917524550 709751977430 1349835049100 1419503954860 1774379943575 2200231130033 3548759887150 4400462260066 7097519774300 8800924520132 11001155650165 22002311300330 44004622600660 55005778250825 110011556501650 220023113003300