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200220122021000 = 23531993111131769
BaseRepresentation
bin101101100001100101100001…
…001111111111110010001000
3222020220212010120001022122212
4231201211201033333302020
5202220401302214133000
61545455504304204252
760113266162525004
oct5541454117776210
9866825116038585
10200220122021000
1158883971175774
121a558001909688
1387948a4339753
1437629c42b1704
1518232b8d33c35
hexb619613ffc88

200220122021000 has 128 divisors (see below), whose sum is σ = 493227176832000. Its totient is φ = 75864672576000.

The previous prime is 200220122020987. The next prime is 200220122021021. The reversal of 200220122021000 is 120221022002.

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, 176343116 + ... + 177474884.

It is an arithmetic number, because the mean of its divisors is an integer number (3853337319000).

Almost surely, 2200220122021000 is an apocalyptic number.

200220122021000 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 200220122021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246613588416000).

200220122021000 is an abundant number, since it is smaller than the sum of its proper divisors (293007054811000).

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

200220122021000 is a wasteful number, since it uses less digits than its factorization.

200220122021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141120 (or 1141106 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 200220122021000 its reverse (120221022002), we get a palindrome (200340343043002).

The spelling of 200220122021000 in words is "two hundred trillion, two hundred twenty billion, one hundred twenty-two million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 190 200 250 380 475 500 760 950 1000 1900 2375 3800 4750 9311 9500 18622 19000 37244 46555 74488 93110 176909 186220 232775 353818 372440 465550 707636 884545 931100 1131769 1163875 1415272 1769090 1862200 2263538 2327750 3538180 4422725 4527076 4655500 5658845 7076360 8845450 9054152 9311000 11317690 17690900 21503611 22113625 22635380 28294225 35381800 43007222 44227250 45270760 56588450 86014444 88454500 107518055 113176900 141471125 172028888 176909000 215036110 226353800 282942250 430072220 537590275 565884500 860144440 1075180550 1131769000 2150361100 2687951375 4300722200 5375902750 10537901159 10751805500 21075802318 21503611000 42151604636 52689505795 84303209272 105379011590 200220122021 210758023180 263447528975 400440244042 421516046360 526895057950 800880488084 1001100610105 1053790115900 1317237644875 1601760976168 2002201220210 2107580231800 2634475289750 4004402440420 5005503050525 5268950579500 8008804880840 10011006101050 10537901159000 20022012202100 25027515252625 40044024404200 50055030505250 100110061010500 200220122021000