Search a number
-
+
2020221121100 = 22527131391597139
BaseRepresentation
bin11101011001011110100…
…011111111001001001100
321011010112200110020100012
4131121132203333021030
5231044403101333400
64144024325452352
7265645651124630
oct35313643771114
97133480406305
102020221121100
11709853179416
12287647b710b8
131186769acaa0
146daca294dc0
153783d375d35
hex1d65e8ff24c

2020221121100 has 144 divisors (see below), whose sum is σ = 5434364678400. Its totient is φ = 634766526720.

The previous prime is 2020221121063. The next prime is 2020221121133. The reversal of 2020221121100 is 11211220202.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 466331 + ... + 2063469.

It is an arithmetic number, because the mean of its divisors is an integer number (37738643600).

Almost surely, 22020221121100 is an apocalyptic number.

2020221121100 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 2020221121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2717182339200).

2020221121100 is an abundant number, since it is smaller than the sum of its proper divisors (3414143557300).

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

2020221121100 is a wasteful number, since it uses less digits than its factorization.

2020221121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1597312 (or 1597305 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2020221121100 its reverse (11211220202), we get a palindrome (2031432341302).

The spelling of 2020221121100 in words is "two trillion, twenty billion, two hundred twenty-one million, one hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 139 140 175 182 260 278 325 350 364 455 556 650 695 700 910 973 1300 1390 1807 1820 1946 2275 2780 3475 3614 3892 4550 4865 6950 7228 9035 9100 9730 12649 13900 18070 19460 24325 25298 36140 45175 48650 50596 63245 90350 97300 126490 180700 252980 316225 632450 1264900 1597139 3194278 6388556 7985695 11179973 15971390 20762807 22359946 31942780 39928475 41525614 44719892 55899865 79856950 83051228 103814035 111799730 145339649 159713900 207628070 222002321 223599460 279499325 290679298 415256140 444004642 519070175 558998650 581358596 726698245 888009284 1038140350 1110011605 1117997300 1453396490 1554016247 2076280700 2220023210 2886030173 2906792980 3108032494 3633491225 4440046420 5550058025 5772060346 6216064988 7266982450 7770081235 11100116050 11544120692 14430150865 14533964900 15540162470 20202211211 22200232100 28860301730 31080324940 38850406175 40404422422 57720603460 72150754325 77700812350 80808844844 101011056055 144301508650 155401624700 202022112110 288603017300 404044224220 505055280275 1010110560550 2020221121100