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2021220001220 = 2257210139751437
BaseRepresentation
bin11101011010011010000…
…110011010010111000100
321011020010022000121021012
4131122122012122113010
5231103424310014340
64144311411141352
7266012500352600
oct35323206322704
97136108017235
102021220001220
1170a215aa7882
122878865a4858
131187a5917304
146db82bd0500
153789add5565
hex1d69a19a5c4

2021220001220 has 144 divisors (see below), whose sum is σ = 4999095852912. Its totient is φ = 684386841600.

The previous prime is 2021220001123. The next prime is 2021220001243. The reversal of 2021220001220 is 221000221202.

It can be written as a sum of positive squares in 8 ways, for example, as 678027083776 + 1343192917444 = 823424^2 + 1158962^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 2021220001195 and 2021220001204.

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, 39269342 + ... + 39320778.

It is an arithmetic number, because the mean of its divisors is an integer number (34715943423).

Almost surely, 22021220001220 is an apocalyptic number.

2021220001220 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 2021220001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2499547926456).

2021220001220 is an abundant number, since it is smaller than the sum of its proper divisors (2977875851692).

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

2021220001220 is a wasteful number, since it uses less digits than its factorization.

2021220001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51958 (or 51949 counting only the distinct ones).

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

Adding to 2021220001220 its reverse (221000221202), we get a palindrome (2242220222422).

The spelling of 2021220001220 in words is "two trillion, twenty-one billion, two hundred twenty million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 101 140 196 202 245 397 404 490 505 707 794 980 1010 1414 1588 1985 2020 2779 2828 3535 3970 4949 5558 7070 7940 9898 11116 13895 14140 19453 19796 24745 27790 38906 40097 49490 51437 55580 77812 80194 97265 98980 102874 160388 194530 200485 205748 257185 280679 360059 389060 400970 514370 561358 720118 801940 1028740 1122716 1403395 1440236 1800295 1964753 2520413 2806790 3600590 3929506 5040826 5195137 5613580 7201180 7859012 9823765 10081652 10390274 12602065 19647530 20420489 20780548 25204130 25975685 36365959 39295060 40840978 50408260 51951370 72731918 81681956 102102445 103902740 142943423 145463836 181829795 204204890 254561713 285886846 363659590 408409780 509123426 571773692 714717115 727319180 1000603961 1018246852 1272808565 1429434230 2001207922 2062469389 2545617130 2858868460 4002415844 4124938778 5003019805 5091234260 8249877556 10006039610 10312346945 14437285723 20012079220 20624693890 28874571446 41249387780 57749142892 72186428615 101061000061 144372857230 202122000122 288745714460 404244000244 505305000305 1010610000610 2021220001220