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2101021002220 = 2257431414324677
BaseRepresentation
bin11110100100101110100…
…111000100100111101100
321102212002202200110221211
4132210232213010213230
5233410342334032340
64245110135404204
7304536154566310
oct36445647044754
97385082613854
102101021002220
11740046644a78
1229b237823664
1312318275562a
1473993367b40
15399bbb965ea
hex1e92e9c49ec

2101021002220 has 96 divisors (see below), whose sum is σ = 5160290623488. Its totient is φ = 703519471872.

The previous prime is 2101021002211. The next prime is 2101021002239. The reversal of 2101021002220 is 222001201012.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2101021002220.

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, 85128522 + ... + 85153198.

It is an arithmetic number, because the mean of its divisors is an integer number (53753027328).

Almost surely, 22101021002220 is an apocalyptic number.

2101021002220 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 2101021002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2580145311744).

2101021002220 is an abundant number, since it is smaller than the sum of its proper divisors (3059269621268).

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

2101021002220 is a wasteful number, since it uses less digits than its factorization.

2101021002220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38879 (or 38877 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2101021002220 its reverse (222001201012), we get a palindrome (2323022203232).

The spelling of 2101021002220 in words is "two trillion, one hundred one billion, twenty-one million, two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 70 86 140 172 215 301 430 602 860 1204 1505 3010 6020 14143 24677 28286 49354 56572 70715 98708 99001 123385 141430 172739 198002 246770 282860 345478 396004 493540 495005 608149 690956 863695 990010 1061111 1216298 1727390 1980020 2122222 2432596 3040745 3454780 4244444 4257043 5305555 6081490 7427777 8514086 10611110 12162980 14855554 17028172 21222220 21285215 29711108 37138885 42570430 74277770 85140860 148555540 349006811 698013622 1396027244 1745034055 2443047677 3490068110 4886095354 6980136220 9772190708 12215238385 15007292873 24430476770 30014585746 48860953540 60029171492 75036464365 105051050111 150072928730 210102100222 300145857460 420204200444 525255250555 1050510501110 2101021002220