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2122102222020 = 22325111489719791
BaseRepresentation
bin11110111000010111001…
…001100010110011000100
321111212111221201101221100
4132320113021202303010
5234232031132101040
64302514051220100
7306213446160444
oct36702711426304
97455457641840
102122102222020
11748a84421480
122a333b8a7630
13125162136aa1
14749d30a0124
153a3027d8b30
hex1ee17262cc4

2122102222020 has 144 divisors (see below), whose sum is σ = 7026955004160. Its totient is φ = 514102809600.

The previous prime is 2122102222013. The next prime is 2122102222057. The reversal of 2122102222020 is 202222012212.

2122102222020 is a `hidden beast` number, since 21 + 221 + 0 + 222 + 202 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2122102221984 and 2122102222002.

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, 2588325 + ... + 3308115.

It is an arithmetic number, because the mean of its divisors is an integer number (48798298640).

Almost surely, 22122102222020 is an apocalyptic number.

2122102222020 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 2122102222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3513477502080).

2122102222020 is an abundant number, since it is smaller than the sum of its proper divisors (4904852782140).

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

2122102222020 is a wasteful number, since it uses less digits than its factorization.

2122102222020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721306 (or 721301 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2122102222020 its reverse (202222012212), we get a palindrome (2324324234232).

The spelling of 2122102222020 in words is "two trillion, one hundred twenty-two billion, one hundred two million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1489 1980 2978 4467 5956 7445 8934 13401 14890 16379 17868 22335 26802 29780 32758 44670 49137 53604 65516 67005 81895 89340 98274 134010 147411 163790 196548 245685 268020 294822 327580 491370 589644 719791 737055 982740 1439582 1474110 2159373 2879164 2948220 3598955 4318746 6478119 7197910 7917701 8637492 10796865 12956238 14395820 15835402 21593730 23753103 25912476 31670804 32390595 39588505 43187460 47506206 64781190 71259309 79177010 95012412 118765515 129562380 142518618 158354020 237531030 285037236 356296545 475062060 712593090 1071768799 1425186180 2143537598 3215306397 4287075196 5358843995 6430612794 9645919191 10717687990 11789456789 12861225588 16076531985 19291838382 21435375980 23578913578 32153063970 35368370367 38583676764 47157827156 48229595955 58947283945 64306127940 70736740734 96459191910 106105111101 117894567890 141473481468 176841851835 192918383820 212210222202 235789135780 353683703670 424420444404 530525555505 707367407340 1061051111010 2122102222020