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21222021202120 = 23517611877327253
BaseRepresentation
bin1001101001101001000110…
…00010010000000011001000
32210010210202010221120221201
410310310203002100003020
510240200144411431440
6113045132325313544
74320145316610244
oct464644302200310
983123663846851
1021222021202120
116842232791222
122468b77b658b4
13bac2c6c3504b
14535219285424
1526c077e8c19a
hex134d230900c8

21222021202120 has 128 divisors (see below), whose sum is σ = 51391792902240. Its totient is φ = 7857784995840.

The previous prime is 21222021202097. The next prime is 21222021202189. The reversal of 21222021202120 is 2120212022212.

It can be written as a sum of positive squares in 16 ways, for example, as 5859023573764 + 15362997628356 = 2420542^2 + 3919566^2 .

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, 778690414 + ... + 778717666.

Almost surely, 221222021202120 is an apocalyptic number.

21222021202120 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 21222021202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25695896451120).

21222021202120 is an abundant number, since it is smaller than the sum of its proper divisors (30169771700120).

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

21222021202120 is a wasteful number, since it uses less digits than its factorization.

21222021202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46115 (or 46111 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 21222021202120 its reverse (2120212022212), we get a palindrome (23342233224332).

The spelling of 21222021202120 in words is "twenty-one trillion, two hundred twenty-two billion, twenty-one million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 61 68 85 122 136 170 244 305 340 488 610 680 1037 1220 2074 2440 4148 5185 8296 10370 18773 20740 27253 37546 41480 54506 75092 93865 109012 136265 150184 187730 218024 272530 319141 375460 463301 545060 638282 750920 926602 1090120 1145153 1276564 1595705 1662433 1853204 2290306 2316505 2553128 3191410 3324866 3706408 4580612 4633010 5725765 6382820 6649732 8312165 9161224 9266020 11451530 12765640 13299464 16624330 18532040 19467601 22903060 28261361 33248660 38935202 45806120 56522722 66497320 77870404 97338005 113045444 141306805 155740808 194676010 226090888 282613610 389352020 511620569 565227220 778704040 1023241138 1130454440 2046482276 2558102845 4092964552 5116205690 8697549673 10232411380 17395099346 20464822760 31208854709 34790198692 43487748365 62417709418 69580397384 86975496730 124835418836 156044273545 173950993460 249670837672 312088547090 347901986920 530550530053 624177094180 1061101060106 1248354188360 2122202120212 2652752650265 4244404240424 5305505300530 10611010601060 21222021202120