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20121322101020 = 22571811450354751
BaseRepresentation
bin1001001001100110111000…
…10000011001100100011100
32122020120122112101210210122
410210303130100121210130
510114131431424213040
6110443335135454112
74144501055614130
oct444633420314434
978216575353718
1020121322101020
11645844a845228
12230b792087338
13b2c5813738aa
144d7c3cdd93c0
1524d605e451b5
hex124cdc41991c

20121322101020 has 96 divisors (see below), whose sum is σ = 48562210185216. Its totient is φ = 6860026080000.

The previous prime is 20121322100989. The next prime is 20121322101037. The reversal of 20121322101020 is 2010122312102.

It is a self number, because there is not a number n which added to its sum of digits gives 20121322101020.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 367478645 + ... + 367533395.

It is an arithmetic number, because the mean of its divisors is an integer number (505856356096).

Almost surely, 220121322101020 is an apocalyptic number.

20121322101020 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 20121322101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24281105092608).

20121322101020 is an abundant number, since it is smaller than the sum of its proper divisors (28440888084196).

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

20121322101020 is a wasteful number, since it uses less digits than its factorization.

20121322101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69451 (or 69449 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 20121322101020 its reverse (2010122312102), we get a palindrome (22131444413122).

The spelling of 20121322101020 in words is "twenty trillion, one hundred twenty-one billion, three hundred twenty-two million, one hundred one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 181 362 724 905 1267 1810 2534 3620 5068 6335 12670 14503 25340 29006 54751 58012 72515 101521 109502 145030 203042 219004 273755 290060 383257 406084 507605 547510 766514 1015210 1095020 1533028 1916285 2030420 2625043 3832570 5250086 7665140 9909931 10500172 13125215 18375301 19819862 26250430 36750602 39639724 49549655 52500860 69369517 73501204 91876505 99099310 138739034 183753010 198198620 277478068 346847585 367506020 693695170 794053753 1387390340 1588107506 3176215012 3970268765 5558376271 7940537530 11116752542 15881075060 22233505084 27791881355 55583762710 111167525420 143723729293 287447458586 574894917172 718618646465 1006066105051 1437237292930 2012132210102 2874474585860 4024264420204 5030330525255 10060661050510 20121322101020