Search a number
-
+
20210000120020 = 22537233129790373
BaseRepresentation
bin1001001100001100000011…
…11000001100100011010100
32122120001112122201220220201
410212012001320030203110
510122110040012320040
6110552202413310244
74154060433420514
oct446060170144324
978501478656821
1020210000120020
116492016215437
122324a00195384
13b37a44332b99
144dc2524d3844
15250a961dda9a
hex126181e0c8d4

20210000120020 has 96 divisors (see below), whose sum is σ = 43809363325728. Its totient is φ = 7825631035392.

The previous prime is 20210000120003. The next prime is 20210000120047. The reversal of 20210000120020 is 2002100001202.

It can be written as a sum of positive squares in 16 ways, for example, as 3020650952004 + 17189349168016 = 1738002^2 + 4146004^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 20210000119979 and 20210000120006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 223583554 + ... + 223673926.

It is an arithmetic number, because the mean of its divisors is an integer number (456347534643).

Almost surely, 220210000120020 is an apocalyptic number.

20210000120020 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 20210000120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21904681662864).

20210000120020 is an abundant number, since it is smaller than the sum of its proper divisors (23599363205708).

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

20210000120020 is a wasteful number, since it uses less digits than its factorization.

20210000120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91949 (or 91947 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 20210000120020 its reverse (2002100001202), we get a palindrome (22212100121222).

The spelling of 20210000120020 in words is "twenty trillion, two hundred ten billion, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 233 370 466 740 932 1165 1297 2330 2594 4660 5188 6485 8621 12970 17242 25940 34484 43105 47989 86210 90373 95978 172420 180746 191956 239945 302201 361492 451865 479890 604402 903730 959780 1208804 1511005 1807460 3022010 3343801 6044020 6687602 11181437 13375204 16719005 21056909 22362874 33438010 42113818 44725748 55907185 66876020 84227636 105284545 111814370 117213781 210569090 223628740 234427562 421138180 468855124 586068905 779105633 1172137810 1558211266 2344275620 3116422532 3895528165 4336909897 7791056330 8673819794 15582112660 17347639588 21684549485 27310810973 43369098970 54621621946 86738197940 109243243892 136554054865 273108109730 546216219460 1010500006001 2021000012002 4042000024004 5052500030005 10105000060010 20210000120020