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2121012122020 = 22511101132771933
BaseRepresentation
bin11110110111010110001…
…011001001000110100100
321111202200222111120212021
4132313112023021012210
5234222313100401040
64302213550432524
7306144441366361
oct36672613110644
97452628446767
102121012122020
11748575059190
122a3096802744
1312501a3412bc
147492c3bb468
153a28bc5b24a
hex1edd62c91a4

2121012122020 has 96 divisors (see below), whose sum is σ = 4910921519616. Its totient is φ = 763054656000.

The previous prime is 2121012121979. The next prime is 2121012122071. The reversal of 2121012122020 is 202212101212.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2121012121985 and 2121012122003.

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, 29449974 + ... + 29521906.

It is an arithmetic number, because the mean of its divisors is an integer number (51155432496).

Almost surely, 22121012122020 is an apocalyptic number.

2121012122020 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 2121012122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2455460759808).

2121012122020 is an abundant number, since it is smaller than the sum of its proper divisors (2789909397596).

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

2121012122020 is a wasteful number, since it uses less digits than its factorization.

2121012122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73381 (or 73379 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2121012122020 its reverse (202212101212), we get a palindrome (2323224223232).

The spelling of 2121012122020 in words is "two trillion, one hundred twenty-one billion, twelve million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 1010 1111 1327 2020 2222 2654 4444 5308 5555 6635 11110 13270 14597 22220 26540 29194 58388 71933 72985 134027 143866 145970 268054 287732 291940 359665 536108 670135 719330 791263 1340270 1438660 1474297 1582526 2680540 2948594 3165052 3956315 5897188 7265233 7371485 7912630 14530466 14742970 15825260 29060932 29485940 36326165 72652330 79917563 95455091 145304660 159835126 190910182 319670252 381820364 399587815 477275455 799175630 954550910 1050006001 1598351260 1909101820 2100012002 4200024004 5250030005 9640964191 10500060010 19281928382 21000120020 38563856764 48204820955 96409641910 106050606101 192819283820 212101212202 424202424404 530253030505 1060506061010 2121012122020