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121022000020 = 2259377645313
BaseRepresentation
bin111000010110101111…
…0010010101110010100
3102120101020020120222001
41300231132102232110
53440323113000040
6131332521245044
711513016012205
oct1605536225624
9376336216861
10121022000020
1147363844939
121b556033784
13b548b580cc
145c00d7d5ac
153234a8059a
hex1c2d792b94

121022000020 has 24 divisors (see below), whose sum is σ = 254173697064. Its totient is φ = 48403562496.

The previous prime is 121021999963. The next prime is 121022000023. The reversal of 121022000020 is 20000220121.

It can be written as a sum of positive squares in 4 ways, for example, as 7509608964 + 113512391056 = 86658^2 + 336916^2 .

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 = 121021999970 and 121022000006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121022000023) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 135117 + ... + 510196.

It is an arithmetic number, because the mean of its divisors is an integer number (10590570711).

Almost surely, 2121022000020 is an apocalyptic number.

121022000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121022000020 is an abundant number, since it is smaller than the sum of its proper divisors (133151697044).

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

121022000020 is a wasteful number, since it uses less digits than its factorization.

121022000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654699 (or 654697 counting only the distinct ones).

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

Adding to 121022000020 its reverse (20000220121), we get a palindrome (141022220141).

The spelling of 121022000020 in words is "one hundred twenty-one billion, twenty-two million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 9377 18754 37508 46885 93770 187540 645313 1290626 2581252 3226565 6453130 12906260 6051100001 12102200002 24204400004 30255500005 60511000010 121022000020