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121002200020 = 22513663770121
BaseRepresentation
bin111000010110001001…
…0110000101111010100
3102120022211222122110201
41300230102300233110
53440303030400040
6131330533030244
711512355505232
oct1605422605724
9376284878421
10121002200020
11473536508a9
121b54b485384
13b544a14a30
145bdc4a7952
153232e6da9a
hex1c2c4b0bd4

121002200020 has 48 divisors (see below), whose sum is σ = 273696263568. Its totient is φ = 44670366720.

The previous prime is 121002199999. The next prime is 121002200021. The reversal of 121002200020 is 20002200121.

It can be written as a sum of positive squares in 8 ways, for example, as 68805486864 + 52196713156 = 262308^2 + 228466^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121002200021) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1690560 + ... + 1760680.

It is an arithmetic number, because the mean of its divisors is an integer number (5702005491).

Almost surely, 2121002200020 is an apocalyptic number.

121002200020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121002200020 is an abundant number, since it is smaller than the sum of its proper divisors (152694063548).

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

121002200020 is a wasteful number, since it uses less digits than its factorization.

121002200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76780 (or 76778 counting only the distinct ones).

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

Adding to 121002200020 its reverse (20002200121), we get a palindrome (141004400141).

The spelling of 121002200020 in words is "one hundred twenty-one billion, two million, two hundred thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 6637 13274 26548 33185 66370 70121 86281 132740 140242 172562 280484 345124 350605 431405 701210 862810 911573 1402420 1725620 1823146 3646292 4557865 9115730 18231460 465393077 930786154 1861572308 2326965385 4653930770 6050110001 9307861540 12100220002 24200440004 30250550005 60501100010 121002200020