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10000121021220 = 223511101233643849
BaseRepresentation
bin1001000110000101010110…
…1010010100001100100100
31022102000001121221202201210
42101201111222110030210
52302320221440134340
633133554150551420
72051325215120661
oct221412552241444
938360047852653
1010000121021220
113206033683060
121156110368570
1357701324c205
14268019232a68
151251d589b180
hex91855a94324

10000121021220 has 192 divisors, whose sum is σ = 30980702188800. Its totient is φ = 2389963776000.

The previous prime is 10000121021197. The next prime is 10000121021227. The reversal of 10000121021220 is 2212012100001.

It is a super-2 number, since 2×100001210212202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10000121021196 and 10000121021205.

It is not an unprimeable number, because it can be changed into a prime (10000121021227) 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 63 ways as a sum of consecutive naturals, for example, 15209856 + ... + 15853704.

It is an arithmetic number, because the mean of its divisors is an integer number (161357823900).

Almost surely, 210000121021220 is an apocalyptic number.

10000121021220 is a gapful number since it is divisible by the number (10) 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 10000121021220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15490351094400).

10000121021220 is an abundant number, since it is smaller than the sum of its proper divisors (20980581167580).

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

10000121021220 is a wasteful number, since it uses less digits than its factorization.

10000121021220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644206 (or 644204 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10000121021220 its reverse (2212012100001), we get a palindrome (12212133121221).

The spelling of 10000121021220 in words is "ten trillion, one hundred twenty-one million, twenty-one thousand, two hundred twenty".