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1020122020020 = 2235291019536091
BaseRepresentation
bin11101101100001000000…
…00101011100010110100
310121112010001112221201210
432312010000223202310
5113203202214120040
62100345415121420
7133462401046305
oct16660400534264
93545101487653
101020122020020
113636a4316404
12145858973270
137527402696c
1437534a127ac
151b808086480
hexed8402b8b4

1020122020020 has 192 divisors, whose sum is σ = 2987713693440. Its totient is φ = 259736064000.

The previous prime is 1020122020019. The next prime is 1020122020037. The reversal of 1020122020020 is 200202210201.

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 = 1020122019978 and 1020122020005.

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 63 ways as a sum of consecutive naturals, for example, 167477175 + ... + 167483265.

It is an arithmetic number, because the mean of its divisors is an integer number (15561008820).

Almost surely, 21020122020020 is an apocalyptic number.

1020122020020 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 1020122020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1493856846720).

1020122020020 is an abundant number, since it is smaller than the sum of its proper divisors (1967591673420).

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

1020122020020 is a wasteful number, since it uses less digits than its factorization.

1020122020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7186 (or 7184 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1020122020020 its reverse (200202210201), we get a palindrome (1220324230221).

The spelling of 1020122020020 in words is "one trillion, twenty billion, one hundred twenty-two million, twenty thousand, twenty".