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1020021220200 = 2335253107299777
BaseRepresentation
bin11101101011111100000…
…00001010001101101000
310121111212000212210101010
432311332000022031220
5113203000413021300
62100331414423520
7133460035213263
oct16657600121550
93544760783333
101020021220200
11363652428a74
1214582b061ba0
13752591930b8
1437525493cda
151b7ee2c4a50
hexed7e00a368

1020021220200 has 192 divisors, whose sum is σ = 3251847850560. Its totient is φ = 264378449920.

The previous prime is 1020021220159. The next prime is 1020021220223. The reversal of 1020021220200 is 20221200201.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3252712 + ... + 3552488.

It is an arithmetic number, because the mean of its divisors is an integer number (16936707555).

Almost surely, 21020021220200 is an apocalyptic number.

1020021220200 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 1020021220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1625923925280).

1020021220200 is an abundant number, since it is smaller than the sum of its proper divisors (2231826630360).

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

1020021220200 is a wasteful number, since it uses less digits than its factorization.

1020021220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299956 (or 299947 counting only the distinct ones).

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

Adding to 1020021220200 its reverse (20221200201), we get a palindrome (1040242420401).

The spelling of 1020021220200 in words is "one trillion, twenty billion, twenty-one million, two hundred twenty thousand, two hundred".