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1020021341300 = 22521329413831723
BaseRepresentation
bin11101101011111100000…
…00100111110001110100
310121111212001002221111022
432311332000213301310
5113203000430410200
62100331421200312
7133460036226323
oct16657600476164
93544761087438
101020021341300
11363652500a55
1214582b100098
1375259206260
14375254c60ba
151b7ee2ea885
hexed7e027c74

1020021341300 has 288 divisors, whose sum is σ = 2534117806080. Its totient is φ = 353635430400.

The previous prime is 1020021341299. The next prime is 1020021341303. The reversal of 1020021341300 is 31431200201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020021341303) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 592002239 + ... + 592003961.

It is an arithmetic number, because the mean of its divisors is an integer number (8799020160).

Almost surely, 21020021341300 is an apocalyptic number.

1020021341300 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 1020021341300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1267058903040).

1020021341300 is an abundant number, since it is smaller than the sum of its proper divisors (1514096464780).

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

1020021341300 is a wasteful number, since it uses less digits than its factorization.

1020021341300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2203 (or 2196 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 1020021341300 its reverse (31431200201), we get a palindrome (1051452541501).

The spelling of 1020021341300 in words is "one trillion, twenty billion, twenty-one million, three hundred forty-one thousand, three hundred".