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1021014032220 = 22325713591995309
BaseRepresentation
bin11101101101110010010…
…11011011111101011100
310121121102020000212102200
432312321023123331130
5113212014043012340
62101014122051500
7133523452036050
oct16667113337534
93547366025380
101021014032220
11364011892376
12145a67649b90
1375386a84630
14375bb28dc60
151b85b536330
hexedb92dbf5c

1021014032220 has 576 divisors, whose sum is σ = 3896605440000. Its totient is φ = 210667640832.

The previous prime is 1021014032183. The next prime is 1021014032251. The reversal of 1021014032220 is 222304101201.

It is a happy number.

1021014032220 is a `hidden beast` number, since 10 + 210 + 1 + 403 + 22 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1021014032193 and 1021014032202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 192314926 + ... + 192320234.

It is an arithmetic number, because the mean of its divisors is an integer number (6764940000).

Almost surely, 21021014032220 is an apocalyptic number.

1021014032220 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 1021014032220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1948302720000).

1021014032220 is an abundant number, since it is smaller than the sum of its proper divisors (2875591407780).

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

1021014032220 is a wasteful number, since it uses less digits than its factorization.

1021014032220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5602 (or 5597 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1021014032220 its reverse (222304101201), we get a palindrome (1243318133421).

The spelling of 1021014032220 in words is "one trillion, twenty-one billion, fourteen million, thirty-two thousand, two hundred twenty".