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1021031110020 = 22353111316329803
BaseRepresentation
bin11101101101110100011…
…00100101010110000100
310121121110102011111202210
432312322030211112010
5113212032431010040
62101015532103420
7133524050144415
oct16667214452604
93547412144683
101021031110020
11364020497159
12145a71304b70
137538a48393c
14375bd65780c
151b85ccab480
hexedba325584

1021031110020 has 192 divisors, whose sum is σ = 2995590979584. Its totient is φ = 259549194240.

The previous prime is 1021031109983. The next prime is 1021031110067. The reversal of 1021031110020 is 200111301201.

1021031110020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 1021031109978 and 1021031110005.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34244439 + ... + 34274241.

It is an arithmetic number, because the mean of its divisors is an integer number (15602036352).

Almost surely, 21021031110020 is an apocalyptic number.

1021031110020 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 1021031110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497795489792).

1021031110020 is an abundant number, since it is smaller than the sum of its proper divisors (1974559869564).

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

1021031110020 is a wasteful number, since it uses less digits than its factorization.

1021031110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30122 (or 30120 counting only the distinct ones).

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

Adding to 1021031110020 its reverse (200111301201), we get a palindrome (1221142411221).

The spelling of 1021031110020 in words is "one trillion, twenty-one billion, thirty-one million, one hundred ten thousand, twenty".