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1022002020 = 223251319127181
BaseRepresentation
bin111100111010101…
…000001101100100
32122020002002012200
4330322220031210
54043113031040
6245225014500
734216605504
oct7472501544
92566062180
101022002020
11484991276
12246324430
13133971930
1499a37a04
155eaca630
hex3cea8364

1022002020 has 288 divisors, whose sum is σ = 3561492480. Its totient is φ = 235146240.

The previous prime is 1022001989. The next prime is 1022002031. The reversal of 1022002020 is 202002201.

1022002020 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 (9).

It is a junction number, because it is equal to n+sod(n) for n = 1022001993 and 1022002011.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5646330 + ... + 5646510.

Almost surely, 21022002020 is an apocalyptic number.

1022002020 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 1022002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1780746240).

1022002020 is an abundant number, since it is smaller than the sum of its proper divisors (2539490460).

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

1022002020 is a wasteful number, since it uses less digits than its factorization.

1022002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 1022002020 is about 31968.7663196439. The cubic root of 1022002020 is about 1007.2808669872.

Adding to 1022002020 its reverse (202002201), we get a palindrome (1224004221).

The spelling of 1022002020 in words is "one billion, twenty-two million, two thousand, twenty".