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1021000020 = 223523717177
BaseRepresentation
bin111100110110110…
…011100101010100
32122011012011201120
4330312303211110
54042334000040
6245151323540
734205233305
oct7466634524
92564164646
101021000020
11484367477
12245b205b0
131336b0831
14998567ac
155e97d7d0
hex3cdb3954

1021000020 has 48 divisors (see below), whose sum is σ = 2860404288. Its totient is φ = 272113920.

The previous prime is 1021000009. The next prime is 1021000027. The reversal of 1021000020 is 200001201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 1020999972 and 1021000008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021000027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138672 + ... + 145848.

It is an arithmetic number, because the mean of its divisors is an integer number (59591756).

Almost surely, 21021000020 is an apocalyptic number.

1021000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1021000020 is an abundant number, since it is smaller than the sum of its proper divisors (1839404268).

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

1021000020 is a wasteful number, since it uses less digits than its factorization.

1021000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9560 (or 9558 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 1021000020 is about 31953.0909302997. The cubic root of 1021000020 is about 1006.9515703595.

Adding to 1021000020 its reverse (200001201), we get a palindrome (1221001221).

The spelling of 1021000020 in words is "one billion, twenty-one million, twenty", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 2371 4742 7113 7177 9484 11855 14226 14354 21531 23710 28452 28708 35565 35885 43062 47420 71130 71770 86124 107655 142260 143540 215310 430620 17016667 34033334 51050001 68066668 85083335 102100002 170166670 204200004 255250005 340333340 510500010 1021000020