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1021004020 = 225173002953
BaseRepresentation
bin111100110110110…
…100100011110100
32122011012101012201
4330312310203310
54042334112040
6245151354244
734205251051
oct7466644364
92564171181
101021004020
1148436a483
12245b22984
131336b25ba
1499858028
155e97ea9a
hex3cdb48f4

1021004020 has 24 divisors (see below), whose sum is σ = 2270233224. Its totient is φ = 384377856.

The previous prime is 1021004009. The next prime is 1021004029. The reversal of 1021004020 is 204001201.

It can be written as a sum of positive squares in 4 ways, for example, as 138438756 + 882565264 = 11766^2 + 29708^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1021003988 and 1021004006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021004029) 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 7 ways as a sum of consecutive naturals, for example, 1501137 + ... + 1501816.

It is an arithmetic number, because the mean of its divisors is an integer number (94593051).

Almost surely, 21021004020 is an apocalyptic number.

1021004020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1021004020 is an abundant number, since it is smaller than the sum of its proper divisors (1249229204).

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

1021004020 is a wasteful number, since it uses less digits than its factorization.

1021004020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3002979 (or 3002977 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 1021004020 is about 31953.1535219922. The cubic root of 1021004020 is about 1006.9528853452.

Adding to 1021004020 its reverse (204001201), we get a palindrome (1225005221).

The spelling of 1021004020 in words is "one billion, twenty-one million, four thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 3002953 6005906 12011812 15014765 30029530 51050201 60059060 102100402 204200804 255251005 510502010 1021004020