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1011002020 = 225725728099
BaseRepresentation
bin111100010000101…
…010101010100100
32121110101020001021
4330100222222210
54032304031040
6244153140524
734024242520
oct7420525244
92543336037
101011002020
11479758866
122426ba744
131315bcb62
14983b2d80
155db5624a
hex3c42aaa4

1011002020 has 48 divisors (see below), whose sum is σ = 2435932800. Its totient is φ = 345268224.

The previous prime is 1011001987. The next prime is 1011002029. The reversal of 1011002020 is 202001101.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 1011001994 and 1011002012.

It is not an unprimeable number, because it can be changed into a prime (1011002029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21931 + ... + 50029.

It is an arithmetic number, because the mean of its divisors is an integer number (50748600).

Almost surely, 21011002020 is an apocalyptic number.

1011002020 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 1011002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217966400).

1011002020 is an abundant number, since it is smaller than the sum of its proper divisors (1424930780).

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

1011002020 is a wasteful number, since it uses less digits than its factorization.

1011002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28372 (or 28370 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 1011002020 is about 31796.2579559293. The cubic root of 1011002020 is about 1003.6539722250.

Adding to 1011002020 its reverse (202001101), we get a palindrome (1213003121).

The spelling of 1011002020 in words is "one billion, eleven million, two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 257 514 1028 1285 1799 2570 3598 5140 7196 8995 17990 28099 35980 56198 112396 140495 196693 280990 393386 561980 786772 983465 1966930 3933860 7221443 14442886 28885772 36107215 50550101 72214430 101100202 144428860 202200404 252750505 505501010 1011002020