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1000122020 = 225415212341
BaseRepresentation
bin111011100111001…
…010011010100100
32120200220110111022
4323213022122210
54022012401040
6243124030312
733532616432
oct7347123244
92520813438
101000122020
114735a7527
1223ab32398
1312c2808a1
1496b7dd52
155cc076b5
hex3b9ca6a4

1000122020 has 48 divisors (see below), whose sum is σ = 2156532336. Its totient is φ = 389376000.

The previous prime is 1000122017. The next prime is 1000122037. The reversal of 1000122020 is 202210001.

It can be written as a sum of positive squares in 8 ways, for example, as 141514816 + 858607204 = 11896^2 + 29302^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1000121989 and 1000122007.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 426050 + ... + 428390.

It is an arithmetic number, because the mean of its divisors is an integer number (44927757).

Almost surely, 21000122020 is an apocalyptic number.

1000122020 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 1000122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078266168).

1000122020 is an abundant number, since it is smaller than the sum of its proper divisors (1156410316).

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

1000122020 is a wasteful number, since it uses less digits than its factorization.

1000122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2912 (or 2910 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 1000122020 is about 31624.7058484344. The cubic root of 1000122020 is about 1000.0406716791.

Adding to 1000122020 its reverse (202210001), we get a palindrome (1202332021).

The spelling of 1000122020 in words is "one billion, one hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 521 820 1042 2084 2341 2605 4682 5210 9364 10420 11705 21361 23410 42722 46820 85444 95981 106805 191962 213610 383924 427220 479905 959810 1219661 1919620 2439322 4878644 6098305 12196610 24393220 50006101 100012202 200024404 250030505 500061010 1000122020