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1002122020 = 2251031094463
BaseRepresentation
bin111011101110110…
…010101100100100
32120211200001222101
4323232302230210
54023020401040
6243234541444
733555616354
oct7356625444
92524601871
101002122020
11474743119
1223b737884
1312c801013
1497140b64
155cea009a
hex3bbb2b24

1002122020 has 48 divisors (see below), whose sum is σ = 2144862720. Its totient is φ = 393227136.

The previous prime is 1002121963. The next prime is 1002122047. The reversal of 1002122020 is 202212001.

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 = 1002121988 and 1002122006.

It is an unprimeable number.

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, 222309 + ... + 226771.

It is an arithmetic number, because the mean of its divisors is an integer number (44684640).

Almost surely, 21002122020 is an apocalyptic number.

1002122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002122020 is an abundant number, since it is smaller than the sum of its proper divisors (1142740700).

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

1002122020 is a wasteful number, since it uses less digits than its factorization.

1002122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4684 (or 4682 counting only the distinct ones).

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

The square root of 1002122020 is about 31656.3109031991. The cubic root of 1002122020 is about 1000.7068402591.

Adding to 1002122020 its reverse (202212001), we get a palindrome (1204334021).

It can be divided in two parts, 10021 and 22020, that added together give a square (32041 = 1792).

The spelling of 1002122020 in words is "one billion, two million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 103 109 206 218 412 436 515 545 1030 1090 2060 2180 4463 8926 11227 17852 22315 22454 44630 44908 56135 89260 112270 224540 459689 486467 919378 972934 1838756 1945868 2298445 2432335 4596890 4864670 9193780 9729340 50106101 100212202 200424404 250530505 501061010 1002122020