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1002202020 = 2232517327517
BaseRepresentation
bin111011101111000…
…110001110100100
32120211211010201100
4323233012032210
54023030431040
6243240400100
733556401531
oct7357061644
92524733640
101002202020
11474798236
1223b776030
1312c82b561
1497161d88
155ceb8b30
hex3bbc63a4

1002202020 has 72 divisors (see below), whose sum is σ = 3218846904. Its totient is φ = 251532288.

The previous prime is 1002201997. The next prime is 1002202031. The reversal of 1002202020 is 202022001.

It can be written as a sum of positive squares in 4 ways, for example, as 100761444 + 901440576 = 10038^2 + 30024^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1002201993 and 1002202011.

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 23 ways as a sum of consecutive naturals, for example, 160699 + ... + 166818.

It is an arithmetic number, because the mean of its divisors is an integer number (44706207).

Almost surely, 21002202020 is an apocalyptic number.

1002202020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002202020 is an abundant number, since it is smaller than the sum of its proper divisors (2216644884).

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

1002202020 is a wasteful number, since it uses less digits than its factorization.

1002202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327549 (or 327544 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 1002202020 is about 31657.5744490951. The cubic root of 1002202020 is about 1000.7334685590.

Adding to 1002202020 its reverse (202022001), we get a palindrome (1204224021).

The spelling of 1002202020 in words is "one billion, two million, two hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 327517 655034 982551 1310068 1637585 1965102 2947653 3275170 3930204 4912755 5567789 5895306 6550340 9825510 11135578 11790612 14738265 16703367 19651020 22271156 27838945 29476530 33406734 50110101 55677890 58953060 66813468 83516835 100220202 111355780 167033670 200440404 250550505 334067340 501101010 1002202020