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1002010020 = 2235111679091
BaseRepresentation
bin111011101110010…
…111010110100100
32120211110101100020
4323232113112210
54023003310040
6243232315140
733554642004
oct7356272644
92524411306
101002010020
11474676a60
1223b6a2ab0
1312c79204b
1497112004
155ce7bcd0
hex3bb975a4

1002010020 has 96 divisors (see below), whose sum is σ = 3079351296. Its totient is φ = 241430400.

The previous prime is 1002010013. The next prime is 1002010021. The reversal of 1002010020 is 200102001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 1002009990 and 1002010008.

It is not an unprimeable number, because it can be changed into a prime (1002010021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105675 + ... + 114765.

It is an arithmetic number, because the mean of its divisors is an integer number (32076576).

Almost surely, 21002010020 is an apocalyptic number.

1002010020 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 1002010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1539675648).

1002010020 is an abundant number, since it is smaller than the sum of its proper divisors (2077341276).

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

1002010020 is a wasteful number, since it uses less digits than its factorization.

1002010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9281 (or 9279 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 1002010020 is about 31654.5418542111. The cubic root of 1002010020 is about 1000.6695582583.

Adding to 1002010020 its reverse (200102001), we get a palindrome (1202112021).

The spelling of 1002010020 in words is "one billion, two million, ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 167 220 330 334 501 660 668 835 1002 1670 1837 2004 2505 3340 3674 5010 5511 7348 9091 9185 10020 11022 18182 18370 22044 27273 27555 36364 36740 45455 54546 55110 90910 100001 109092 110220 136365 181820 200002 272730 300003 400004 500005 545460 600006 1000010 1200012 1500015 1518197 2000020 3000030 3036394 4554591 6000060 6072788 7590985 9109182 15181970 16700167 18218364 22772955 30363940 33400334 45545910 50100501 66800668 83500835 91091820 100201002 167001670 200402004 250502505 334003340 501005010 1002010020