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1000100220 = 223572381191
BaseRepresentation
bin111011100111000…
…101000101111100
32120200212100120220
4323213011011330
54022011201340
6243123341340
733532466040
oct7347050574
92520770526
101000100220
11473592109
1223ab21850
1312c2739a2
1496b76020
155cc00ed0
hex3b9c517c

1000100220 has 48 divisors (see below), whose sum is σ = 3200322048. Its totient is φ = 228594240.

The previous prime is 1000100201. The next prime is 1000100239. The reversal of 1000100220 is 220010001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1000100201) and next prime (1000100239).

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 = 1000100199 and 1000100208.

It is a congruent number.

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, 1190176 + ... + 1191015.

It is an arithmetic number, because the mean of its divisors is an integer number (66673376).

Almost surely, 21000100220 is an apocalyptic number.

1000100220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000100220 is an abundant number, since it is smaller than the sum of its proper divisors (2200221828).

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

1000100220 is a wasteful number, since it uses less digits than its factorization.

1000100220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2381210 (or 2381208 counting only the distinct ones).

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

The square root of 1000100220 is about 31624.3611793187. The cubic root of 1000100220 is about 1000.0334055507.

Adding to 1000100220 its reverse (220010001), we get a palindrome (1220110221).

The spelling of 1000100220 in words is "one billion, one hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 2381191 4762382 7143573 9524764 11905955 14287146 16668337 23811910 28574292 33336674 35717865 47623820 50005011 66673348 71435730 83341685 100010022 142871460 166683370 200020044 250025055 333366740 500050110 1000100220