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1000220100 = 2235211303097
BaseRepresentation
bin111011100111100…
…010010111000100
32120201002110000220
4323213202113010
54022024020400
6243130104340
733533505405
oct7347422704
92521073026
101000220100
11473664190
1223ab7b0b0
1312c2b6419
1496ba79ac
155cc267a0
hex3b9e25c4

1000220100 has 72 divisors (see below), whose sum is σ = 3157068768. Its totient is φ = 242476800.

The previous prime is 1000220093. The next prime is 1000220107. The reversal of 1000220100 is 10220001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1000220093) and next prime (1000220107).

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 not an unprimeable number, because it can be changed into a prime (1000220107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148249 + ... + 154848.

Almost surely, 21000220100 is an apocalyptic number.

1000220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000220100 is an abundant number, since it is smaller than the sum of its proper divisors (2156848668).

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

1000220100 is a wasteful number, since it uses less digits than its factorization.

1000220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303125 (or 303118 counting only the distinct ones).

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

The square root of 1000220100 is about 31626.2564967781. The cubic root of 1000220100 is about 1000.0733612847.

Adding to 1000220100 its reverse (10220001), we get a palindrome (1010440101).

Subtracting from 1000220100 its reverse (10220001), we obtain a palindrome (990000099).

The spelling of 1000220100 in words is "one billion, two hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 303097 606194 909291 1212388 1515485 1818582 3030970 3334067 3637164 4546455 6061940 6668134 7577425 9092910 10002201 13336268 15154850 16670335 18185820 20004402 22732275 30309700 33340670 40008804 45464550 50011005 66681340 83351675 90929100 100022010 166703350 200044020 250055025 333406700 500110050 1000220100