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1001220100 = 225217588953
BaseRepresentation
bin111011101011010…
…110100000000100
32120202222020202221
4323223112200010
54022303020400
6243203342124
733545142016
oct7353264004
92522866687
101001220100
11474187531
1223b381944
1312c57663a
1496d881b6
155cd72c1a
hex3bad6804

1001220100 has 36 divisors (see below), whose sum is σ = 2300454324. Its totient is φ = 376929280.

The previous prime is 1001220097. The next prime is 1001220131. The reversal of 1001220100 is 10221001.

It can be written as a sum of positive squares in 6 ways, for example, as 36869184 + 964350916 = 6072^2 + 31054^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 292777 + ... + 296176.

It is an arithmetic number, because the mean of its divisors is an integer number (63901509).

Almost surely, 21001220100 is an apocalyptic number.

1001220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001220100 is an abundant number, since it is smaller than the sum of its proper divisors (1299234224).

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

1001220100 is a wasteful number, since it uses less digits than its factorization.

1001220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588984 (or 588977 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 1001220100 is about 31642.0621957546. The cubic root of 1001220100 is about 1000.4065347071.

Adding to 1001220100 its reverse (10221001), we get a palindrome (1011441101).

Subtracting from 1001220100 its reverse (10221001), we obtain a palindrome (990999099).

The spelling of 1001220100 in words is "one billion, one million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 588953 1177906 2355812 2944765 5889530 10012201 11779060 14723825 20024402 29447650 40048804 50061005 58895300 100122010 200244020 250305025 500610050 1001220100