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1221001100 = 2252111517351
BaseRepresentation
bin100100011000110…
…1111111110001100
310011002112021121222
41020301233332030
510000034013400
6321054142512
742154223654
oct11061577614
93132467558
101221001100
11577250220
122a0ab1a38
13165c68477
14b8239364
15722d8185
hex48c6ff8c

1221001100 has 72 divisors (see below), whose sum is σ = 2909980416. Its totient is φ = 441000000.

The previous prime is 1221001097. The next prime is 1221001127. The reversal of 1221001100 is 11001221.

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, 162425 + ... + 169775.

Almost surely, 21221001100 is an apocalyptic number.

1221001100 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 1221001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454990208).

1221001100 is an abundant number, since it is smaller than the sum of its proper divisors (1688979316).

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

1221001100 is a wasteful number, since it uses less digits than its factorization.

1221001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7527 (or 7520 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 1221001100 is about 34942.8261593134. The cubic root of 1221001100 is about 1068.8219193990.

Adding to 1221001100 its reverse (11001221), we get a palindrome (1232002321).

The spelling of 1221001100 in words is "one billion, two hundred twenty-one million, one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 151 220 275 302 550 604 755 1100 1510 1661 3020 3322 3775 6644 7351 7550 8305 14702 15100 16610 29404 33220 36755 41525 73510 80861 83050 147020 161722 166100 183775 323444 367550 404305 735100 808610 1110001 1617220 2021525 2220002 4043050 4440004 5550005 8086100 11100010 12210011 22200020 24420022 27750025 48840044 55500050 61050055 111000100 122100110 244200220 305250275 610500550 1221001100