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1321332100 = 2252112109201
BaseRepresentation
bin100111011000001…
…1110110110000100
310102002022121212221
41032300132312010
510201230111400
6335040422124
744513065114
oct11660366604
93362277787
101321332100
11618948400
1230a617944
1318099681a
14c76b5044
157b005c1a
hex4ec1ed84

1321332100 has 54 divisors (see below), whose sum is σ = 3151678922. Its totient is φ = 480480000.

The previous prime is 1321332091. The next prime is 1321332119. The reversal of 1321332100 is 12331231.

It can be written as a sum of positive squares in 3 ways, for example, as 245360896 + 1075971204 = 15664^2 + 32802^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 42501 + ... + 66700.

Almost surely, 21321332100 is an apocalyptic number.

1321332100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1321332100 is an abundant number, since it is smaller than the sum of its proper divisors (1830346822).

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

1321332100 is a wasteful number, since it uses less digits than its factorization.

1321332100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109237 (or 109219 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 1321332100 is about 36350.1320492787. The cubic root of 1321332100 is about 1097.3301920231.

Adding to 1321332100 its reverse (12331231), we get a palindrome (1333663331).

The spelling of 1321332100 in words is "one billion, three hundred twenty-one million, three hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 2420 3025 6050 12100 109201 218402 436804 546005 1092010 1201211 2184020 2402422 2730025 4804844 5460050 6006055 10920100 12012110 13213321 24024220 26426642 30030275 52853284 60060550 66066605 120121100 132133210 264266420 330333025 660666050 1321332100