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1321311100 = 225241322271
BaseRepresentation
bin100111011000001…
…1001101101111100
310102002021120002011
41032300121231330
510201223423400
6335040141004
744512646644
oct11660315574
93362246064
101321311100
1161893364a
1230a607764
1318098a0b5
14c76ab524
157aeee8ba
hex4ec19b7c

1321311100 has 36 divisors (see below), whose sum is σ = 2937187008. Its totient is φ = 515632000.

The previous prime is 1321311029. The next prime is 1321311119. The reversal of 1321311100 is 11131231.

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 11 ways as a sum of consecutive naturals, for example, 157036 + ... + 165235.

It is an arithmetic number, because the mean of its divisors is an integer number (81588528).

Almost surely, 21321311100 is an apocalyptic number.

1321311100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1321311100 is an abundant number, since it is smaller than the sum of its proper divisors (1615875908).

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

1321311100 is a wasteful number, since it uses less digits than its factorization.

1321311100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322326 (or 322319 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 1321311100 is about 36349.8431908585. The cubic root of 1321311100 is about 1097.3243786836.

Adding to 1321311100 its reverse (11131231), we get a palindrome (1332442331).

The spelling of 1321311100 in words is "one billion, three hundred twenty-one million, three hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 2050 4100 322271 644542 1289084 1611355 3222710 6445420 8056775 13213111 16113550 26426222 32227100 52852444 66065555 132131110 264262220 330327775 660655550 1321311100