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1323132100 = 225217778313
BaseRepresentation
bin100111011011101…
…0110010011000100
310102012201002000121
41032313112103010
510202210211400
6335143151324
744534302663
oct11667262304
93365632017
101323132100
11619967804
1230b145544
13181176c04
14c7a22dda
157b25e21a
hex4edd64c4

1323132100 has 36 divisors (see below), whose sum is σ = 3040094484. Its totient is φ = 498119680.

The previous prime is 1323132091. The next prime is 1323132131. The reversal of 1323132100 is 12313231.

It can be written as a sum of positive squares in 6 ways, for example, as 15007876 + 1308124224 = 3874^2 + 36168^2 .

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, 387457 + ... + 390856.

It is an arithmetic number, because the mean of its divisors is an integer number (84447069).

Almost surely, 21323132100 is an apocalyptic number.

1323132100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1323132100 is an abundant number, since it is smaller than the sum of its proper divisors (1716962384).

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

1323132100 is a wasteful number, since it uses less digits than its factorization.

1323132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778344 (or 778337 counting only the distinct ones).

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

The square root of 1323132100 is about 36374.8828176807. The cubic root of 1323132100 is about 1097.8282495297.

Adding to 1323132100 its reverse (12313231), we get a palindrome (1335445331).

The spelling of 1323132100 in words is "one billion, three hundred twenty-three million, one hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 778313 1556626 3113252 3891565 7783130 13231321 15566260 19457825 26462642 38915650 52925284 66156605 77831300 132313210 264626420 330783025 661566050 1323132100