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1321613316 = 2232732832
BaseRepresentation
bin100111011000110…
…0011100000000100
310102002211220122100
41032301203200010
510201313111231
6335050432100
744515346022
oct11661434004
93362756570
101321613316
1161901a711
1230a732630
13180a6481a
14c7749712
157b05e1e6
hex4ec63804

1321613316 has 81 divisors (see below), whose sum is σ = 3428435829. Its totient is φ = 429268032.

The previous prime is 1321613287. The next prime is 1321613333. The reversal of 1321613316 is 6133161231.

The square root of 1321613316 is 36354.

It is a perfect power (a square), and thus also a powerful number.

1321613316 is a `hidden beast` number, since 1 + 32 + 1 + 613 + 3 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 750212100 + 571401216 = 27390^2 + 23904^2 .

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1321613316.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15923011 + ... + 15923093.

Almost surely, 21321613316 is an apocalyptic number.

1321613316 is the 36354-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1321613316

1321613316 is an abundant number, since it is smaller than the sum of its proper divisors (2106822513).

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

1321613316 is an equidigital number, since it uses as much as digits as its factorization.

1321613316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 161 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The cubic root of 1321613316 is about 1097.4080339015.

Adding to 1321613316 its reverse (6133161231), we get a palindrome (7454774547).

The spelling of 1321613316 in words is "one billion, three hundred twenty-one million, six hundred thirteen thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 73 83 146 166 219 249 292 332 438 498 657 747 876 996 1314 1494 2628 2988 5329 6059 6889 10658 12118 13778 15987 18177 20667 21316 24236 27556 31974 36354 41334 47961 54531 62001 63948 72708 82668 95922 109062 124002 191844 218124 248004 442307 502897 884614 1005794 1326921 1508691 1769228 2011588 2653842 3017382 3980763 4526073 5307684 6034764 7961526 9052146 15923052 18104292 36711481 73422962 110134443 146845924 220268886 330403329 440537772 660806658 1321613316