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1321430016 = 2103443971
BaseRepresentation
bin100111011000011…
…0110110000000000
310102002111121012110
41032300312300000
510201241230031
6335042455320
744513653434
oct11660666000
93362447173
101321430016
11618a04a25
1230a664540
131809cc26a
14c76dc9c4
157b024c46
hex4ec36c00

1321430016 has 88 divisors (see below), whose sum is σ = 3533678784. Its totient is φ = 439029760.

The previous prime is 1321430003. The next prime is 1321430027. The reversal of 1321430016 is 6100341231.

It is a junction number, because it is equal to n+sod(n) for n = 1321429974 and 1321430001.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1360411 + ... + 1361381.

Almost surely, 21321430016 is an apocalyptic number.

1321430016 is a gapful number since it is divisible by the number (16) 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 1321430016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1766839392).

1321430016 is an abundant number, since it is smaller than the sum of its proper divisors (2212248768).

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

1321430016 is an equidigital number, since it uses as much as digits as its factorization.

1321430016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1437 (or 1419 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 1321430016 is about 36351.4788695041. The cubic root of 1321430016 is about 1097.3572968741.

Adding to 1321430016 its reverse (6100341231), we get a palindrome (7421771247).

The spelling of 1321430016 in words is "one billion, three hundred twenty-one million, four hundred thirty thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 443 512 768 886 971 1024 1329 1536 1772 1942 2658 2913 3072 3544 3884 5316 5826 7088 7768 10632 11652 14176 15536 21264 23304 28352 31072 42528 46608 56704 62144 85056 93216 113408 124288 170112 186432 226816 248576 340224 372864 430153 453632 497152 680448 745728 860306 994304 1290459 1360896 1491456 1720612 2580918 2982912 3441224 5161836 6882448 10323672 13764896 20647344 27529792 41294688 55059584 82589376 110119168 165178752 220238336 330357504 440476672 660715008 1321430016