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1321134220 = 2257193111597
BaseRepresentation
bin100111010111110…
…1110100010001100
310102001221120110001
41032233232202030
510201202243340
6335032254044
744511312160
oct11657564214
93361846401
101321134220
1161882276a
1230a541324
13180927733
14c7662ca0
157aeb729a
hex4ebee88c

1321134220 has 96 divisors (see below), whose sum is σ = 3350430720. Its totient is φ = 427472640.

The previous prime is 1321134197. The next prime is 1321134229. The reversal of 1321134220 is 224311231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (1321134229) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 826462 + ... + 828058.

It is an arithmetic number, because the mean of its divisors is an integer number (34900320).

Almost surely, 21321134220 is an apocalyptic number.

1321134220 is a gapful number since it is divisible by the number (10) 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 1321134220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1675215360).

1321134220 is an abundant number, since it is smaller than the sum of its proper divisors (2029296500).

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

1321134220 is a wasteful number, since it uses less digits than its factorization.

1321134220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1943 (or 1941 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 1321134220 is about 36347.4100865522. The cubic root of 1321134220 is about 1097.2754113113.

Adding to 1321134220 its reverse (224311231), we get a palindrome (1545445451).

The spelling of 1321134220 in words is "one billion, three hundred twenty-one million, one hundred thirty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 311 380 532 622 665 1244 1330 1555 1597 2177 2660 3110 3194 4354 5909 6220 6388 7985 8708 10885 11179 11818 15970 21770 22358 23636 29545 30343 31940 41363 43540 44716 55895 59090 60686 82726 111790 118180 121372 151715 165452 206815 212401 223580 303430 413630 424802 496667 606860 827260 849604 993334 1062005 1986668 2124010 2483335 3476669 4248020 4966670 6953338 9436673 9933340 13906676 17383345 18873346 34766690 37746692 47183365 66056711 69533380 94366730 132113422 188733460 264226844 330283555 660567110 1321134220