Search a number
-
+
1321225982180 = 225132641609821
BaseRepresentation
bin10011001110011111001…
…101001001000011100100
311200022022111210001212022
4103032133031021003210
5133121332322412210
62450543550042312
7164312132356346
oct23163715110344
94608274701768
101321225982180
1146a368693825
1219408baa9398
139778b792800
1447d3a605296
152457c610155
hex1339f3490e4

1321225982180 has 72 divisors (see below), whose sum is σ = 3009112994664. Its totient is φ = 487075430400.

The previous prime is 1321225982113. The next prime is 1321225982227. The reversal of 1321225982180 is 812895221231.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 472870774336 + 848355207844 = 687656^2 + 921062^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1861670 + ... + 2471490.

It is an arithmetic number, because the mean of its divisors is an integer number (41793236037).

Almost surely, 21321225982180 is an apocalyptic number.

1321225982180 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 1321225982180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1504556497332).

1321225982180 is an abundant number, since it is smaller than the sum of its proper divisors (1687887012484).

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

1321225982180 is a wasteful number, since it uses less digits than its factorization.

1321225982180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610497 (or 610482 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 44.

The spelling of 1321225982180 in words is "one trillion, three hundred twenty-one billion, two hundred twenty-five million, nine hundred eighty-two thousand, one hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 641 676 845 1282 1690 2564 3205 3380 6410 8333 12820 16666 33332 41665 83330 108329 166660 216658 433316 541645 609821 1083290 1219642 2166580 2439284 3049105 6098210 7927673 12196420 15855346 31710692 39638365 79276730 103059749 158553460 206119498 390895261 412238996 515298745 781790522 1030597490 1563581044 1954476305 2061194980 3908952610 5081638393 7817905220 10163276786 20326553572 25408191965 50816383930 66061299109 101632767860 132122598218 264245196436 330306495545 660612991090 1321225982180