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1324443313130 = 257210157746381
BaseRepresentation
bin10011010001011110111…
…110010010001111101010
311200121121201202102012212
4103101132332102033222
5133144424442010010
62452235120405122
7164454640261100
oct23213676221752
94617551672185
101324443313130
114707697a4123
121948294767a2
1397b821bb932
1448163a21c70
15246b9cd3505
hex1345ef923ea

1324443313130 has 96 divisors (see below), whose sum is σ = 2805594118992. Its totient is φ = 448809984000.

The previous prime is 1324443313099. The next prime is 1324443313147. The reversal of 1324443313130 is 313133444231.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1301833078441 + 22610234689 = 1140979^2 + 150367^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28532540 + ... + 28578920.

Almost surely, 21324443313130 is an apocalyptic number.

1324443313130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1324443313130 is an abundant number, since it is smaller than the sum of its proper divisors (1481150805862).

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

1324443313130 is a wasteful number, since it uses less digits than its factorization.

1324443313130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47080 (or 47073 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 1324443313130 its reverse (313133444231), we get a palindrome (1637576757361).

The spelling of 1324443313130 in words is "one trillion, three hundred twenty-four billion, four hundred forty-three million, three hundred thirteen thousand, one hundred thirty".

Divisors: 1 2 5 7 10 14 35 49 70 98 101 202 245 490 505 577 707 1010 1154 1414 2885 3535 4039 4949 5770 7070 8078 9898 20195 24745 28273 40390 46381 49490 56546 58277 92762 116554 141365 231905 282730 291385 324667 407939 463810 582770 649334 815878 1623335 2039695 2272669 2855573 3246670 4079390 4545338 4684481 5711146 9368962 11363345 14277865 22726690 23422405 26761837 28555730 32791367 46844810 53523674 65582734 133809185 163956835 187332859 229539569 267618370 327913670 374665718 459079138 936664295 1147697845 1311330013 1873328590 2295395690 2622660026 2702945537 5405891074 6556650065 13113300130 13514727685 18920618759 27029455370 37841237518 94603093795 132444331313 189206187590 264888662626 662221656565 1324443313130