Search a number
-
+
1301001233424 = 243107981125819
BaseRepresentation
bin10010111011101001101…
…101110110010000010000
311121101010000100101021120
4102323221231312100100
5132303422303432144
62433401031322240
7162665011010304
oct22735155662020
94541100311246
101301001233424
1146182a308732
12190186820380
13958b7676b59
1446d7c537d04
1523c96c9be19
hex12ee9b76410

1301001233424 has 80 divisors (see below), whose sum is σ = 3392807489280. Its totient is φ = 429553687680.

The previous prime is 1301001233407. The next prime is 1301001233449. The reversal of 1301001233424 is 4243321001031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1301001233394 and 1301001233403.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50376387 + ... + 50402205.

It is an arithmetic number, because the mean of its divisors is an integer number (42410093616).

Almost surely, 21301001233424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1301001233424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1696403744640).

1301001233424 is an abundant number, since it is smaller than the sum of its proper divisors (2091806255856).

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

1301001233424 is a wasteful number, since it uses less digits than its factorization.

1301001233424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35748 (or 35742 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1301001233424 its reverse (4243321001031), we get a palindrome (5544322234455).

The spelling of 1301001233424 in words is "one trillion, three hundred one billion, one million, two hundred thirty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 107 214 321 428 642 856 1284 1712 2568 5136 9811 19622 25819 29433 39244 51638 58866 77457 78488 103276 117732 154914 156976 206552 235464 309828 413104 470928 619656 1049777 1239312 2099554 2762633 3149331 4199108 5525266 6298662 8287899 8398216 11050532 12597324 16575798 16796432 22101064 25194648 33151596 44202128 50389296 66303192 132606384 253310209 506620418 759930627 1013240836 1519861254 2026481672 3039722508 4052963344 6079445016 12158890032 27104192363 54208384726 81312577089 108416769452 162625154178 216833538904 325250308356 433667077808 650500616712 1301001233424