Search a number
-
+
20310001344 = 263344926177
BaseRepresentation
bin10010111010100100…
…100000011011000000
31221102102211222011000
4102322210200123000
5313043330020334
613155201452000
71316205106623
oct227244403300
957372758130
1020310001344
118682514686
123b29941000
131bb8997a99
14da953ddba
157dd0a3299
hex4ba9206c0

20310001344 has 112 divisors (see below), whose sum is σ = 59842908000. Its totient is φ = 6754664448.

The previous prime is 20310001319. The next prime is 20310001357. The reversal of 20310001344 is 44310001302.

It is a super-3 number, since 3×203100013443 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 762784 + ... + 788960.

Almost surely, 220310001344 is an apocalyptic number.

20310001344 is a gapful number since it is divisible by the number (24) 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 20310001344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29921454000).

20310001344 is an abundant number, since it is smaller than the sum of its proper divisors (39532906656).

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

20310001344 is a wasteful number, since it uses less digits than its factorization.

20310001344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26647 (or 26631 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20310001344 its reverse (44310001302), we get a palindrome (64620002646).

The spelling of 20310001344 in words is "twenty billion, three hundred ten million, one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 449 576 864 898 1347 1728 1796 2694 3592 4041 5388 7184 8082 10776 12123 14368 16164 21552 24246 26177 28736 32328 43104 48492 52354 64656 78531 86208 96984 104708 129312 157062 193968 209416 235593 258624 314124 387936 418832 471186 628248 706779 775872 837664 942372 1256496 1413558 1675328 1884744 2512992 2827116 3769488 5025984 5654232 7538976 11308464 11753473 15077952 22616928 23506946 35260419 45233856 47013892 70520838 94027784 105781257 141041676 188055568 211562514 282083352 317343771 376111136 423125028 564166704 634687542 752222272 846250056 1128333408 1269375084 1692500112 2256666816 2538750168 3385000224 5077500336 6770000448 10155000672 20310001344