Search a number
-
+
320034112112 = 241113311449759
BaseRepresentation
bin1001010100000111000…
…01010000001001110000
31010121001201122101000102
410222003201100021300
520220412213041422
6403004401411532
732056513032431
oct4520341201160
91117051571012
10320034112112
111137a8a05250
1252036939ba8
13242435bb110
14116bdb87488
1584d1417192
hex4a83850270

320034112112 has 80 divisors (see below), whose sum is σ = 730813224960. Its totient is φ = 133847980800.

The previous prime is 320034112081. The next prime is 320034112117. The reversal of 320034112112 is 211211430023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320034112117) by changing a digit.

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, 486689 + ... + 936447.

It is an arithmetic number, because the mean of its divisors is an integer number (9135165312).

Almost surely, 2320034112112 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 320034112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365406612480).

320034112112 is an abundant number, since it is smaller than the sum of its proper divisors (410779112848).

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

320034112112 is a wasteful number, since it uses less digits than its factorization.

320034112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450102 (or 450096 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 320034112112 its reverse (211211430023), we get a palindrome (531245542135).

The spelling of 320034112112 in words is "three hundred twenty billion, thirty-four million, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 176 208 286 311 572 622 1144 1244 2288 2488 3421 4043 4976 6842 8086 13684 16172 27368 32344 44473 54736 64688 88946 177892 355784 449759 711568 899518 1799036 3598072 4947349 5846867 7196144 9894698 11693734 19789396 23387468 39578792 46774936 64315537 79157584 93549872 128631074 139875049 257262148 279750098 514524296 559500196 1029048592 1119000392 1538625539 1818375637 2238000784 3077251078 3636751274 6154502156 7273502548 12309004312 14547005096 20002132007 24618008624 29094010192 40004264014 80008528028 160017056056 320034112112