Search a number
-
+
320342031310 = 25753611917411
BaseRepresentation
bin1001010100101011101…
…11110111101111001110
31010121212012001021202011
410222111313313233032
520222030030000220
6403055121251434
732100242224150
oct4522567675716
91117765037664
10320342031310
111139467a8524
1252101a93b7a
132429232c622
141170ca1cad0
1584ed48c65a
hex4a95df7bce

320342031310 has 128 divisors (see below), whose sum is σ = 686095515648. Its totient is φ = 105423552000.

The previous prime is 320342031293. The next prime is 320342031313. The reversal of 320342031310 is 13130243023.

It is a super-3 number, since 3×3203420313103 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320342031313) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43221505 + ... + 43228915.

It is an arithmetic number, because the mean of its divisors is an integer number (5360121216).

Almost surely, 2320342031310 is an apocalyptic number.

320342031310 is an abundant number, since it is smaller than the sum of its proper divisors (365753484338).

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

320342031310 is a wasteful number, since it uses less digits than its factorization.

320342031310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7730.

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 320342031310 its reverse (13130243023), we get a palindrome (333472274333).

The spelling of 320342031310 in words is "three hundred twenty billion, three hundred forty-two million, thirty-one thousand, three hundred ten".

Divisors: 1 2 5 7 10 14 35 53 61 70 106 122 191 265 305 371 382 427 530 610 742 854 955 1337 1855 1910 2135 2674 3233 3710 4270 6466 6685 7411 10123 11651 13370 14822 16165 20246 22631 23302 32330 37055 45262 50615 51877 58255 70861 74110 81557 101230 103754 113155 116510 141722 163114 226310 259385 354305 392783 407785 452071 518770 617503 708610 785566 815570 904142 1235006 1415501 1963915 2260355 2749481 2831002 3087515 3164497 3927830 4322521 4520710 5498962 6175030 6328994 7077505 8645042 9908507 13747405 14155010 15822485 19817014 21612605 23959763 27494810 31644970 43225210 47919526 49542535 75021553 86345561 99085070 119798815 150043106 167718341 172691122 239597630 335436682 375107765 431727805 525150871 604418927 750215530 838591705 863455610 1050301742 1208837854 1677183410 2625754355 3022094635 4576314733 5251508710 6044189270 9152629466 22881573665 32034203131 45763147330 64068406262 160171015655 320342031310