Search a number
-
+
313023211312 = 247103157401431
BaseRepresentation
bin1001000111000011010…
…00110010011100110000
31002220222010101201010211
410203201220302130300
520112032420230222
6355444553433504
731421002252420
oct4434150623460
91086863351124
10313023211312
11110830495759
12507baa0b894
1323696c695c6
14112169d0480
158220b98277
hex48e1a32730

313023211312 has 160 divisors (see below), whose sum is σ = 707704418304. Its totient is φ = 131369472000.

The previous prime is 313023211271. The next prime is 313023211313. The reversal of 313023211312 is 213112320313.

It is a super-2 number, since 2×3130232113122 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (313023211313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 726271737 + ... + 726272167.

Almost surely, 2313023211312 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 313023211312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353852209152).

313023211312 is an abundant number, since it is smaller than the sum of its proper divisors (394681206992).

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

313023211312 is a wasteful number, since it uses less digits than its factorization.

313023211312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 313023211312 its reverse (213112320313), we get a palindrome (526135531625).

The spelling of 313023211312 in words is "three hundred thirteen billion, twenty-three million, two hundred eleven thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 56 103 112 157 206 314 401 412 431 628 721 802 824 862 1099 1256 1442 1604 1648 1724 2198 2512 2807 2884 3017 3208 3448 4396 5614 5768 6034 6416 6896 8792 11228 11536 12068 16171 17584 22456 24136 32342 41303 44393 44912 48272 62957 64684 67667 82606 88786 113197 125914 129368 135334 165212 172831 177572 226394 251828 258736 270668 289121 310751 330424 345662 355144 440699 452788 473669 503656 541336 578242 621502 660848 691324 710288 881398 905576 947338 1007312 1082672 1156484 1209817 1243004 1382648 1762796 1811152 1894676 2312968 2419634 2486008 2765296 3525592 3789352 4625936 4839268 4972016 6484571 6969701 7051184 7578704 9678536 12969142 13939402 17801593 19357072 25938284 27134467 27878804 35603186 45391997 48787907 51876568 54268934 55757608 71206372 90783994 97575814 103753136 108537868 111515216 124611151 142412744 181567988 189941269 195151628 217075736 249222302 284825488 363135976 379882538 390303256 434151472 498444604 726271952 759765076 780606512 996889208 1519530152 1993778416 2794850101 3039060304 5589700202 11179400404 19563950707 22358800808 39127901414 44717601616 78255802828 156511605656 313023211312