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211343323344 = 24337435095437
BaseRepresentation
bin1100010011010100001…
…0110011000011010000
3202012111212202012211020
43010311002303003100
511430312342321334
6241031220515440
721161166415356
oct3046502630320
9665455665736
10211343323344
11816a288399a
1234b6254bb80
1316c11402a1a
14a32c8017d6
15576e22de49
hex31350b30d0

211343323344 has 160 divisors (see below), whose sum is σ = 574999328640. Its totient is φ = 66805917696.

The previous prime is 211343323343. The next prime is 211343323357. The reversal of 211343323344 is 443323343112.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211343323343) 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, 38868594 + ... + 38874030.

It is an arithmetic number, because the mean of its divisors is an integer number (3593745804).

Almost surely, 2211343323344 is an apocalyptic number.

211343323344 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 211343323344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287499664320).

211343323344 is an abundant number, since it is smaller than the sum of its proper divisors (363656005296).

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

211343323344 is a wasteful number, since it uses less digits than its factorization.

211343323344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6037 (or 6031 counting only the distinct ones).

The product of its digits is 62208, while the sum is 33.

Adding to 211343323344 its reverse (443323343112), we get a palindrome (654666666456).

The spelling of 211343323344 in words is "two hundred eleven billion, three hundred forty-three million, three hundred twenty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 37 43 48 74 86 111 129 148 172 222 258 296 344 444 509 516 592 688 888 1018 1032 1527 1591 1776 2036 2064 3054 3182 4072 4773 5437 6108 6364 8144 9546 10874 12216 12728 16311 18833 19092 21748 21887 24432 25456 32622 37666 38184 43496 43774 56499 65244 65661 75332 76368 86992 87548 112998 130488 131322 150664 175096 201169 225996 233791 260976 262644 301328 350192 402338 451992 467582 525288 603507 701373 804676 809819 903984 935164 1050576 1207014 1402746 1609352 1619638 1870328 2414028 2429457 2767433 2805492 3218704 3239276 3740656 4828056 4858914 5534866 5610984 6478552 8302299 8650267 9656112 9717828 11069732 11221968 12957104 16604598 17300534 19435656 22139464 25950801 33209196 34601068 38871312 44278928 51901602 66418392 69202136 102395021 103803204 118999619 132836784 138404272 204790042 207606408 237999238 307185063 356998857 409580084 415212816 475998476 614370126 713997714 819160168 951996952 1228740252 1427995428 1638320336 1903993904 2457480504 2855990856 4402985903 4914961008 5711981712 8805971806 13208957709 17611943612 26417915418 35223887224 52835830836 70447774448 105671661672 211343323344