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211231144344 = 2331117251187513
BaseRepresentation
bin1100010010111001011…
…0110111100110011000
3202012020001122221011110
43010232112313212120
511430100133104334
6241012132300320
721155335050033
oct3045626674630
9665201587143
10211231144344
1181645524180
1234b30a716a0
1316bc40b690c
14a31b96001a
155764470ae9
hex312e5b7998

211231144344 has 128 divisors (see below), whose sum is σ = 612405722880. Its totient is φ = 60003840000.

The previous prime is 211231144297. The next prime is 211231144351. The reversal of 211231144344 is 443441132112.

It is a happy number.

211231144344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1032732 + ... + 1220244.

It is an arithmetic number, because the mean of its divisors is an integer number (4784419710).

Almost surely, 2211231144344 is an apocalyptic number.

211231144344 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 211231144344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306202861440).

211231144344 is an abundant number, since it is smaller than the sum of its proper divisors (401174578536).

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

211231144344 is a wasteful number, since it uses less digits than its factorization.

211231144344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187801 (or 187797 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

Adding to 211231144344 its reverse (443441132112), we get a palindrome (654672276456).

The spelling of 211231144344 in words is "two hundred eleven billion, two hundred thirty-one million, one hundred forty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 187 204 251 264 374 408 502 561 748 753 1004 1122 1496 1506 2008 2244 2761 3012 4267 4488 5522 6024 8283 8534 11044 12801 16566 17068 22088 25602 33132 34136 46937 51204 66264 93874 102408 140811 187513 187748 281622 375026 375496 562539 563244 750052 1125078 1126488 1500104 2062643 2250156 3187721 4125286 4500312 6187929 6375442 8250572 9563163 12375858 12750884 16501144 19126326 24751716 25501768 35064931 38252652 47065763 49503432 70129862 76505304 94131526 105194793 140259724 141197289 188263052 210389586 280519448 282394578 376526104 420779172 517723393 564789156 800117971 841558344 1035446786 1129578312 1553170179 1600235942 2070893572 2400353913 3106340358 3200471884 4141787144 4800707826 6212680716 6400943768 8801297681 9601415652 12425361432 17602595362 19202831304 26403893043 35205190724 52807786086 70410381448 105615572172 211231144344