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31241022112240 = 2452959907251639
BaseRepresentation
bin1110001101001110111100…
…00001101000000111110000
311002121121112112202002100221
413012213132001220013300
513043323103130042430
6150235532154022424
76403042436321143
oct706473601500760
9132547475662327
1031241022112240
119a55274592246
123606877117a14
131458028789345
147a0105b0805a
153929b609957a
hex1c69de0681f0

31241022112240 has 160 divisors (see below), whose sum is σ = 76498157376000. Its totient is φ = 11847873967104.

The previous prime is 31241022112217. The next prime is 31241022112249. The reversal of 31241022112240 is 4221122014213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31241022112249) 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, 124024341 + ... + 124275979.

It is an arithmetic number, because the mean of its divisors is an integer number (478113483600).

Almost surely, 231241022112240 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 31241022112240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38249078688000).

31241022112240 is an abundant number, since it is smaller than the sum of its proper divisors (45257135263760).

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

31241022112240 is a wasteful number, since it uses less digits than its factorization.

31241022112240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252647 (or 252641 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 31241022112240 its reverse (4221122014213), we get a palindrome (35462144126453).

The spelling of 31241022112240 in words is "thirty-one trillion, two hundred forty-one billion, twenty-two million, one hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 59 80 116 118 145 232 236 290 295 464 472 580 590 907 944 1160 1180 1711 1814 2320 2360 3422 3628 4535 4720 6844 7256 8555 9070 13688 14512 17110 18140 26303 27376 34220 36280 52606 53513 68440 72560 105212 107026 131515 136880 210424 214052 251639 263030 267565 420848 428104 503278 526060 535130 856208 1006556 1052120 1070260 1258195 1551877 2013112 2104240 2140520 2516390 3103754 4026224 4281040 5032780 6207508 7297531 7759385 10065560 12415016 14595062 14846701 15518770 20131120 24830032 29190124 29693402 31037540 36487655 58380248 59386804 62075080 72975310 74233505 116760496 118773608 124150160 145950620 148467010 228236573 237547216 291901240 296934020 430554329 456473146 583802480 593868040 861108658 912946292 1141182865 1187736080 1722217316 1825892584 2152771645 2282365730 3444434632 3651785168 4305543290 4564731460 6618860617 6888869264 8611086580 9129462920 13237721234 13465957807 17222173160 18258925840 26475442468 26931915614 33094303085 34444346320 52950884936 53863831228 66188606170 67329789035 105901769872 107727662456 132377212340 134659578070 215455324912 264754424680 269319156140 390512776403 529508849360 538638312280 781025552806 1077276624560 1562051105612 1952563882015 3124102211224 3905127764030 6248204422448 7810255528060 15620511056120 31241022112240