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211013101224240 = 24357314051710853
BaseRepresentation
bin101111111110101001010000…
…111100010000000100110000
31000200010122200211112212220020
4233332221100330100010300
5210124214312403133430
62024442025213443440
762306123234210160
oct5776512074200460
91020118624485806
10211013101224240
11612651765a4a07
121b7bb9047a0580
1390985b0a36713
143a171351545a0
15195de059e2b10
hexbfea50f10130

211013101224240 has 160 divisors (see below), whose sum is σ = 771705056096256. Its totient is φ = 46675709015040.

The previous prime is 211013101224199. The next prime is 211013101224259. The reversal of 211013101224240 is 42422101310112.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 211013101224240.

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, 2025803347 + ... + 2025907506.

Almost surely, 2211013101224240 is an apocalyptic number.

211013101224240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211013101224240 is an abundant number, since it is smaller than the sum of its proper divisors (560691954872016).

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

211013101224240 is a wasteful number, since it uses less digits than its factorization.

211013101224240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4051710907 (or 4051710901 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 211013101224240 its reverse (42422101310112), we get a palindrome (253435202534352).

The spelling of 211013101224240 in words is "two hundred eleven trillion, thirteen billion, one hundred one million, two hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 31 35 40 42 48 56 60 62 70 80 84 93 105 112 120 124 140 155 168 186 210 217 240 248 280 310 336 372 420 434 465 496 560 620 651 744 840 868 930 1085 1240 1302 1488 1680 1736 1860 2170 2480 2604 3255 3472 3720 4340 5208 6510 7440 8680 10416 13020 17360 26040 52080 4051710853 8103421706 12155132559 16206843412 20258554265 24310265118 28361975971 32413686824 40517108530 48620530236 56723951942 60775662795 64827373648 81034217060 85085927913 97241060472 113447903884 121551325590 125603036443 141809879855 162068434120 170171855826 194482120944 226895807768 243102651180 251206072886 283619759710 324136868240 340343711652 376809109329 425429639565 453791615536 486205302360 502412145772 567239519420 628015182215 680687423304 753618218658 850859279130 879221255101 972410604720 1004824291544 1134479038840 1256030364430 1361374846608 1507236437316 1701718558260 1758442510202 1884045546645 2009648583088 2268958077680 2512060728860 2637663765303 3014472874632 3403437116520 3516885020404 3768091093290 4396106275505 5024121457720 5275327530606 6028945749264 6806874233040 7033770040808 7536182186580 8792212551010 10048242915440 10550655061212 13188318826515 14067540081616 15072364373160 17584425102020 21101310122424 26376637653030 30144728746320 35168850204040 42202620244848 52753275306060 70337700408080 105506550612120 211013101224240