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211101032012010 = 235711317874978151
BaseRepresentation
bin101111111111111011001010…
…000001100101100011101010
31000200110001122212211201110120
4233333323022001211203222
5210132134403143341020
62024550250355424110
762315355236446050
oct5777731201454352
91020401585751416
10211101032012010
11612994991a6248
121b8149645b5036
1390a3984c5a55a
143a1b4b72dc1d0
151961350389740
hexbffeca0658ea

211101032012010 has 128 divisors (see below), whose sum is σ = 584471046795264. Its totient is φ = 47797886438400.

The previous prime is 211101032011999. The next prime is 211101032012029. The reversal of 211101032012010 is 10210230101112.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39916435 + ... + 44894585.

It is an arithmetic number, because the mean of its divisors is an integer number (4566180053088).

Almost surely, 2211101032012010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211101032012010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292235523397632).

211101032012010 is an abundant number, since it is smaller than the sum of its proper divisors (373370014783254).

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

211101032012010 is a wasteful number, since it uses less digits than its factorization.

211101032012010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4980068.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 211101032012010 its reverse (10210230101112), we get a palindrome (221311262113122).

The spelling of 211101032012010 in words is "two hundred eleven trillion, one hundred one billion, thirty-two million, twelve thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 113 210 226 339 565 678 791 1130 1582 1695 1787 2373 3390 3574 3955 4746 5361 7910 8935 10722 11865 12509 17870 23730 25018 26805 37527 53610 62545 75054 125090 187635 201931 375270 403862 605793 1009655 1211586 1413517 2019310 2827034 3028965 4240551 4978151 6057930 7067585 8481102 9956302 14135170 14934453 21202755 24890755 29868906 34847057 42405510 49781510 69694114 74672265 104541171 149344530 174235285 209082342 348470570 522705855 562531063 1045411710 1125062126 1687593189 2812655315 3375186378 3937717441 5625310630 7875434882 8437965945 8895955837 11813152323 16875931890 17791911674 19688587205 23626304646 26687867511 39377174410 44479779185 53375735022 59065761615 62271690859 88959558370 118131523230 124543381718 133439337555 186815072577 266878675110 311358454295 373630145154 622716908590 934075362885 1005243009581 1868150725770 2010486019162 3015729028743 5026215047905 6031458057486 7036701067067 10052430095810 14073402134134 15078645143715 21110103201201 30157290287430 35183505335335 42220206402402 70367010670670 105550516006005 211101032012010