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221311031240 = 235136717213691
BaseRepresentation
bin1100111000011100101…
…0100101011111001000
3210011020112202020111202
43032013022211133020
512111221110444430
6245400251243332
721663202504265
oct3160712453710
9704215666452
10221311031240
1185948342412
1236a84749548
1317b3c4c4b30
14a9d655a26c
155b5435dd45
hex33872a57c8

221311031240 has 128 divisors (see below), whose sum is σ = 544721224320. Its totient is φ = 80426649600.

The previous prime is 221311031239. The next prime is 221311031257. The reversal of 221311031240 is 42130113122.

221311031240 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59957795 + ... + 59961485.

It is an arithmetic number, because the mean of its divisors is an integer number (4255634565).

Almost surely, 2221311031240 is an apocalyptic number.

221311031240 is a gapful number since it is divisible by the number (20) 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 221311031240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272360612160).

221311031240 is an abundant number, since it is smaller than the sum of its proper divisors (323410193080).

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

221311031240 is a wasteful number, since it uses less digits than its factorization.

221311031240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5503 (or 5499 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 221311031240 its reverse (42130113122), we get a palindrome (263441144362).

The spelling of 221311031240 in words is "two hundred twenty-one billion, three hundred eleven million, thirty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 67 104 130 134 260 268 335 520 536 670 871 1340 1721 1742 2680 3442 3484 3691 4355 6884 6968 7382 8605 8710 13768 14764 17210 17420 18455 22373 29528 34420 34840 36910 44746 47983 68840 73820 89492 95966 111865 115307 147640 178984 191932 223730 230614 239915 247297 383864 447460 461228 479830 494594 576535 894920 922456 959660 989188 1153070 1236485 1498991 1919320 1978376 2306140 2472970 2997982 3214861 4612280 4945940 5995964 6352211 6429722 7494955 9891880 11991928 12704422 12859444 14989910 16074305 25408844 25718888 29979820 31761055 32148610 50817688 59959640 63522110 64297220 82578743 127044220 128594440 165157486 254088440 330314972 412893715 425598137 660629944 825787430 851196274 1651574860 1702392548 2127990685 3303149720 3404785096 4255981370 5532775781 8511962740 11065551562 17023925480 22131103124 27663878905 44262206248 55327757810 110655515620 221311031240