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31032330311312 = 241110314891149661
BaseRepresentation
bin1110000111001010001110…
…00001100101011010010000
311001212122212110022011111122
413003211013001211122100
513031413203024430222
6150000020012301412
76352004034301511
oct703450701453220
9131778773264448
1031032330311312
1199848124a43a0
123592334771868
13144144a7c88c5
14793d8951aa08
1538c34ea26a42
hex1c3947065690

31032330311312 has 80 divisors (see below), whose sum is σ = 66272403949440. Its totient is φ = 13959263692800.

The previous prime is 31032330311251. The next prime is 31032330311321. The reversal of 31032330311312 is 21311303323013.

It is a super-2 number, since 2×310323303113122 (a number of 28 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 26417762 + ... + 27567422.

It is an arithmetic number, because the mean of its divisors is an integer number (828405049368).

Almost surely, 231032330311312 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 31032330311312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33136201974720).

31032330311312 is an abundant number, since it is smaller than the sum of its proper divisors (35240073638128).

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

31032330311312 is a wasteful number, since it uses less digits than its factorization.

31032330311312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151272 (or 1151266 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 26.

Adding to 31032330311312 its reverse (21311303323013), we get a palindrome (52343633634325).

The spelling of 31032330311312 in words is "thirty-one trillion, thirty-two billion, three hundred thirty million, three hundred eleven thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 88 103 176 206 412 824 1133 1489 1648 2266 2978 4532 5956 9064 11912 16379 18128 23824 32758 65516 131032 153367 262064 306734 613468 1149661 1226936 1687037 2299322 2453872 3374074 4598644 6748148 9197288 12646271 13496296 18394576 25292542 26992592 50585084 101170168 118415083 202340336 236830166 473660332 947320664 1302565913 1711845229 1894641328 2605131826 3423690458 5210263652 6847380916 10420527304 13694761832 18830297519 20841054608 27389523664 37660595038 75321190076 150642380152 176320058587 301284760304 352640117174 705280234348 1410560468696 1939520644457 2821120937392 3879041288914 7758082577828 15516165155656 31032330311312