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31330224306304 = 2771119167305111
BaseRepresentation
bin1110001111110101000101…
…11000111111100010000000
311002221010210012102001111021
413013322202320333202000
513101303244410300204
6150344523434355224
76412351110416650
oct707724270774200
9132833705361437
1031330224306304
119a8a089930990
12362001088bb14
1314635732162b1
147a4568a8c360
15394e87384154
hex1c7ea2e3f880

31330224306304 has 128 divisors (see below), whose sum is σ = 81912582835200. Its totient is φ = 11564129203200.

The previous prime is 31330224306301. The next prime is 31330224306383. The reversal of 31330224306304 is 40360342203313.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 31330224306304.

It is not an unprimeable number, because it can be changed into a prime (31330224306301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83465292 + ... + 83839819.

It is an arithmetic number, because the mean of its divisors is an integer number (639942053400).

Almost surely, 231330224306304 is an apocalyptic number.

It is an amenable number.

31330224306304 is an abundant number, since it is smaller than the sum of its proper divisors (50582358528896).

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

31330224306304 is a wasteful number, since it uses less digits than its factorization.

31330224306304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167305162 (or 167305150 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 34.

Adding to 31330224306304 its reverse (40360342203313), we get a palindrome (71690566509617).

The spelling of 31330224306304 in words is "thirty-one trillion, three hundred thirty billion, two hundred twenty-four million, three hundred six thousand, three hundred four".

Divisors: 1 2 4 7 8 11 14 16 19 22 28 32 38 44 56 64 76 77 88 112 128 133 152 154 176 209 224 266 304 308 352 418 448 532 608 616 704 836 896 1064 1216 1232 1408 1463 1672 2128 2432 2464 2926 3344 4256 4928 5852 6688 8512 9856 11704 13376 17024 23408 26752 46816 93632 187264 167305111 334610222 669220444 1171135777 1338440888 1840356221 2342271554 2676881776 3178797109 3680712442 4684543108 5353763552 6357594218 7361424884 9369086216 10707527104 12715188436 12882493547 14722849768 18738172432 21415054208 22251579763 25430376872 25764987094 29445699536 34966768199 37476344864 44503159526 50860753744 51529974188 58891399072 69933536398 74952689728 89006319052 101721507488 103059948376 117782798144 139867072796 149905379456 178012638104 203443014976 206119896752 235565596288 244767377393 279734145592 356025276208 406886029952 412239793504 489534754786 559468291184 712050552416 824479587008 979069509572 1118936582368 1424101104832 1648959174016 1958139019144 2237873164736 2848202209664 3916278038288 4475746329472 7832556076576 15665112153152 31330224306304