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20312310330 = 23351343134581
BaseRepresentation
bin10010111010101101…
…010100001000111010
31221102121012021111000
4102322231110020322
5313044422412310
613155323145430
71316233534434
oct227255241072
957377167430
1020312310330
118683851434
123b2a675276
131bb92c5a50
14da9981654
157dd3ac4c0
hex4bab5423a

20312310330 has 128 divisors (see below), whose sum is σ = 59689808640. Its totient is φ = 4883639040.

The previous prime is 20312310301. The next prime is 20312310341. The reversal of 20312310330 is 3301321302.

20312310330 is a `hidden beast` number, since 20 + 3 + 1 + 2 + 310 + 330 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 83640 + ... + 218220.

It is an arithmetic number, because the mean of its divisors is an integer number (466326630).

Almost surely, 220312310330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20312310330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29844904320).

20312310330 is an abundant number, since it is smaller than the sum of its proper divisors (39377498310).

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

20312310330 is a wasteful number, since it uses less digits than its factorization.

20312310330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134653 (or 134647 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 20312310330 its reverse (3301321302), we get a palindrome (23613631632).

The spelling of 20312310330 in words is "twenty billion, three hundred twelve million, three hundred ten thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 43 45 54 65 78 86 90 117 129 130 135 195 215 234 258 270 351 387 390 430 559 585 645 702 774 1118 1161 1170 1290 1677 1755 1935 2322 2795 3354 3510 3870 5031 5590 5805 8385 10062 11610 15093 16770 25155 30186 50310 75465 134581 150930 269162 403743 672905 807486 1211229 1345810 1749553 2018715 2422458 3499106 3633687 4037430 5248659 5786983 6056145 7267374 8747765 10497318 11573966 12112290 15745977 17360949 17495530 18168435 26243295 28934915 31491954 34721898 36336870 47237931 52082847 52486590 57869830 75230779 78729885 86804745 94475862 104165694 150461558 156248541 157459770 173609490 225692337 236189655 260414235 312497082 376153895 451384674 472379310 520828470 677077011 752307790 781242705 1128461685 1354154022 1562485410 2031231033 2256923370 3385385055 4062462066 6770770110 10156155165 20312310330