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20310132310314 = 23711101829525043
BaseRepresentation
bin1001001111000110100100…
…01110001100000100101010
32122220122000001010020011020
410213203102032030010222
510130230122332412224
6111110202421513310
74164234004121460
oct447432216140452
978818001106136
1020310132310314
11652052a229010
1223402a6272836
13b44311347022
14503030d24830
152534a6d3ac79
hex1278d238c12a

20310132310314 has 128 divisors (see below), whose sum is σ = 51206659246080. Its totient is φ = 5216817312000.

The previous prime is 20310132310291. The next prime is 20310132310333. The reversal of 20310132310314 is 41301323101302.

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 63 ways as a sum of consecutive naturals, for example, 38420277 + ... + 38945319.

It is an arithmetic number, because the mean of its divisors is an integer number (400052025360).

Almost surely, 220310132310314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20310132310314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25603329623040).

20310132310314 is an abundant number, since it is smaller than the sum of its proper divisors (30896526935766).

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

20310132310314 is a wasteful number, since it uses less digits than its factorization.

20310132310314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525996.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 20310132310314 its reverse (41301323101302), we get a palindrome (61611455411616).

The spelling of 20310132310314 in words is "twenty trillion, three hundred ten billion, one hundred thirty-two million, three hundred ten thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 101 154 202 231 303 462 606 707 829 1111 1414 1658 2121 2222 2487 3333 4242 4974 5803 6666 7777 9119 11606 15554 17409 18238 23331 27357 34818 46662 54714 63833 83729 127666 167458 191499 251187 382998 502374 525043 586103 921019 1050086 1172206 1575129 1758309 1842038 2763057 3150258 3516618 3675301 5526114 5775473 6447133 7350602 11025903 11550946 12894266 17326419 19341399 22051806 34652838 38682798 40428311 53029343 80856622 106058686 121284933 159088029 242569866 318176058 371205401 435260647 583322773 742410802 870521294 1113616203 1166645546 1305781941 1749968319 2227232406 2611563882 3046824529 3499936638 4083259411 4787867117 6093649058 8166518822 9140473587 9575734234 12249778233 14363601351 18280947174 24499556466 28727202702 33515069819 43961325347 67030139638 87922650694 100545209457 131883976041 201090418914 263767952082 307729277429 483574578817 615458554858 923187832287 967149157634 1450723736451 1846375664574 2901447472902 3385022051719 6770044103438 10155066155157 20310132310314