Search a number
-
+
20300000100303 = 371117311011651019
BaseRepresentation
bin1001001110110011101100…
…10010110111111111001111
32122212122211220120121222210
410213121312102313333033
510130043400011202203
6111101405153241503
74163424632552550
oct447316622677717
978778756517883
1020300000100303
1165171aa922730
12233a338b63293
13b433881491a1
1450274d3c8327
152530b2564803
hex1276764b7fcf

20300000100303 has 128 divisors (see below), whose sum is σ = 37248279183360. Its totient is φ = 9509863680000.

The previous prime is 20300000100293. The next prime is 20300000100313. The reversal of 20300000100303 is 30300100000302.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20300000100293) and next prime (20300000100313).

It is not a de Polignac number, because 20300000100303 - 210 = 20300000099279 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20300000100313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11469928 + ... + 13120946.

It is an arithmetic number, because the mean of its divisors is an integer number (291002181120).

Almost surely, 220300000100303 is an apocalyptic number.

20300000100303 is a deficient number, since it is larger than the sum of its proper divisors (16948279083057).

20300000100303 is a wasteful number, since it uses less digits than its factorization.

20300000100303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1651189.

The product of its (nonzero) digits is 54, while the sum is 12.

Adding to 20300000100303 its reverse (30300100000302), we get a palindrome (50600100100605).

The spelling of 20300000100303 in words is "twenty trillion, three hundred billion, one hundred thousand, three hundred three".

Divisors: 1 3 7 11 17 21 31 33 51 77 93 101 119 187 217 231 303 341 357 527 561 651 707 1023 1111 1309 1581 1717 2121 2387 3131 3333 3689 3927 5151 5797 7161 7777 9393 11067 12019 17391 18887 21917 23331 34441 36057 40579 53227 56661 65751 103323 121737 132209 159681 241087 372589 396627 585497 723261 1117767 1651019 1756491 4098479 4953057 11557133 12295437 18161209 28067323 34671399 51181589 54483627 84201969 127128463 153544767 166752919 196471261 308740553 358271123 381385389 500258757 562997479 589413783 870087013 926221659 1074813369 1167270433 1688992437 1834282109 2161183871 2610261039 2834799623 3501811299 3940982353 5169340489 5502846327 6090609091 6483551613 8504398869 9570957143 11822947059 12839974763 15508021467 18271827273 19843597361 28712871429 31182795853 36185383423 38519924289 56862745379 59530792083 66996700001 87878788313 93548387559 108556150269 170588236137 200990100003 218279570971 263636364939 398039217653 615151518191 654838712913 966666671443 1194117652959 1845454554573 2900000014329 6766666700101 20300000100303