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20101220000011 = 17192353131389713
BaseRepresentation
bin1001001001000001011100…
…00100111110000100001011
32122011122202120202021022001
410210200232010332010023
510113314244310000021
6110430212322011431
74143156653564503
oct444405604760413
978148676667261
1020101220000011
11644a97471a207
122307901aa6b77
13b2a6c979b077
144d6c93336a03
1524cd2b25c091
hex12482e13e10b

20101220000011 has 64 divisors (see below), whose sum is σ = 24000895226880. Its totient is φ = 16691894968320.

The previous prime is 20101219999999. The next prime is 20101220000023. The reversal of 20101220000011 is 11000002210102.

It is an interprime number because it is at equal distance from previous prime (20101219999999) and next prime (20101220000023).

It is not a de Polignac number, because 20101220000011 - 225 = 20101186445579 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20101220000611) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51384691 + ... + 51774403.

It is an arithmetic number, because the mean of its divisors is an integer number (375013987920).

Almost surely, 220101220000011 is an apocalyptic number.

20101220000011 is a deficient number, since it is larger than the sum of its proper divisors (3899675226869).

20101220000011 is a wasteful number, since it uses less digits than its factorization.

20101220000011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389956.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 20101220000011 its reverse (11000002210102), we get a palindrome (31101222210113).

The spelling of 20101220000011 in words is "twenty trillion, one hundred one billion, two hundred twenty million, eleven", and thus it is an aban number.

Divisors: 1 17 19 23 53 131 323 391 437 901 1007 1219 2227 2489 3013 6943 7429 17119 20723 23161 42313 51221 57247 118031 131917 159689 389713 393737 973199 2242589 2714713 3034091 6625121 7404547 8963399 20654789 51052403 51579547 125877299 152377783 170304581 351131413 392440991 475060147 867890851 969995657 1174205269 2705777359 2895177877 6671496847 8076022499 9026142793 16489926169 19961489573 22309900111 45998215103 51409769821 62232879257 153444427481 379268301887 873966086957 1057958947369 1182424705883 20101220000011