Search a number
-
+
11014450260020 = 22523283464318223
BaseRepresentation
bin1010000001001000000001…
…1001010010100000110100
31102222222012222100221111222
42200102000121102200310
52420430043231310040
635231545114445512
72214524226313304
oct240220031224064
942888188327458
1011014450260020
113567225031169
12129a811133898
1361b8730c107c
142a1160777604
151417a00ccbb5
hexa0480652834

11014450260020 has 96 divisors (see below), whose sum is σ = 24227845189632. Its totient is φ = 4198198359168.

The previous prime is 11014450260001. The next prime is 11014450260133. The reversal of 11014450260020 is 2006205441011.

It is a super-2 number, since 2×110144502600202 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 604416629 + ... + 604434851.

It is an arithmetic number, because the mean of its divisors is an integer number (252373387392).

Almost surely, 211014450260020 is an apocalyptic number.

11014450260020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11014450260020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12113922594816).

11014450260020 is an abundant number, since it is smaller than the sum of its proper divisors (13213394929612).

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

11014450260020 is a wasteful number, since it uses less digits than its factorization.

11014450260020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23181 (or 23179 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The spelling of 11014450260020 in words is "eleven trillion, fourteen billion, four hundred fifty million, two hundred sixty thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 283 460 566 1132 1415 2830 4643 5660 6509 9286 13018 18223 18572 23215 26036 32545 36446 46430 65090 72892 91115 92860 106789 130180 182230 213578 364460 419129 427156 533945 838258 1067890 1313969 1676516 2095645 2135780 2627938 4191290 5157109 5255876 6569845 8382580 10314218 13139690 20628436 25785545 26279380 30221287 51571090 60442574 84609389 103142180 118613507 120885148 151106435 169218778 237227014 302212870 338437556 423046945 474454028 593067535 604425740 846093890 1186135070 1692187780 1946015947 2372270140 3892031894 7784063788 9730079735 19460159470 23944457087 38920318940 47888914174 95777828348 119722285435 239444570870 478889141740 550722513001 1101445026002 2202890052004 2753612565005 5507225130010 11014450260020