Search a number
-
+
11210020102120 = 2357223643279211
BaseRepresentation
bin1010001100100000100101…
…0001000001111111101000
31110200200000120112021212011
42203020021101001333220
52432131110121231440
635501451231125304
72234616514455130
oct243101121017750
943620016467764
1011210020102120
113632163115144
1213106b1073834
1363413c64b428
142aa7d432dac0
151468e965c9ea
hexa3209441fe8

11210020102120 has 128 divisors (see below), whose sum is σ = 29000164515840. Its totient is φ = 3820236099840.

The previous prime is 11210020102117. The next prime is 11210020102129. The reversal of 11210020102120 is 2120102001211.

It is a self number, because there is not a number n which added to its sum of digits gives 11210020102120.

It is not an unprimeable number, because it can be changed into a prime (11210020102129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40009315 + ... + 40288525.

It is an arithmetic number, because the mean of its divisors is an integer number (226563785280).

Almost surely, 211210020102120 is an apocalyptic number.

11210020102120 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 11210020102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14500082257920).

11210020102120 is an abundant number, since it is smaller than the sum of its proper divisors (17790144413720).

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

11210020102120 is a wasteful number, since it uses less digits than its factorization.

11210020102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280095 (or 280091 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 11210020102120 its reverse (2120102001211), we get a palindrome (13330122103331).

The spelling of 11210020102120 in words is "eleven trillion, two hundred ten billion, twenty million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 223 280 446 643 892 1115 1286 1561 1784 2230 2572 3122 3215 4460 4501 5144 6244 6430 7805 8920 9002 12488 12860 15610 18004 22505 25720 31220 36008 45010 62440 90020 143389 180040 279211 286778 558422 573556 716945 1003723 1116844 1147112 1396055 1433890 1954477 2007446 2233688 2792110 2867780 3908954 4014892 5018615 5584220 5735560 7817908 8029784 9772385 10037230 11168440 15635816 19544770 20074460 39089540 40148920 62264053 78179080 124528106 179532673 249056212 311320265 359065346 435848371 498112424 622640530 718130692 871696742 897663365 1245281060 1256728711 1436261384 1743393484 1795326730 2179241855 2490562120 2513457422 3486786968 3590653460 4358483710 5026914844 6283643555 7181306920 8716967420 10053829688 12567287110 17433934840 25134574220 40035786079 50269148440 80071572158 160143144316 200178930395 280250502553 320286288632 400357860790 560501005106 800715721580 1121002010212 1401252512765 1601431443160 2242004020424 2802505025530 5605010051060 11210020102120