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11130662500 = 2255532317
BaseRepresentation
bin10100101110111000…
…00110111001100100
31001201201022020111021
422113130012321210
5140243422200000
65040252420524
7542554033036
oct122734067144
931651266437
1011130662500
1147a1a72531
1221a7777744
131085015839
147783a3c56
1545229e11a
hex297706e64

11130662500 has 108 divisors (see below), whose sum is σ = 24893086428. Its totient is φ = 4354480000.

The previous prime is 11130662443. The next prime is 11130662503. The reversal of 11130662500 is 526603111.

11130662500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 18 ways, for example, as 9449006436 + 1681656064 = 97206^2 + 41008^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (11130662503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 35112342 + ... + 35112658.

It is an arithmetic number, because the mean of its divisors is an integer number (230491541).

Almost surely, 211130662500 is an apocalyptic number.

11130662500 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 11130662500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12446543214).

11130662500 is an abundant number, since it is smaller than the sum of its proper divisors (13762423928).

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

11130662500 is an frugal number, since it uses more digits than its factorization.

11130662500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The spelling of 11130662500 in words is "eleven billion, one hundred thirty million, six hundred sixty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 125 212 250 265 317 500 530 625 634 1060 1250 1268 1325 1585 2500 2650 2809 3125 3170 5300 5618 6250 6340 6625 7925 11236 12500 13250 14045 15850 16801 26500 28090 31700 33125 33602 39625 56180 66250 67204 70225 79250 84005 132500 140450 158500 165625 168010 198125 280900 331250 336020 351125 396250 420025 662500 702250 792500 840050 890453 990625 1404500 1680100 1755625 1780906 1981250 2100125 3511250 3561812 3962500 4200250 4452265 7022500 8400500 8778125 8904530 10500625 17556250 17809060 21001250 22261325 35112500 42002500 44522650 52503125 89045300 105006250 111306625 210012500 222613250 445226500 556533125 1113066250 2226132500 2782665625 5565331250 11130662500