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11012103000 = 2332531976211
BaseRepresentation
bin10100100000101111…
…10101101101011000
31001102110012210102200
422100113311231120
5140023044244000
65020415330200
7536614221363
oct122027655530
931373183380
1011012103000
114741054a78
122173b20960
1310665a44a2
147667410da
15446b80500
hex2905f5b58

11012103000 has 192 divisors, whose sum is σ = 37415869920. Its totient is φ = 2921184000.

The previous prime is 11012102993. The next prime is 11012103029. The reversal of 11012103000 is 30121011.

11012103000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1769895 + ... + 1776105.

Almost surely, 211012103000 is an apocalyptic number.

11012103000 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 11012103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18707934960).

11012103000 is an abundant number, since it is smaller than the sum of its proper divisors (26403766920).

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

11012103000 is a wasteful number, since it uses less digits than its factorization.

11012103000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6435 (or 6418 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 11012103000 its reverse (30121011), we get a palindrome (11042224011).

The spelling of 11012103000 in words is "eleven billion, twelve million, one hundred three thousand".