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11213101300 = 2252112131013
BaseRepresentation
bin10100111000101101…
…00101100011110100
31001221110102120021011
422130112211203310
5140431023220200
65052355402004
7544604534302
oct123426454364
931843376234
1011213101300
114834559a75
12220b2b3304
13109911acab
14785303272
154596355ba
hex29c5a58f4

11213101300 has 18 divisors (see below), whose sum is σ = 24332430038. Its totient is φ = 4485240480.

The previous prime is 11213101261. The next prime is 11213101303. The reversal of 11213101300 is 310131211.

11213101300 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 3 ways, for example, as 52446564 + 11160654736 = 7242^2 + 105644^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11213101303) 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 5 ways as a sum of consecutive naturals, for example, 56065407 + ... + 56065606.

Almost surely, 211213101300 is an apocalyptic number.

11213101300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11213101300 is an abundant number, since it is smaller than the sum of its proper divisors (13119328738).

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

11213101300 is a wasteful number, since it uses less digits than its factorization.

11213101300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112131027 (or 112131020 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 11213101300 its reverse (310131211), we get a palindrome (11523232511).

The spelling of 11213101300 in words is "eleven billion, two hundred thirteen million, one hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 112131013 224262026 448524052 560655065 1121310130 2242620260 2803275325 5606550650 11213101300