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11210000100 = 2235213101149191
BaseRepresentation
bin10100111000010101…
…10000011011100100
31001221020121000012220
422130022300123210
5140424230000400
65052205112340
7544536300015
oct123412603344
931836530186
1011210000100
114832830aa2
12220a2586b0
1310985a3570
14784b3700c
154592217a0
hex29c2b06e4

11210000100 has 288 divisors, whose sum is σ = 35697715200. Its totient is φ = 2699520000.

The previous prime is 11210000089. The next prime is 11210000119. The reversal of 11210000100 is 100001211.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58691005 + ... + 58691195.

It is an arithmetic number, because the mean of its divisors is an integer number (123950400).

Almost surely, 211210000100 is an apocalyptic number.

11210000100 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 11210000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17848857600).

11210000100 is an abundant number, since it is smaller than the sum of its proper divisors (24487715100).

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

11210000100 is a wasteful number, since it uses less digits than its factorization.

11210000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 11210000100 its reverse (100001211), we get a palindrome (11310001311).

The spelling of 11210000100 in words is "eleven billion, two hundred ten million, one hundred", and thus it is an aban number.