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11300100 = 2235275381
BaseRepresentation
bin101011000110…
…110100000100
3210021002211020
4223012310010
510343100400
61042111140
7165022620
oct53066404
923232736
1011300100
116418a29
12394b4b0
132458566
141702180
15ed32a0
hexac6d04

11300100 has 72 divisors (see below), whose sum is σ = 37372608. Its totient is φ = 2582400.

The previous prime is 11300083. The next prime is 11300101. The reversal of 11300100 is 100311.

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 not an unprimeable number, because it can be changed into a prime (11300101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 591 + ... + 4790.

It is an arithmetic number, because the mean of its divisors is an integer number (519064).

Almost surely, 211300100 is an apocalyptic number.

11300100 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 11300100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18686304).

11300100 is an abundant number, since it is smaller than the sum of its proper divisors (26072508).

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

11300100 is a wasteful number, since it uses less digits than its factorization.

11300100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5405 (or 5398 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 6.

The square root of 11300100 is about 3361.5621368643. The cubic root of 11300100 is about 224.4023646092.

Adding to 11300100 its reverse (100311), we get a palindrome (11400411).

The spelling of 11300100 in words is "eleven million, three hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 5381 10762 16143 21524 26905 32286 37667 53810 64572 75334 80715 107620 113001 134525 150668 161430 188335 226002 269050 322860 376670 403575 452004 538100 565005 753340 807150 941675 1130010 1614300 1883350 2260020 2825025 3766700 5650050 11300100