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11230506600 = 23352145912829
BaseRepresentation
bin10100111010110001…
…11110111001101000
31001222200011211211220
422131120332321220
5141000002202400
65054220422040
7545205505515
oct123530767150
931880154756
1011230506600
114843367915
1222150a7920
13109c9033a1
1478775430c
1545ae227a0
hex29d63ee68

11230506600 has 96 divisors (see below), whose sum is σ = 34841148000. Its totient is φ = 2992515840.

The previous prime is 11230506583. The next prime is 11230506601. The reversal of 11230506600 is 660503211.

It is a super-2 number, since 2×112305066002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (11230506601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 868986 + ... + 881814.

It is an arithmetic number, because the mean of its divisors is an integer number (362928625).

Almost surely, 211230506600 is an apocalyptic number.

11230506600 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 11230506600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17420574000).

11230506600 is an abundant number, since it is smaller than the sum of its proper divisors (23610641400).

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

11230506600 is a wasteful number, since it uses less digits than its factorization.

11230506600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14307 (or 14298 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The spelling of 11230506600 in words is "eleven billion, two hundred thirty million, five hundred six thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 1459 2918 4377 5836 7295 8754 11672 12829 14590 17508 21885 25658 29180 35016 36475 38487 43770 51316 58360 64145 72950 76974 87540 102632 109425 128290 145900 153948 175080 192435 218850 256580 291800 307896 320725 384870 437700 513160 641450 769740 875400 962175 1282900 1539480 1924350 2565800 3848700 7697400 18717511 37435022 56152533 74870044 93587555 112305066 149740088 187175110 224610132 280762665 374350220 449220264 467937775 561525330 748700440 935875550 1123050660 1403813325 1871751100 2246101320 2807626650 3743502200 5615253300 11230506600