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11230200013032 = 233372111323322607
BaseRepresentation
bin1010001101101011110000…
…0101010010000011101000
31110202121002221120222111000
42203122330011102003220
52432443422200404112
635515025504435000
72236232553046500
oct243327405220350
943677087528430
1011230200013032
11363a779155970
1213145a3318a60
13636007398510
142ab78a488a00
151471cb0b57dc
hexa36bc1520e8

11230200013032 has 768 divisors, whose sum is σ = 44485836595200. Its totient is φ = 2575479836160.

The previous prime is 11230200013013. The next prime is 11230200013069. The reversal of 11230200013032 is 23031000203211.

It is a super-2 number, since 2×112302000130322 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11230200012996 and 11230200013014.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 34649473 + ... + 34972079.

It is an arithmetic number, because the mean of its divisors is an integer number (57924266400).

Almost surely, 211230200013032 is an apocalyptic number.

11230200013032 is a gapful number since it is divisible by the number (12) 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 11230200013032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22242918297600).

11230200013032 is an abundant number, since it is smaller than the sum of its proper divisors (33255636582168).

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

11230200013032 is a wasteful number, since it uses less digits than its factorization.

11230200013032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322683 (or 322666 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 11230200013032 its reverse (23031000203211), we get a palindrome (34261200216243).

The spelling of 11230200013032 in words is "eleven trillion, two hundred thirty billion, two hundred million, thirteen thousand, thirty-two".