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11133023100 = 2235237110077
BaseRepresentation
bin10100101111001010…
…00111001101111100
31001201212202011121220
422113211013031330
5140300023214400
65040415153340
7542613064203
oct122745071574
931655664556
1011133023100
1147a3335041
1221a8515850
131085661144
1477881a23a
154525b87a0
hex29794737c

11133023100 has 36 divisors (see below), whose sum is σ = 32211547704. Its totient is φ = 2968806080.

The previous prime is 11133023081. The next prime is 11133023101. The reversal of 11133023100 is 132033111.

It is a super-2 number, since 2×111330231002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11133023100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11133023101) 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 11 ways as a sum of consecutive naturals, for example, 18554739 + ... + 18555338.

It is an arithmetic number, because the mean of its divisors is an integer number (894765214).

Almost surely, 211133023100 is an apocalyptic number.

11133023100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11133023100 is an abundant number, since it is smaller than the sum of its proper divisors (21078524604).

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

11133023100 is a wasteful number, since it uses less digits than its factorization.

11133023100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37110094 (or 37110087 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 11133023100 its reverse (132033111), we get a palindrome (11265056211).

The spelling of 11133023100 in words is "eleven billion, one hundred thirty-three million, twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 37110077 74220154 111330231 148440308 185550385 222660462 371100770 445320924 556651155 742201540 927751925 1113302310 1855503850 2226604620 2783255775 3711007700 5566511550 11133023100