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11211203031000 = 2335371475336187
BaseRepresentation
bin1010001100100100111111…
…0001100010111111011000
31110200210002000102022012220
42203021033301202333120
52432141020433443000
635502204445304040
72234661030263310
oct243111761427730
943623060368186
1011211203031000
11363270a921115
121310981265020
1363429a74664b
142aa8a7498440
151469684251a0
hexa324fc62fd8

11211203031000 has 256 divisors, whose sum is σ = 39979761269760. Its totient is φ = 2562316185600.

The previous prime is 11211203030981. The next prime is 11211203031001. The reversal of 11211203031000 is 13030211211.

It is a happy number.

It is a super-2 number, since 2×112112030310002 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11211203031001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 309794907 + ... + 309831093.

It is an arithmetic number, because the mean of its divisors is an integer number (156170942460).

Almost surely, 211211203031000 is an apocalyptic number.

11211203031000 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 11211203031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19989880634880).

11211203031000 is an abundant number, since it is smaller than the sum of its proper divisors (28768558238760).

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

11211203031000 is a wasteful number, since it uses less digits than its factorization.

11211203031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50971 (or 50957 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 11211203031000 its reverse (13030211211), we get a palindrome (11224233242211).

The spelling of 11211203031000 in words is "eleven trillion, two hundred eleven billion, two hundred three million, thirty-one thousand".