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201211230030000 = 2435437791774819
BaseRepresentation
bin101101110000000000100011…
…111001000000100010110000
3222101102121100120121210121220
4231300000203321000202300
5202333121044341430000
61551535055112345040
760245013565563021
oct5560004371004260
9871377316553556
10201211230030000
1159126226871173
121a6981019a5180
1388371a3341048
1437989657bac48
15183de74b061a0
hexb70023e408b0

201211230030000 has 200 divisors, whose sum is σ = 649708925342400. Its totient is φ = 53642099232000.

The previous prime is 201211230029977. The next prime is 201211230030023. The reversal of 201211230030000 is 30032112102.

It is an interprime number because it is at equal distance from previous prime (201211230029977) and next prime (201211230030023).

It is a tau number, because it is divible by the number of its divisors (200).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 112482591 + ... + 114257409.

It is an arithmetic number, because the mean of its divisors is an integer number (3248544626712).

Almost surely, 2201211230030000 is an apocalyptic number.

201211230030000 is a gapful number since it is divisible by the number (20) 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 201211230030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324854462671200).

201211230030000 is an abundant number, since it is smaller than the sum of its proper divisors (448497695312400).

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

201211230030000 is a wasteful number, since it uses less digits than its factorization.

201211230030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1778629 (or 1778608 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 201211230030000 its reverse (30032112102), we get a palindrome (201241262142102).

The spelling of 201211230030000 in words is "two hundred one trillion, two hundred eleven billion, two hundred thirty million, thirty thousand".