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20011211101000 = 235376176161583
BaseRepresentation
bin1001000110011001110010…
…01000010001001101001000
32121212001102201010110000201
410203030321020101031020
510110330430020213000
6110321005022541544
74133522315555350
oct443147110211510
977761381113021
1020011211101000
116415785a80169
1222b23821378b4
13b22083b81402
144d279519db60
1524a80e22396a
hex123339211348

20011211101000 has 256 divisors, whose sum is σ = 54465362565120. Its totient is φ = 6739534080000.

The previous prime is 20011211100997. The next prime is 20011211101001. The reversal of 20011211101000 is 10111211002.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (20011211101001) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 324916209 + ... + 324977791.

It is an arithmetic number, because the mean of its divisors is an integer number (212755322520).

Almost surely, 220011211101000 is an apocalyptic number.

20011211101000 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 20011211101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27232681282560).

20011211101000 is an abundant number, since it is smaller than the sum of its proper divisors (34454151464120).

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

20011211101000 is a wasteful number, since it uses less digits than its factorization.

20011211101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62433 (or 62419 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 20011211101000 its reverse (10111211002), we get a palindrome (20021322312002).

The spelling of 20011211101000 in words is "twenty trillion, eleven billion, two hundred eleven million, one hundred one thousand".