Search a number
-
+
20010222111000 = 233531123291019001
BaseRepresentation
bin1001000110010111111100…
…01011100100100100011000
32121211221212210011112210110
410203023332023210210120
510110321413330023000
6110320322533244320
74133455646361522
oct443137613444430
977757783145713
1020010222111000
116415318797360
1222b2146a936a0
13b21c56cca724
144d26ddabaa12
1524a7a24b9850
hex1232fe2e4918

20010222111000 has 1024 divisors, whose sum is σ = 74255524761600. Its totient is φ = 4435200000000.

The previous prime is 20010222110951. The next prime is 20010222111001. The reversal of 20010222111000 is 11122201002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20010222111001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2223106500 + ... + 2223115500.

It is an arithmetic number, because the mean of its divisors is an integer number (72515160900).

Almost surely, 220010222111000 is an apocalyptic number.

20010222111000 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 20010222111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37127762380800).

20010222111000 is an abundant number, since it is smaller than the sum of its proper divisors (54245302650600).

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

20010222111000 is a wasteful number, since it uses less digits than its factorization.

20010222111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9189 (or 9175 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20010222111000 its reverse (11122201002), we get a palindrome (20021344312002).

The spelling of 20010222111000 in words is "twenty trillion, ten billion, two hundred twenty-two million, one hundred eleven thousand".