Search a number
-
+
22033333113000 = 233531173101137661
BaseRepresentation
bin1010000001010000010001…
…11111100101000010101000
32220000100212212102221110120
411000220020333211002220
510341443231234104000
6114505550135243240
74432566351223266
oct500501077450250
986010785387416
1022033333113000
117025314152aa0
12257a25a819520
13c3a9716173c1
145625c1ab1436
1528320e3d16a0
hex140a08fe50a8

22033333113000 has 1024 divisors, whose sum is σ = 77450827484160. Its totient is φ = 5170176000000.

The previous prime is 22033333112941. The next prime is 22033333113059. The reversal of 22033333113000 is 31133333022.

It is an interprime number because it is at equal distance from previous prime (22033333112941) and next prime (22033333113059).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 255 ways as a sum of consecutive naturals, for example, 33333332670 + ... + 33333333330.

It is an arithmetic number, because the mean of its divisors is an integer number (75635573715).

Almost surely, 222033333113000 is an apocalyptic number.

22033333113000 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 22033333113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38725413742080).

22033333113000 is an abundant number, since it is smaller than the sum of its proper divisors (55417494371160).

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

22033333113000 is a wasteful number, since it uses less digits than its factorization.

22033333113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 22033333113000 its reverse (31133333022), we get a palindrome (22064466446022).

It can be divided in two parts, 220333 and 33113000, that added together give a palindrome (33333333).

The spelling of 22033333113000 in words is "twenty-two trillion, thirty-three billion, three hundred thirty-three million, one hundred thirteen thousand".