Search a number
-
+
22110110001210 = 235711101495119141
BaseRepresentation
bin1010000011011111010010…
…10000001010100000111010
32220021201001120200222021210
411001233221100022200322
510344223001130014320
6115005124434343550
74441255065055440
oct501575120124072
986251046628253
1022110110001210
117054932760520
12259110712abb6
13c44c88a7aa7a
145661c6766b90
152852049390e0
hex141be940a83a

22110110001210 has 256 divisors, whose sum is σ = 66830059708416. Its totient is φ = 4547664000000.

The previous prime is 22110110001157. The next prime is 22110110001251. The reversal of 22110110001210 is 1210001101122.

It is a super-3 number, since 3×221101100012103 (a number of 41 digits) contains 333 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1155108240 + ... + 1155127380.

It is an arithmetic number, because the mean of its divisors is an integer number (261054920736).

Almost surely, 222110110001210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22110110001210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33415029854208).

22110110001210 is an abundant number, since it is smaller than the sum of its proper divisors (44719949707206).

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

22110110001210 is a wasteful number, since it uses less digits than its factorization.

22110110001210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24221.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 22110110001210 its reverse (1210001101122), we get a palindrome (23320111102332).

The spelling of 22110110001210 in words is "twenty-two trillion, one hundred ten billion, one hundred ten million, one thousand, two hundred ten".