Search a number
-
+
101122222221000 = 2332531737475371101
BaseRepresentation
bin10110111111100001011010…
…001000100110011011001000
3111021001012010112102002101200
4112333201122020212123020
5101223241302342033000
6555022524011344200
730204560635502151
oct2677413210463310
9437035115362350
10101122222221000
112a24776a213772
12b4121b7752060
134456a27b0a7c6
141ad84ad784928
15ba564b147500
hex5bf85a2266c8

101122222221000 has 3072 divisors, whose sum is σ = 396080057917440. Its totient is φ = 23146905600000.

The previous prime is 101122222220993. The next prime is 101122222221001. The reversal of 101122222221000 is 122222221101.

It is a happy number.

101122222221000 is a `hidden beast` number, since 1 + 0 + 11 + 222 + 222 + 210 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (101122222221001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 1001210120950 + ... + 1001210121050.

It is an arithmetic number, because the mean of its divisors is an integer number (128932310520).

Almost surely, 2101122222221000 is an apocalyptic number.

101122222221000 is a gapful number since it is divisible by the number (10) 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 101122222221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198040028958720).

101122222221000 is an abundant number, since it is smaller than the sum of its proper divisors (294957835696440).

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

101122222221000 is a wasteful number, since it uses less digits than its factorization.

101122222221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 101122222221000 its reverse (122222221101), we get a palindrome (101244444442101).

The spelling of 101122222221000 in words is "one hundred one trillion, one hundred twenty-two billion, two hundred twenty-two million, two hundred twenty-one thousand".