Search a number
-
+
1022001112332 = 22321921391493797
BaseRepresentation
bin11101101111101000000…
…00110110010100001100
310121200222000101201210100
432313310000312110030
5113221024241043312
62101300102411100
7133560066056454
oct16676400662414
93550860351710
101022001112332
11364478a91262
121460a2130a90
13754b3419bc5
14376723d6d64
151b8b80145dc
hexedf403650c

1022001112332 has 216 divisors, whose sum is σ = 2765289618000. Its totient is φ = 318181084416.

The previous prime is 1022001112289. The next prime is 1022001112367. The reversal of 1022001112332 is 2332111002201.

1022001112332 is a `hidden beast` number, since 1 + 0 + 220 + 0 + 1 + 112 + 332 = 666.

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

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 71 ways as a sum of consecutive naturals, for example, 269158258 + ... + 269162054.

It is an arithmetic number, because the mean of its divisors is an integer number (12802266750).

Almost surely, 21022001112332 is an apocalyptic number.

1022001112332 is a gapful number since it is divisible by the number (12) 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 1022001112332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1382644809000).

1022001112332 is an abundant number, since it is smaller than the sum of its proper divisors (1743288505668).

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

1022001112332 is a wasteful number, since it uses less digits than its factorization.

1022001112332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4133 (or 4109 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1022001112332 its reverse (2332111002201), we get a palindrome (3354112114533).

The spelling of 1022001112332 in words is "one trillion, twenty-two billion, one million, one hundred twelve thousand, three hundred thirty-two".