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21222101201004 = 2232112109214320857
BaseRepresentation
bin1001101001101001001111…
…10011011011000001101100
32210010210221201110221210100
410310310213303123001230
510240200330401413004
6113045144304111100
74320150310600164
oct464644763330154
983123851427710
1021222101201004
116842273961600
122468b9a905490
13bac30a694a72
14535225b4b5a4
1526c07eee0739
hex134d27cdb06c

21222101201004 has 216 divisors, whose sum is σ = 59536481164160. Its totient is φ = 6368661573120.

The previous prime is 21222101201003. The next prime is 21222101201017. The reversal of 21222101201004 is 40010210122212.

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 (21222101201003) 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 71 ways as a sum of consecutive naturals, for example, 1017494544 + ... + 1017515400.

Almost surely, 221222101201004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21222101201004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29768240582080).

21222101201004 is an abundant number, since it is smaller than the sum of its proper divisors (38314379963156).

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

21222101201004 is a wasteful number, since it uses less digits than its factorization.

21222101201004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23141 (or 23125 counting only the distinct ones).

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

Adding to 21222101201004 its reverse (40010210122212), we get a palindrome (61232311323216).

The spelling of 21222101201004 in words is "twenty-one trillion, two hundred twenty-two billion, one hundred one million, two hundred one thousand, four".