Search a number
-
+
11021301000000 = 26325623371439
BaseRepresentation
bin1010000001100001100010…
…1110110010011101000000
31110000121220102020121001100
42200120120232302131000
52421033111024000000
635235041001534400
72215156053534204
oct240303056623500
943017812217040
1011021301000000
11356a1200a9545
1212a00034a4400
1361c3c54c6b75
142a161055cb04
15141a51761a00
hexa0618bb2740

11021301000000 has 1176 divisors, whose sum is σ = 42347607943680. Its totient is φ = 2733350400000.

The previous prime is 11021300999923. The next prime is 11021301000133. The reversal of 11021301000000 is 10312011.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

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 167 ways as a sum of consecutive naturals, for example, 7658999281 + ... + 7659000719.

Almost surely, 211021301000000 is an apocalyptic number.

11021301000000 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 11021301000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21173803971840).

11021301000000 is an abundant number, since it is smaller than the sum of its proper divisors (31326306943680).

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

11021301000000 is an equidigital number, since it uses as much as digits as its factorization.

11021301000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1547 (or 1509 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 11021301000000 its reverse (10312011), we get a palindrome (11021311312011).

The spelling of 11021301000000 in words is "eleven trillion, twenty-one billion, three hundred one million", and thus it is an aban number.