Search a number
-
+
11220002100000 = 25325537347971
BaseRepresentation
bin1010001101000101110000…
…1111010101001100100000
31110201121210020102022201100
42203101130033111030200
52432312031014200000
635510221532034400
72235422053161561
oct243213417251440
943647706368640
1011220002100000
113636415753971
121312618002a00
136350706a4955
142ab09dd28168
15146cd0b61a00
hexa345c3d5320

11220002100000 has 864 divisors, whose sum is σ = 41119255824192. Its totient is φ = 2899756800000.

The previous prime is 11220002099989. The next prime is 11220002100007. The reversal of 11220002100000 is 120002211.

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

It is not an unprimeable number, because it can be changed into a prime (11220002100007) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 11555099515 + ... + 11555100485.

It is an arithmetic number, because the mean of its divisors is an integer number (47591731278).

Almost surely, 211220002100000 is an apocalyptic number.

11220002100000 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 11220002100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20559627912096).

11220002100000 is an abundant number, since it is smaller than the sum of its proper divisors (29899253724192).

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

11220002100000 is an equidigital number, since it uses as much as digits as its factorization.

11220002100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396 (or 1365 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 11220002100000 its reverse (120002211), we get a palindrome (11220122102211).

The spelling of 11220002100000 in words is "eleven trillion, two hundred twenty billion, two million, one hundred thousand".