Search a number
-
+
11020802229360 = 243257112172346219
BaseRepresentation
bin1010000001011111101100…
…0000001000010001110000
31110000120121122201102100200
42200113323000020101300
52421031100332314420
635234515303315200
72215140516210330
oct240277300102160
943016548642320
1011020802229360
113569994601800
12129baa444bb00
1361c346082501
142a15a42070c0
15141a22a8cb90
hexa05fb008470

11020802229360 has 1440 divisors, whose sum is σ = 51370242094080. Its totient is φ = 2061574225920.

The previous prime is 11020802229329. The next prime is 11020802229473. The reversal of 11020802229360 is 6392220802011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 238424331 + ... + 238470549.

It is an arithmetic number, because the mean of its divisors is an integer number (35673779232).

Almost surely, 211020802229360 is an apocalyptic number.

11020802229360 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 11020802229360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25685121047040).

11020802229360 is an abundant number, since it is smaller than the sum of its proper divisors (40349439864720).

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

11020802229360 is a wasteful number, since it uses less digits than its factorization.

11020802229360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46307 (or 46287 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 11020802229360 in words is "eleven trillion, twenty billion, eight hundred two million, two hundred twenty-nine thousand, three hundred sixty".