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11019316224 = 210371743701
BaseRepresentation
bin10100100001100110…
…10110110000000000
31001102221210021010010
422100303112300000
5140031421104344
65021234104520
7540032433240
oct122063266000
931387707103
1011019316224
114745131414
12217641b140
131067c2b777
1476769bb20
154476078b9
hex290cd6c00

11019316224 has 352 divisors, whose sum is σ = 36419175936. Its totient is φ = 2890137600.

The previous prime is 11019316193. The next prime is 11019316277. The reversal of 11019316224 is 42261391011.

It is a junction number, because it is equal to n+sod(n) for n = 11019316191 and 11019316200.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15719074 + ... + 15719774.

It is an arithmetic number, because the mean of its divisors is an integer number (103463568).

Almost surely, 211019316224 is an apocalyptic number.

11019316224 is a gapful number since it is divisible by the number (14) 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 11019316224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18209587968).

11019316224 is an abundant number, since it is smaller than the sum of its proper divisors (25399859712).

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

11019316224 is a wasteful number, since it uses less digits than its factorization.

11019316224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The spelling of 11019316224 in words is "eleven billion, nineteen million, three hundred sixteen thousand, two hundred twenty-four".