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11062101120 = 2735761103131
BaseRepresentation
bin10100100110101101…
…00100010010000000
31001112221021221221220
422103112210102000
5140123344213440
65025403115040
7541062210450
oct122326442200
931487257856
1011062101120
1147672a4334
122188812a80
131073a5ba85
1476d237d60
1544b2598d0
hex2935a4480

11062101120 has 512 divisors, whose sum is σ = 41671618560. Its totient is φ = 2444083200.

The previous prime is 11062101109. The next prime is 11062101133. The reversal of 11062101120 is 2110126011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11062101120.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 84443455 + ... + 84443585.

It is an arithmetic number, because the mean of its divisors is an integer number (81389880).

Almost surely, 211062101120 is an apocalyptic number.

11062101120 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 11062101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20835809280).

11062101120 is an abundant number, since it is smaller than the sum of its proper divisors (30609517440).

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

11062101120 is a wasteful number, since it uses less digits than its factorization.

11062101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 11062101120 its reverse (2110126011), we get a palindrome (13172227131).

The spelling of 11062101120 in words is "eleven billion, sixty-two million, one hundred one thousand, one hundred twenty".