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11210233120 = 2552341191389
BaseRepresentation
bin10100111000010111…
…01001010100100000
31001221021000211212021
422130023221110200
5140424304424440
65052214111224
7544541260252
oct123413512440
931837024767
1011210233120
114832980079
12220a34b514
131098655648
14784b97cd2
1545926a84a
hex29c2e9520

11210233120 has 192 divisors, whose sum is σ = 28531077120. Its totient is φ = 4151910400.

The previous prime is 11210233091. The next prime is 11210233129. The reversal of 11210233120 is 2133201211.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 11210233094 and 11210233103.

It is not an unprimeable number, because it can be changed into a prime (11210233129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28817886 + ... + 28818274.

It is an arithmetic number, because the mean of its divisors is an integer number (148599360).

Almost surely, 211210233120 is an apocalyptic number.

11210233120 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 11210233120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14265538560).

11210233120 is an abundant number, since it is smaller than the sum of its proper divisors (17320844000).

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

11210233120 is a wasteful number, since it uses less digits than its factorization.

11210233120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 11210233120 its reverse (2133201211), we get a palindrome (13343434331).

The spelling of 11210233120 in words is "eleven billion, two hundred ten million, two hundred thirty-three thousand, one hundred twenty".