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11110021120 = 211511531861
BaseRepresentation
bin10100101100011010…
…10111100000000000
31001200021110112211201
422112031113200000
5140223131133440
65034234150544
7542213423062
oct122615274000
931607415751
1011110021120
114791354340
1221a0882454
1310809694c3
1477574d732
1545057319a
hex296357800

11110021120 has 192 divisors, whose sum is σ = 29645572320. Its totient is φ = 3961651200.

The previous prime is 11110021099. The next prime is 11110021127. The reversal of 11110021120 is 2112001111.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 11110021097 and 11110021106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11110021127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5968990 + ... + 5970850.

Almost surely, 211110021120 is an apocalyptic number.

11110021120 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 11110021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14822786160).

11110021120 is an abundant number, since it is smaller than the sum of its proper divisors (18535551200).

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

11110021120 is a wasteful number, since it uses less digits than its factorization.

11110021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1952 (or 1932 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11110021120 its reverse (2112001111), we get a palindrome (13222022231).

The spelling of 11110021120 in words is "eleven billion, one hundred ten million, twenty-one thousand, one hundred twenty".