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11131020120 = 233511291012879
BaseRepresentation
bin10100101110111010…
…11110001101011000
31001201201222102001110
422113131132031120
5140244020120440
65040304220320
7542560052463
oct122735361530
931651872043
1011131020120
1147a2197190
1221a790a6a0
13108510c54c
147784582da
15452320080
hex29775e358

11131020120 has 256 divisors, whose sum is σ = 38071296000. Its totient is φ = 2578688000.

The previous prime is 11131020107. The next prime is 11131020127. The reversal of 11131020120 is 2102013111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11131020096 and 11131020105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11131020127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3864841 + ... + 3867719.

It is an arithmetic number, because the mean of its divisors is an integer number (148716000).

Almost surely, 211131020120 is an apocalyptic number.

11131020120 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 11131020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19035648000).

11131020120 is an abundant number, since it is smaller than the sum of its proper divisors (26940275880).

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

11131020120 is a wasteful number, since it uses less digits than its factorization.

11131020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3034 (or 3030 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 11131020120 its reverse (2102013111), we get a palindrome (13233033231).

It can be divided in two parts, 11 and 131020120, that added together give a palindrome (131020131).

The spelling of 11131020120 in words is "eleven billion, one hundred thirty-one million, twenty thousand, one hundred twenty".