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1132020120 = 23357111011213
BaseRepresentation
bin100001101111001…
…0100000110011000
32220220002120200010
41003132110012120
54304244120440
6304155041520
740024004130
oct10336240630
92826076603
101132020120
11530aa5520
122771402a0
131506b22ba
14aa4b5ac0
15695ad580
hex43794198

1132020120 has 256 divisors, whose sum is σ = 4279495680. Its totient is φ = 232704000.

The previous prime is 1132020119. The next prime is 1132020121. The reversal of 1132020120 is 210202311.

It is an interprime number because it is at equal distance from previous prime (1132020119) and next prime (1132020121).

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 = 1132020096 and 1132020105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132020121) 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 63 ways as a sum of consecutive naturals, for example, 932634 + ... + 933846.

It is an arithmetic number, because the mean of its divisors is an integer number (16716780).

Almost surely, 21132020120 is an apocalyptic number.

1132020120 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 1132020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2139747840).

1132020120 is an abundant number, since it is smaller than the sum of its proper divisors (3147475560).

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

1132020120 is a wasteful number, since it uses less digits than its factorization.

1132020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1132020120 is about 33645.5066836569. The cubic root of 1132020120 is about 1042.2007514250.

Adding to 1132020120 its reverse (210202311), we get a palindrome (1342222431).

The spelling of 1132020120 in words is "one billion, one hundred thirty-two million, twenty thousand, one hundred twenty".