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BaseRepresentation
bin100010100111000…
…1000000101001100
32222221020201200000
41011032020011030
54334300043040
6311123204300
740531102503
oct10516100514
92887221600
101161331020
115465a5203
12284b16690
131567a5725
14b034583a
156be4d130
hex4538814c

1161331020 has 144 divisors (see below), whose sum is σ = 3698472960. Its totient is φ = 305850816.

The previous prime is 1161331001. The next prime is 1161331049. The reversal of 1161331020 is 201331611.

1161331020 is a `hidden beast` number, since 1 + 1 + 613 + 31 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1161330984 and 1161331002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 401941 + ... + 404819.

It is an arithmetic number, because the mean of its divisors is an integer number (25683840).

Almost surely, 21161331020 is an apocalyptic number.

1161331020 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 1161331020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1849236480).

1161331020 is an abundant number, since it is smaller than the sum of its proper divisors (2537141940).

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

1161331020 is a wasteful number, since it uses less digits than its factorization.

1161331020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2986 (or 2972 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 1161331020 is about 34078.3071762668. The cubic root of 1161331020 is about 1051.1192962062.

Adding to 1161331020 its reverse (201331611), we get a palindrome (1362662631).

The spelling of 1161331020 in words is "one billion, one hundred sixty-one million, three hundred thirty-one thousand, twenty".