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1131020000 = 2554115397
BaseRepresentation
bin100001101101001…
…1111111011100000
32220211012202202122
41003122133323200
54304020120000
6304121403412
740012340255
oct10332377340
92824182678
101131020000
11530482080
12276939568
13150422006
14aa2d542c
1569462085
hex4369fee0

1131020000 has 240 divisors, whose sum is σ = 3124587312. Its totient is φ = 399360000.

The previous prime is 1131019991. The next prime is 1131020003. The reversal of 1131020000 is 201311.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 1131020000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131020003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11659952 + ... + 11660048.

Almost surely, 21131020000 is an apocalyptic number.

1131020000 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 1131020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562293656).

1131020000 is an abundant number, since it is smaller than the sum of its proper divisors (1993567312).

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

1131020000 is an equidigital number, since it uses as much as digits as its factorization.

1131020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 1131020000 is about 33630.6407908027. The cubic root of 1131020000 is about 1041.8937389415.

Adding to 1131020000 its reverse (201311), we get a palindrome (1131221311).

The spelling of 1131020000 in words is "one billion, one hundred thirty-one million, twenty thousand".