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1131020320 = 25522331699
BaseRepresentation
bin100001101101010…
…0000000000100000
32220211012210012111
41003122200000200
54304020122240
6304121405104
740012341223
oct10332400040
92824183174
101131020320
11530482341
12276939794
131504221c1
14aa2d55ba
15694621ea
hex436a0020

1131020320 has 48 divisors (see below), whose sum is σ = 2684102400. Its totient is φ = 450365184.

The previous prime is 1131020243. The next prime is 1131020339. The reversal of 1131020320 is 230201311.

It is a self number, because there is not a number n which added to its sum of digits gives 1131020320.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19831 + ... + 51529.

It is an arithmetic number, because the mean of its divisors is an integer number (55918800).

Almost surely, 21131020320 is an apocalyptic number.

1131020320 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 1131020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342051200).

1131020320 is an abundant number, since it is smaller than the sum of its proper divisors (1553082080).

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

1131020320 is a wasteful number, since it uses less digits than its factorization.

1131020320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31937 (or 31929 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1131020320 is about 33630.6455483685. The cubic root of 1131020320 is about 1041.8938372026.

Adding to 1131020320 its reverse (230201311), we get a palindrome (1361221631).

The spelling of 1131020320 in words is "one billion, one hundred thirty-one million, twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 223 446 892 1115 1784 2230 3568 4460 7136 8920 17840 31699 35680 63398 126796 158495 253592 316990 507184 633980 1014368 1267960 2535920 5071840 7068877 14137754 28275508 35344385 56551016 70688770 113102032 141377540 226204064 282755080 565510160 1131020320