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1231055120 = 24537894673
BaseRepresentation
bin100100101100000…
…0110100100010000
310011210110002011002
41021120012210100
510010122230440
6322053441132
742335536661
oct11130064420
93153402132
101231055120
11581997a29
122a43401a8
131680787a9
14b96d5368
1573122115
hex49606910

1231055120 has 80 divisors (see below), whose sum is σ = 2973224880. Its totient is φ = 473628672.

The previous prime is 1231055117. The next prime is 1231055123. The reversal of 1231055120 is 215501321.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1231055117) and next prime (1231055123).

It can be written as a sum of positive squares in 8 ways, for example, as 94556176 + 1136498944 = 9724^2 + 33712^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1231055092 and 1231055101.

It is not an unprimeable number, because it can be changed into a prime (1231055123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261104 + ... + 265776.

It is an arithmetic number, because the mean of its divisors is an integer number (37165311).

Almost surely, 21231055120 is an apocalyptic number.

1231055120 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 1231055120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1486612440).

1231055120 is an abundant number, since it is smaller than the sum of its proper divisors (1742169760).

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

1231055120 is a wasteful number, since it uses less digits than its factorization.

1231055120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4812 (or 4806 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 1231055120 is about 35086.3950841348. The cubic root of 1231055120 is about 1071.7475504526.

Adding to 1231055120 its reverse (215501321), we get a palindrome (1446556441).

The spelling of 1231055120 in words is "one billion, two hundred thirty-one million, fifty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 89 148 178 185 296 356 370 445 592 712 740 890 1424 1480 1780 2960 3293 3560 4673 6586 7120 9346 13172 16465 18692 23365 26344 32930 37384 46730 52688 65860 74768 93460 131720 172901 186920 263440 345802 373840 415897 691604 831794 864505 1383208 1663588 1729010 2079485 2766416 3327176 3458020 4158970 6654352 6916040 8317940 13832080 15388189 16635880 30776378 33271760 61552756 76940945 123105512 153881890 246211024 307763780 615527560 1231055120