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1232131120 = 245112948281
BaseRepresentation
bin100100101110000…
…1101010000110000
310011212110202010221
41021130031100300
510010411143440
6322132502424
742350641003
oct11134152060
93155422127
101232131120
11582562390
122a477aa14
1316836448c
14b98d553a
1573285d4a
hex4970d430

1232131120 has 80 divisors (see below), whose sum is σ = 3232962720. Its totient is φ = 432588800.

The previous prime is 1232131081. The next prime is 1232131127. The reversal of 1232131120 is 211312321.

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 (16).

It is a junction number, because it is equal to n+sod(n) for n = 1232131094 and 1232131103.

It is not an unprimeable number, because it can be changed into a prime (1232131127) 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, 1380 + ... + 49660.

It is an arithmetic number, because the mean of its divisors is an integer number (40412034).

Almost surely, 21232131120 is an apocalyptic number.

1232131120 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 1232131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1616481360).

1232131120 is an abundant number, since it is smaller than the sum of its proper divisors (2000831600).

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

1232131120 is a wasteful number, since it uses less digits than its factorization.

1232131120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48334 (or 48328 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1232131120 is about 35101.7253137221. The cubic root of 1232131120 is about 1072.0597120893.

Adding to 1232131120 its reverse (211312321), we get a palindrome (1443443441).

The spelling of 1232131120 in words is "one billion, two hundred thirty-two million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 40 44 55 58 80 88 110 116 145 176 220 232 290 319 440 464 580 638 880 1160 1276 1595 2320 2552 3190 5104 6380 12760 25520 48281 96562 193124 241405 386248 482810 531091 772496 965620 1062182 1400149 1931240 2124364 2655455 2800298 3862480 4248728 5310910 5600596 7000745 8497456 10621820 11201192 14001490 15401639 21243640 22402384 28002980 30803278 42487280 56005960 61606556 77008195 112011920 123213112 154016390 246426224 308032780 616065560 1232131120