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3000132120 = 233517286509
BaseRepresentation
bin1011001011010010…
…0110001000011000
321202002021111120110
42302310212020120
522121013211440
61213411124320
7134226462606
oct26264461030
97662244513
103000132120
1112aa550737
126b88a36a0
1338a72c70b
1420663c876
151285bd080
hexb2d26218

3000132120 has 96 divisors (see below), whose sum is σ = 9561085200. Its totient is φ = 752965632.

The previous prime is 3000132119. The next prime is 3000132127. The reversal of 3000132120 is 212310003.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 3000132096 and 3000132105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3000132127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8575 + ... + 77934.

Almost surely, 23000132120 is an apocalyptic number.

3000132120 is a gapful number since it is divisible by the number (30) 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 3000132120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4780542600).

3000132120 is an abundant number, since it is smaller than the sum of its proper divisors (6560953080).

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

3000132120 is a wasteful number, since it uses less digits than its factorization.

3000132120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86557 (or 86536 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 3000132120 is about 54773.4618223095. The cubic root of 3000132120 is about 1442.2707422203.

Adding to 3000132120 its reverse (212310003), we get a palindrome (3212442123).

The spelling of 3000132120 in words is "three billion, one hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 289 340 408 510 578 680 867 1020 1156 1445 1734 2040 2312 2890 3468 4335 5780 6936 8670 11560 17340 34680 86509 173018 259527 346036 432545 519054 692072 865090 1038108 1297635 1470653 1730180 2076216 2595270 2941306 3460360 4411959 5190540 5882612 7353265 8823918 10381080 11765224 14706530 17647836 22059795 25001101 29413060 35295672 44119590 50002202 58826120 75003303 88239180 100004404 125005505 150006606 176478360 200008808 250011010 300013212 375016515 500022020 600026424 750033030 1000044040 1500066060 3000132120