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3301051120 = 2453110312923
BaseRepresentation
bin1100010011000010…
…0000101011110000
322112001111202211121
43010300200223300
523230032113440
61303320552024
7144542320513
oct30460405360
98461452747
103301051120
1114443a2624
12781622614
13407b8c8b3
142345b0d7a
15144c0e34a
hexc4c20af0

3301051120 has 80 divisors (see below), whose sum is σ = 8000059392. Its totient is φ = 1265322240.

The previous prime is 3301051087. The next prime is 3301051129. The reversal of 3301051120 is 211501033.

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 = 3301051094 and 3301051103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3301051129) 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, 248979 + ... + 261901.

Almost surely, 23301051120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3301051120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4000029696).

3301051120 is an abundant number, since it is smaller than the sum of its proper divisors (4699008272).

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

3301051120 is a wasteful number, since it uses less digits than its factorization.

3301051120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13070 (or 13064 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 3301051120 is about 57454.7745622590. The cubic root of 3301051120 is about 1488.9636082235.

Adding to 3301051120 its reverse (211501033), we get a palindrome (3512552153).

The spelling of 3301051120 in words is "three billion, three hundred one million, fifty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 103 124 155 206 248 310 412 496 515 620 824 1030 1240 1648 2060 2480 3193 4120 6386 8240 12772 12923 15965 25544 25846 31930 51088 51692 63860 64615 103384 127720 129230 206768 255440 258460 400613 516920 801226 1033840 1331069 1602452 2003065 2662138 3204904 4006130 5324276 6409808 6655345 8012260 10648552 13310690 16024520 21297104 26621380 32049040 41263139 53242760 82526278 106485520 165052556 206315695 330105112 412631390 660210224 825262780 1650525560 3301051120