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3101116928 = 29713101659
BaseRepresentation
bin1011100011010111…
…0100101000000000
322000010022001200112
42320311310220000
522322341220203
61231415410452
7136564026140
oct27065645000
98003261615
103101116928
111351555058
12726683a28
133a5629540
14215c08920
151323b96d8
hexb8d74a00

3101116928 has 160 divisors (see below), whose sum is σ = 7713256320. Its totient is φ = 1212825600.

The previous prime is 3101116919. The next prime is 3101116951. The reversal of 3101116928 is 8296111013.

It is a super-2 number, since 2×31011169282 = 19233852402256314368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 3101116894 and 3101116903.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4705463 + ... + 4706121.

It is an arithmetic number, because the mean of its divisors is an integer number (48207852).

Almost surely, 23101116928 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 3101116928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3856628160).

3101116928 is an abundant number, since it is smaller than the sum of its proper divisors (4612139392).

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

3101116928 is a wasteful number, since it uses less digits than its factorization.

3101116928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 32.

The square root of 3101116928 is about 55687.6730345235. The cubic root of 3101116928 is about 1458.2748322641.

The spelling of 3101116928 in words is "three billion, one hundred one million, one hundred sixteen thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 101 104 112 128 182 202 208 224 256 364 404 416 448 512 659 707 728 808 832 896 1313 1318 1414 1456 1616 1664 1792 2626 2636 2828 2912 3232 3328 3584 4613 5252 5272 5656 5824 6464 6656 8567 9191 9226 10504 10544 11312 11648 12928 17134 18382 18452 21008 21088 22624 23296 25856 34268 36764 36904 42016 42176 45248 46592 51712 59969 66559 68536 73528 73808 84032 84352 90496 119938 133118 137072 147056 147616 168064 168704 180992 239876 266236 274144 294112 295232 336128 337408 361984 465913 479752 532472 548288 588224 590464 672256 865267 931826 959504 1064944 1096576 1176448 1180928 1730534 1863652 1919008 2129888 2193152 2352896 2361856 3461068 3727304 3838016 4259776 4386304 4705792 6056869 6922136 7454608 7676032 8519552 12113738 13844272 14909216 15352064 17039104 24227476 27688544 29818432 30704128 34078208 48454952 55377088 59636864 96909904 110754176 119273728 193819808 221508352 238547456 387639616 443016704 775279232 1550558464 3101116928