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3120131140 = 22571131671181
BaseRepresentation
bin1011100111111001…
…0110110001000100
322001110002002021121
42321332112301010
522342223144030
61233335123324
7140214451150
oct27176266104
98043062247
103120131140
111361261785
12730b13544
133a9556059
14218558060
15133dc347a
hexb9f96c44

3120131140 has 96 divisors (see below), whose sum is σ = 7606255104. Its totient is φ = 1053050880.

The previous prime is 3120131123. The next prime is 3120131173. The reversal of 3120131140 is 411310213.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2641350 + ... + 2642530.

It is an arithmetic number, because the mean of its divisors is an integer number (79231824).

Almost surely, 23120131140 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 3120131140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3803127552).

3120131140 is an abundant number, since it is smaller than the sum of its proper divisors (4486123964).

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

3120131140 is a wasteful number, since it uses less digits than its factorization.

3120131140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1477 (or 1475 counting only the distinct ones).

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

The square root of 3120131140 is about 55858.1340540480. The cubic root of 3120131140 is about 1461.2491873392.

Adding to 3120131140 its reverse (411310213), we get a palindrome (3531441353).

The spelling of 3120131140 in words is "three billion, one hundred twenty million, one hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 113 140 167 226 334 452 565 668 791 835 1130 1169 1181 1582 1670 2260 2338 2362 3164 3340 3955 4676 4724 5845 5905 7910 8267 11690 11810 15820 16534 18871 23380 23620 33068 37742 41335 75484 82670 94355 132097 133453 165340 188710 197227 264194 266906 377420 394454 528388 533812 660485 667265 788908 934171 986135 1320970 1334530 1380589 1868342 1972270 2641940 2669060 2761178 3736684 3944540 4670855 5522356 6902945 9341710 13805890 18683420 22286651 27611780 44573302 89146604 111433255 156006557 222866510 312013114 445733020 624026228 780032785 1560065570 3120131140