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3031105140 = 22325723104593
BaseRepresentation
bin1011010010101010…
…1111111001110100
321211020120002120100
42310222233321310
522201430331030
61220435034100
7135053653140
oct26452577164
97736502510
103031105140
111315a86178
1270713b930
13393c8554b
1420a7c2220
1512b18a360
hexb4aafe74

3031105140 has 144 divisors (see below), whose sum is σ = 10964798208. Its totient is φ = 662694912.

The previous prime is 3031105123. The next prime is 3031105193. The reversal of 3031105140 is 415011303.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23317 + ... + 81276.

It is an arithmetic number, because the mean of its divisors is an integer number (76144432).

Almost surely, 23031105140 is an apocalyptic number.

3031105140 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 3031105140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5482399104).

3031105140 is an abundant number, since it is smaller than the sum of its proper divisors (7933693068).

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

3031105140 is a wasteful number, since it uses less digits than its factorization.

3031105140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104638 (or 104633 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 3031105140 is about 55055.4732973934. The cubic root of 3031105140 is about 1447.2170386607.

Adding to 3031105140 its reverse (415011303), we get a palindrome (3446116443).

The spelling of 3031105140 in words is "three billion, thirty-one million, one hundred five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 23 28 30 35 36 42 45 46 60 63 69 70 84 90 92 105 115 126 138 140 161 180 207 210 230 252 276 315 322 345 414 420 460 483 630 644 690 805 828 966 1035 1260 1380 1449 1610 1932 2070 2415 2898 3220 4140 4830 5796 7245 9660 14490 28980 104593 209186 313779 418372 522965 627558 732151 941337 1045930 1255116 1464302 1568895 1882674 2091860 2196453 2405639 2928604 3137790 3660755 3765348 4392906 4706685 4811278 6275580 6589359 7216917 7321510 8785812 9413370 9622556 10982265 12028195 13178718 14433834 14643020 16839473 18826740 21650751 21964530 24056390 26357436 28867668 32946795 33678946 36084585 43301502 43929060 48112780 50518419 65893590 67357892 72169170 84197365 86603004 101036838 108253755 131787180 144338340 151555257 168394730 202073676 216507510 252592095 303110514 336789460 433015020 505184190 606221028 757776285 1010368380 1515552570 3031105140