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1031112240 = 243531713553
BaseRepresentation
bin111101011101011…
…000011000110000
32122212012221002020
4331131120120300
54102431042430
6250152151440
734360211064
oct7535303060
92585187066
101031112240
1148a043984
12249398580
131358114b2
149ad29aa4
15607c9b10
hex3d758630

1031112240 has 80 divisors (see below), whose sum is σ = 3206767968. Its totient is φ = 274075648.

The previous prime is 1031112227. The next prime is 1031112253. The reversal of 1031112240 is 422111301.

1031112240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1031112227) and next prime (1031112253).

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 (15).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69304 + ... + 82856.

Almost surely, 21031112240 is an apocalyptic number.

1031112240 is a gapful number since it is divisible by the number (10) 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 1031112240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1603383984).

1031112240 is an abundant number, since it is smaller than the sum of its proper divisors (2175655728).

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

1031112240 is a wasteful number, since it uses less digits than its factorization.

1031112240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13886 (or 13880 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1031112240 is about 32110.9364547345. The cubic root of 1031112240 is about 1010.2650155784.

Adding to 1031112240 its reverse (422111301), we get a palindrome (1453223541).

The spelling of 1031112240 in words is "one billion, thirty-one million, one hundred twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 317 634 951 1268 1585 1902 2536 3170 3804 4755 5072 6340 7608 9510 12680 13553 15216 19020 25360 27106 38040 40659 54212 67765 76080 81318 108424 135530 162636 203295 216848 271060 325272 406590 542120 650544 813180 1084240 1626360 3252720 4296301 8592602 12888903 17185204 21481505 25777806 34370408 42963010 51555612 64444515 68740816 85926020 103111224 128889030 171852040 206222448 257778060 343704080 515556120 1031112240