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1031120040 = 2335172691879
BaseRepresentation
bin111101011101011…
…010010010101000
32122212020022210010
4331131122102220
54102431320130
6250152251520
734360242606
oct7535322250
92585208703
101031120040
1148a049825
122493a0ba0
13135814c02
149ad2c876
15607cc0b0
hex3d75a4a8

1031120040 has 128 divisors (see below), whose sum is σ = 3289248000. Its totient is φ = 257691648.

The previous prime is 1031120011. The next prime is 1031120059. The reversal of 1031120040 is 400211301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1031119998 and 1031120025.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 547821 + ... + 549699.

It is an arithmetic number, because the mean of its divisors is an integer number (25697250).

Almost surely, 21031120040 is an apocalyptic number.

1031120040 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 1031120040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1644624000).

1031120040 is an abundant number, since it is smaller than the sum of its proper divisors (2258127960).

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

1031120040 is a wasteful number, since it uses less digits than its factorization.

1031120040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2179 (or 2175 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1031120040 is about 32111.0579084527. The cubic root of 1031120040 is about 1010.2675630047.

Adding to 1031120040 its reverse (400211301), we get a palindrome (1431331341).

The spelling of 1031120040 in words is "one billion, thirty-one million, one hundred twenty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 269 340 408 510 538 680 807 1020 1076 1345 1614 1879 2040 2152 2690 3228 3758 4035 4573 5380 5637 6456 7516 8070 9146 9395 10760 11274 13719 15032 16140 18292 18790 22548 22865 27438 28185 31943 32280 36584 37580 45096 45730 54876 56370 63886 68595 75160 91460 95829 109752 112740 127772 137190 159715 182920 191658 225480 255544 274380 319430 383316 479145 505451 548760 638860 766632 958290 1010902 1277720 1516353 1916580 2021804 2527255 3032706 3833160 4043608 5054510 6065412 7581765 8592667 10109020 12130824 15163530 17185334 20218040 25778001 30327060 34370668 42963335 51556002 60654120 68741336 85926670 103112004 128890005 171853340 206224008 257780010 343706680 515560020 1031120040