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1031343120 = 2432510313907
BaseRepresentation
bin111101011110010…
…000110000010000
32122212122122210100
4331132100300100
54103010434440
6250201132400
734362162153
oct7536206020
92585578710
101031343120
1148a191395
1224948a100
13135892602
149ad89c9a
1560823230
hex3d790c10

1031343120 has 120 divisors (see below), whose sum is σ = 3497472576. Its totient is φ = 272335104.

The previous prime is 1031343119. The next prime is 1031343163. The reversal of 1031343120 is 213431301.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 1031343093 and 1031343102.

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 23 ways as a sum of consecutive naturals, for example, 67207 + ... + 81113.

Almost surely, 21031343120 is an apocalyptic number.

1031343120 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 1031343120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1748736288).

1031343120 is an abundant number, since it is smaller than the sum of its proper divisors (2466129456).

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

1031343120 is a wasteful number, since it uses less digits than its factorization.

1031343120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14029 (or 14020 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1031343120 is about 32114.5312903676. The cubic root of 1031343120 is about 1010.3404139591.

Adding to 1031343120 its reverse (213431301), we get a palindrome (1244774421).

The spelling of 1031343120 in words is "one billion, thirty-one million, three hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 103 120 144 180 206 240 309 360 412 515 618 720 824 927 1030 1236 1545 1648 1854 2060 2472 3090 3708 4120 4635 4944 6180 7416 8240 9270 12360 13907 14832 18540 24720 27814 37080 41721 55628 69535 74160 83442 111256 125163 139070 166884 208605 222512 250326 278140 333768 417210 500652 556280 625815 667536 834420 1001304 1112560 1251630 1432421 1668840 2002608 2503260 2864842 3337680 4297263 5006520 5729684 7162105 8594526 10013040 11459368 12891789 14324210 17189052 21486315 22918736 25783578 28648420 34378104 42972630 51567156 57296840 64458945 68756208 85945260 103134312 114593680 128917890 171890520 206268624 257835780 343781040 515671560 1031343120