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1035270012 = 2237173172287
BaseRepresentation
bin111101101101001…
…111011101111100
32200011001011110210
4331231033131330
54110012120022
6250421232420
734440435630
oct7555173574
92604034423
101035270012
11491423757
1224a862710
13136638b0a
149b6ccdc0
1560d4ba0c
hex3db4f77c

1035270012 has 96 divisors (see below), whose sum is σ = 2933618688. Its totient is φ = 277392384.

The previous prime is 1035270007. The next prime is 1035270053. The reversal of 1035270012 is 2100725301.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 451533 + ... + 453819.

It is an arithmetic number, because the mean of its divisors is an integer number (30558528).

Almost surely, 21035270012 is an apocalyptic number.

1035270012 is a gapful number since it is divisible by the number (12) 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 1035270012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1466809344).

1035270012 is an abundant number, since it is smaller than the sum of its proper divisors (1898348676).

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

1035270012 is a wasteful number, since it uses less digits than its factorization.

1035270012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2635 (or 2633 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 1035270012 is about 32175.6120687703. The cubic root of 1035270012 is about 1011.6210976142.

Adding to 1035270012 its reverse (2100725301), we get a palindrome (3135995313).

The spelling of 1035270012 in words is "one billion, thirty-five million, two hundred seventy thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 317 357 476 634 714 951 1268 1428 1902 2219 2287 3804 4438 4574 5389 6657 6861 8876 9148 10778 13314 13722 16009 16167 21556 26628 27444 32018 32334 37723 38879 48027 64036 64668 75446 77758 96054 113169 116637 150892 155516 192108 226338 233274 272153 452676 466548 544306 724979 816459 1088612 1449958 1632918 2174937 2899916 3265836 4349874 5074853 8699748 10149706 12324643 15224559 20299412 24649286 30449118 36973929 49298572 60898236 73947858 86272501 147895716 172545002 258817503 345090004 517635006 1035270012