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1012044330 = 2325119371091
BaseRepresentation
bin111100010100101…
…001001000101010
32121112100011211100
4330110221020222
54033040404310
6244231342230
734036143363
oct7424511052
92545304740
101012044330
1147a2aa980
12242b21976
131318963cb
14985a4b6a
155dcaeec0
hex3c52922a

1012044330 has 96 divisors (see below), whose sum is σ = 2876223168. Its totient is φ = 244857600.

The previous prime is 1012044311. The next prime is 1012044361. The reversal of 1012044330 is 334402101.

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

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 47 ways as a sum of consecutive naturals, for example, 927085 + ... + 928175.

It is an arithmetic number, because the mean of its divisors is an integer number (29960658).

Almost surely, 21012044330 is an apocalyptic number.

1012044330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012044330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1438111584).

1012044330 is an abundant number, since it is smaller than the sum of its proper divisors (1864178838).

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

1012044330 is a wasteful number, since it uses less digits than its factorization.

1012044330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2052 (or 2049 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1012044330 is about 31812.6441843491. The cubic root of 1012044330 is about 1003.9987652297.

Adding to 1012044330 its reverse (334402101), we get a palindrome (1346446431).

The spelling of 1012044330 in words is "one billion, twelve million, forty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 937 990 1091 1874 2182 2811 3273 4685 5455 5622 6546 8433 9370 9819 10307 10910 12001 14055 16365 16866 19638 20614 24002 28110 30921 32730 36003 42165 49095 51535 60005 61842 72006 84330 92763 98190 103070 108009 120010 154605 180015 185526 216018 309210 360030 463815 540045 927630 1022267 1080090 2044534 3066801 5111335 6133602 9200403 10222670 11244937 15334005 18400806 22489874 30668010 33734811 46002015 56224685 67469622 92004030 101204433 112449370 168674055 202408866 337348110 506022165 1012044330