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1000422120 = 233517653751
BaseRepresentation
bin111011101000010…
…011101011101000
32120201110201011010
4323220103223220
54022102001440
6243134303520
733535306365
oct7350235350
92521421133
101000422120
11473791a45
1223b057ba0
1312c357369
1496c1b46c
155cc66580
hex3ba13ae8

1000422120 has 128 divisors (see below), whose sum is σ = 3186915840. Its totient is φ = 250368000.

The previous prime is 1000422083. The next prime is 1000422127. The reversal of 1000422120 is 212240001.

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 = 1000422096 and 1000422105.

It is not an unprimeable number, because it can be changed into a prime (1000422127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1331745 + ... + 1332495.

It is an arithmetic number, because the mean of its divisors is an integer number (24897780).

Almost surely, 21000422120 is an apocalyptic number.

1000422120 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 1000422120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1593457920).

1000422120 is an abundant number, since it is smaller than the sum of its proper divisors (2186493720).

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

1000422120 is a wasteful number, since it uses less digits than its factorization.

1000422120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1435 (or 1431 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1000422120 is about 31629.4502007227. The cubic root of 1000422120 is about 1000.1406868729.

Adding to 1000422120 its reverse (212240001), we get a palindrome (1212662121).

The spelling of 1000422120 in words is "one billion, four hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 653 680 751 1020 1306 1502 1959 2040 2253 2612 3004 3265 3755 3918 4506 5224 6008 6530 7510 7836 9012 9795 11101 11265 12767 13060 15020 15672 18024 19590 22202 22530 25534 26120 30040 33303 38301 39180 44404 45060 51068 55505 63835 66606 76602 78360 88808 90120 102136 111010 127670 133212 153204 166515 191505 222020 255340 266424 306408 333030 383010 444040 490403 510680 666060 766020 980806 1332120 1471209 1532040 1961612 2452015 2942418 3923224 4904030 5884836 7356045 8336851 9808060 11769672 14712090 16673702 19616120 25010553 29424180 33347404 41684255 50021106 58848360 66694808 83368510 100042212 125052765 166737020 200084424 250105530 333474040 500211060 1000422120