Search a number
-
+
1001230120 = 235119723459
BaseRepresentation
bin111011101011011…
…000111100101000
32120202222202112001
4323223120330220
54022303330440
6243203500344
733545213152
oct7353307450
92522882461
101001230120
11474194010
1223b3876b4
1312c57b077
1496d8bad2
155cd75b9a
hex3bad8f28

1001230120 has 64 divisors (see below), whose sum is σ = 2483006400. Its totient is φ = 360314880.

The previous prime is 1001230117. The next prime is 1001230129. The reversal of 1001230120 is 210321001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1001230097 and 1001230106.

It is not an unprimeable number, because it can be changed into a prime (1001230129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30951 + ... + 54409.

It is an arithmetic number, because the mean of its divisors is an integer number (38796975).

Almost surely, 21001230120 is an apocalyptic number.

1001230120 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 1001230120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1241503200).

1001230120 is an abundant number, since it is smaller than the sum of its proper divisors (1481776280).

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

1001230120 is a wasteful number, since it uses less digits than its factorization.

1001230120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23578 (or 23574 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1001230120 is about 31642.2205289073. The cubic root of 1001230120 is about 1000.4098719820.

Adding to 1001230120 its reverse (210321001), we get a palindrome (1211551121).

The spelling of 1001230120 in words is "one billion, one million, two hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 97 110 194 220 388 440 485 776 970 1067 1940 2134 3880 4268 5335 8536 10670 21340 23459 42680 46918 93836 117295 187672 234590 258049 469180 516098 938360 1032196 1290245 2064392 2275523 2580490 4551046 5160980 9102092 10321960 11377615 18204184 22755230 25030753 45510460 50061506 91020920 100123012 125153765 200246024 250307530 500615060 1001230120