Search a number
-
+
1010123120 = 24512626539
BaseRepresentation
bin111100001101010…
…100000101110000
32121101201120102102
4330031110011300
54032042414440
6244122235532
734013622236
oct7415240560
92541646372
101010123120
114792084a6
12242355ba8
13131372ab6
1498224956
155da30b15
hex3c354170

1010123120 has 20 divisors (see below), whose sum is σ = 2348536440. Its totient is φ = 404049216.

The previous prime is 1010123117. The next prime is 1010123123. The reversal of 1010123120 is 213210101.

It is an interprime number because it is at equal distance from previous prime (1010123117) and next prime (1010123123).

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010123123) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 6313190 + ... + 6313349.

It is an arithmetic number, because the mean of its divisors is an integer number (117426822).

Almost surely, 21010123120 is an apocalyptic number.

1010123120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010123120 is an abundant number, since it is smaller than the sum of its proper divisors (1338413320).

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

1010123120 is a wasteful number, since it uses less digits than its factorization.

1010123120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12626552 (or 12626546 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 1010123120 is about 31782.4341421484. The cubic root of 1010123120 is about 1003.3630505455.

Adding to 1010123120 its reverse (213210101), we get a palindrome (1223333221).

The spelling of 1010123120 in words is "one billion, ten million, one hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 12626539 25253078 50506156 63132695 101012312 126265390 202024624 252530780 505061560 1010123120