Search a number
-
+
1010010042 = 23273768653
BaseRepresentation
bin111100001100111…
…000011110111010
32121101111211022100
4330030320132322
54032030310132
6244120004230
734012641456
oct7414703672
92541454270
101010010042
11479140548
12242300676
131313334a2
14981d5666
155da0c37c
hex3c3387ba

1010010042 has 24 divisors (see below), whose sum is σ = 2218335444. Its totient is φ = 332057664.

The previous prime is 1010010019. The next prime is 1010010049. The reversal of 1010010042 is 2400100101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 991683081 + 18326961 = 31491^2 + 4281^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1010010049) 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 11 ways as a sum of consecutive naturals, for example, 383013 + ... + 385640.

Almost surely, 21010010042 is an apocalyptic number.

1010010042 is an abundant number, since it is smaller than the sum of its proper divisors (1208325402).

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

1010010042 is a wasteful number, since it uses less digits than its factorization.

1010010042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768734 (or 768731 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1010010042 is about 31780.6551537252. The cubic root of 1010010042 is about 1003.3256087332.

Adding to 1010010042 its reverse (2400100101), we get a palindrome (3410110143).

The spelling of 1010010042 in words is "one billion, ten million, ten thousand, forty-two".

Divisors: 1 2 3 6 9 18 73 146 219 438 657 1314 768653 1537306 2305959 4611918 6917877 13835754 56111669 112223338 168335007 336670014 505005021 1010010042