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1010046042 = 2321926910979
BaseRepresentation
bin111100001101000…
…001010001011010
32121101120122200200
4330031001101122
54032032433132
6244120443030
734013151435
oct7415012132
92541518620
101010046042
114791655a5
12242319476
131313469a5
149820481c
155da17d7c
hex3c34145a

1010046042 has 48 divisors (see below), whose sum is σ = 2312388000. Its totient is φ = 317747232.

The previous prime is 1010046013. The next prime is 1010046043. The reversal of 1010046042 is 2406400101.

It is a super-3 number, since 3×10100460423 (a number of 28 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1010046043) 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 23 ways as a sum of consecutive naturals, for example, 86509 + ... + 97487.

It is an arithmetic number, because the mean of its divisors is an integer number (48174750).

Almost surely, 21010046042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010046042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156194000).

1010046042 is an abundant number, since it is smaller than the sum of its proper divisors (1302341958).

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

1010046042 is a wasteful number, since it uses less digits than its factorization.

1010046042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11275 (or 11272 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1010046042 is about 31781.2215309607. The cubic root of 1010046042 is about 1003.3375291733.

Adding to 1010046042 its reverse (2406400101), we get a palindrome (3416446143).

The spelling of 1010046042 in words is "one billion, ten million, forty-six thousand, forty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 269 342 538 807 1614 2421 4842 5111 10222 10979 15333 21958 30666 32937 45999 65874 91998 98811 197622 208601 417202 625803 1251606 1877409 2953351 3754818 5906702 8860053 17720106 26580159 53160318 56113669 112227338 168341007 336682014 505023021 1010046042