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1010043023 = 11231674019
BaseRepresentation
bin111100001101000…
…000100010001111
32121101120111112212
4330031000202033
54032032334043
6244120421035
734013136563
oct7415004217
92541514485
101010043023
11479163300
1224231777b
131313454c2
14982036a3
155da17018
hex3c34088f

1010043023 has 24 divisors (see below), whose sum is σ = 1163420160. Its totient is φ = 875120400.

The previous prime is 1010042993. The next prime is 1010043061. The reversal of 1010043023 is 3203400101.

It is not a de Polignac number, because 1010043023 - 218 = 1009780879 is a prime.

It is a super-3 number, since 3×10100430233 (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1010042989 and 1010043007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010033023) 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, 249308 + ... + 253326.

It is an arithmetic number, because the mean of its divisors is an integer number (48475840).

Almost surely, 21010043023 is an apocalyptic number.

1010043023 is a deficient number, since it is larger than the sum of its proper divisors (153377137).

1010043023 is a wasteful number, since it uses less digits than its factorization.

1010043023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4139 (or 4128 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 1010043023 is about 31781.1740343242. The cubic root of 1010043023 is about 1003.3365295229.

Adding to 1010043023 its reverse (3203400101), we get a palindrome (4213443124).

The spelling of 1010043023 in words is "one billion, ten million, forty-three thousand, twenty-three".

Divisors: 1 11 31 67 121 341 737 2077 3751 4019 8107 22847 44209 124589 251317 269273 486299 1370479 2962003 8347463 15075269 32582033 91822093 1010043023