Search a number
-
+
1041023022 = 231347594813
BaseRepresentation
bin111110000011001…
…100000000101110
32200112212110010020
4332003030000232
54113000214042
6251144423010
734540356354
oct7603140056
92615773106
101041023022
114946a3006
12250777a66
131378a1570
149c3897d4
15615d63ec
hex3e0cc02e

1041023022 has 64 divisors (see below), whose sum is σ = 2329205760. Its totient is φ = 308121984.

The previous prime is 1041023003. The next prime is 1041023029. The reversal of 1041023022 is 2203201401.

It is a junction number, because it is equal to n+sod(n) for n = 1041022992 and 1041023010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1041023029) 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 31 ways as a sum of consecutive naturals, for example, 213888 + ... + 218700.

It is an arithmetic number, because the mean of its divisors is an integer number (36393840).

Almost surely, 21041023022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1041023022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1164602880).

1041023022 is an abundant number, since it is smaller than the sum of its proper divisors (1288182738).

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

1041023022 is a wasteful number, since it uses less digits than its factorization.

1041023022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4937.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1041023022 is about 32264.8883773058. Note that the first 3 decimals coincide. The cubic root of 1041023022 is about 1013.4915014774.

Adding to 1041023022 its reverse (2203201401), we get a palindrome (3244224423).

The spelling of 1041023022 in words is "one billion, forty-one million, twenty-three thousand, twenty-two".

Divisors: 1 2 3 6 13 26 39 47 59 78 94 118 141 177 282 354 611 767 1222 1534 1833 2301 2773 3666 4602 4813 5546 8319 9626 14439 16638 28878 36049 62569 72098 108147 125138 187707 216294 226211 283967 375414 452422 567934 678633 851901 1357266 1703802 2940743 3691571 5881486 7383142 8822229 11074713 13346449 17644458 22149426 26692898 40039347 80078694 173503837 347007674 520511511 1041023022