Search a number
-
+
1035122023 = 13312568541
BaseRepresentation
bin111101101100101…
…011010101100111
32200010202122110201
4331230223111213
54104442401043
6250414131331
734436251315
oct7554532547
92603678421
101035122023
11491332551
1224a7b0b47
131365b6650
149b6910b5
1560d1cc4d
hex3db2b567

1035122023 has 8 divisors (see below), whose sum is σ = 1150706816. Its totient is φ = 924674400.

The previous prime is 1035122003. The next prime is 1035122029. The reversal of 1035122023 is 3202215301.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1035122023 - 25 = 1035121991 is a prime.

It is a super-3 number, since 3×10351220233 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1035122029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1283868 + ... + 1284673.

It is an arithmetic number, because the mean of its divisors is an integer number (143838352).

Almost surely, 21035122023 is an apocalyptic number.

1035122023 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1035122023 is a deficient number, since it is larger than the sum of its proper divisors (115584793).

1035122023 is a wasteful number, since it uses less digits than its factorization.

1035122023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2568585.

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 1035122023 is about 32173.3122789681. The cubic root of 1035122023 is about 1011.5728924996.

Adding to 1035122023 its reverse (3202215301), we get a palindrome (4237337324).

The spelling of 1035122023 in words is "one billion, thirty-five million, one hundred twenty-two thousand, twenty-three".

Divisors: 1 13 31 403 2568541 33391033 79624771 1035122023