Search a number
-
+
2023100023 = 73741317601
BaseRepresentation
bin111100010010110…
…0000111001110111
312012222211010111111
41320211200321313
513120403200043
6532430015451
7101064031540
oct17045407167
95188733444
102023100023
11948a94a9a
12485647587
132631a4809
1415298d4c7
15bc92709d
hex78960e77

2023100023 has 32 divisors (see below), whose sum is σ = 2444254848. Its totient is φ = 1638144000.

The previous prime is 2023100003. The next prime is 2023100063. The reversal of 2023100023 is 3200013202.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2023100023 - 29 = 2023099511 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2023099976 and 2023100012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2023100003) 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 31 ways as a sum of consecutive naturals, for example, 3365923 + ... + 3366523.

It is an arithmetic number, because the mean of its divisors is an integer number (76382964).

Almost surely, 22023100023 is an apocalyptic number.

2023100023 is a deficient number, since it is larger than the sum of its proper divisors (421154825).

2023100023 is a wasteful number, since it uses less digits than its factorization.

2023100023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003.

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 2023100023 is about 44978.8841902509. The cubic root of 2023100023 is about 1264.7531944675.

Adding to 2023100023 its reverse (3200013202), we get a palindrome (5223113225).

The spelling of 2023100023 in words is "two billion, twenty-three million, one hundred thousand, twenty-three".

Divisors: 1 7 37 41 259 287 317 601 1517 2219 4207 10619 11729 12997 22237 24641 82103 90979 155659 172487 190517 480889 911717 1333619 3366223 6382019 7049129 7811197 49343903 54678379 289014289 2023100023