Search a number
-
+
102330000201023 = 72923928167711087
BaseRepresentation
bin10111010001000110001111…
…010011111101010100111111
3111102022122121122202112010022
4113101012033103331110333
5101403033320022413043
61001345430401202355
730361045541106620
oct2721061723752477
9442278548675108
10102330000201023
112a672a00415321
12b5882a60303bb
1345138a694164a
141b3ab26ca1a47
15bc6c88ac4868
hex5d118f4fd53f

102330000201023 has 64 divisors (see below), whose sum is σ = 122110919884800. Its totient is φ = 83900749470720.

The previous prime is 102330000201019. The next prime is 102330000201031. The reversal of 102330000201023 is 320102000033201.

It is not a de Polignac number, because 102330000201023 - 22 = 102330000201019 is a prime.

It is a super-2 number, since 2×1023300002010232 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102330000200992 and 102330000201010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102330000201043) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9229722986 + ... + 9229734072.

It is an arithmetic number, because the mean of its divisors is an integer number (1907983123200).

Almost surely, 2102330000201023 is an apocalyptic number.

102330000201023 is a deficient number, since it is larger than the sum of its proper divisors (19780919683777).

102330000201023 is a wasteful number, since it uses less digits than its factorization.

102330000201023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12320.

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 102330000201023 its reverse (320102000033201), we get a palindrome (422432000234224).

The spelling of 102330000201023 in words is "one hundred two trillion, three hundred thirty billion, two hundred one thousand, twenty-three".

Divisors: 1 7 29 203 239 281 677 1673 1967 4739 6931 8149 11087 19633 48517 57043 67159 77609 137431 161803 190237 321523 470113 1132621 1331659 1947611 2250661 2649793 3115447 4692287 5516873 7505899 13633277 18548551 21808129 32846009 38618111 45466643 52541293 76843997 90347963 217671071 318266501 537907979 632435741 744591833 1318532647 1523697497 1793909861 2109157619 5212142831 9229728529 12557369027 14764103333 21593163157 52023385969 61165570951 151152142099 364163701783 428158996657 504088670941 3528620696587 14618571457289 102330000201023