Search a number
-
+
102223203093 = 3411235394117
BaseRepresentation
bin101111100110011111…
…0100100101100010101
3100202212002222202120000
41133030332210230111
53133323114444333
6114543302001513
710246120614114
oct1371476445425
9322762882500
10102223203093
113a397373530
121798a416299
1398412a642b
144d3a41bc7b
1529d44db713
hex17ccfa4b15

102223203093 has 80 divisors (see below), whose sum is σ = 177110499456. Its totient is φ = 58141100160.

The previous prime is 102223202989. The next prime is 102223203119. The reversal of 102223203093 is 390302322201.

102223203093 is a `hidden beast` number, since 1 + 0 + 222 + 320 + 30 + 93 = 666.

It is not a de Polignac number, because 102223203093 - 29 = 102223202581 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102223203893) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1039071 + ... + 1133187.

Almost surely, 2102223203093 is an apocalyptic number.

It is an amenable number.

102223203093 is a deficient number, since it is larger than the sum of its proper divisors (74887296363).

102223203093 is a wasteful number, since it uses less digits than its factorization.

102223203093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94216 (or 94207 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 102223203093 its reverse (390302322201), we get a palindrome (492525525294).

The spelling of 102223203093 in words is "one hundred two billion, two hundred twenty-three million, two hundred three thousand, ninety-three".

Divisors: 1 3 9 11 23 27 33 53 69 81 99 159 207 253 297 477 583 621 759 891 1219 1431 1749 1863 2277 3657 4293 5247 6831 10971 13409 15741 20493 32913 40227 47223 94117 98739 120681 282351 362043 847053 1035287 1086129 2164691 2541159 3105861 4988201 6494073 7623477 9317583 14964603 19482219 23811601 27952749 44893809 54870211 58446657 71434803 83858247 114728623 134681427 164610633 175339971 214304409 344185869 404044281 493831899 642913227 1032557607 1262014853 1481495697 1928739681 3097672821 3786044559 4444487091 9293018463 11358133677 34074401031 102223203093