Search a number
-
+
102023145 = 345725397
BaseRepresentation
bin1100001010010…
…11111111101001
321002222022110000
412011023333221
5202104220040
614042413213
72346116400
oct605137751
9232868400
10102023145
1152653554
122a201209
13181a1633
14d79a637
158e54130
hex614bfe9

102023145 has 120 divisors (see below), whose sum is σ = 218993544. Its totient is φ = 45287424.

The previous prime is 102023143. The next prime is 102023149. The reversal of 102023145 is 541320201.

It can be written as a sum of positive squares in 4 ways, for example, as 16257024 + 85766121 = 4032^2 + 9261^2 .

It is not a de Polignac number, because 102023145 - 21 = 102023143 is a prime.

Together with 116970399 it forms an amicable pair .

It is not an unprimeable number, because it can be changed into a prime (102023143) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1051737 + ... + 1051833.

Almost surely, 2102023145 is an apocalyptic number.

102023145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102023145 is an abundant number, since it is smaller than the sum of its proper divisors (116970399).

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

102023145 is an equidigital number, since it uses as much as digits as its factorization.

102023145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 102023145 is about 10100.6507216119. The cubic root of 102023145 is about 467.2682103747.

Adding to 102023145 its reverse (541320201), we get a palindrome (643343346).

The spelling of 102023145 in words is "one hundred two million, twenty-three thousand, one hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 49 53 63 81 97 105 135 147 159 189 245 265 291 315 371 405 441 477 485 567 679 735 795 873 945 1113 1323 1431 1455 1855 2037 2205 2385 2597 2619 2835 3339 3395 3969 4293 4365 4753 5141 5565 6111 6615 7155 7791 7857 10017 10185 12985 13095 14259 15423 16695 18333 19845 21465 23373 23765 25705 30051 30555 35987 38955 39285 42777 46269 50085 54999 70119 71295 77115 91665 107961 116865 128331 138807 150255 179935 210357 213885 231345 251909 274995 323883 350595 384993 416421 539805 641655 694035 755727 971649 1051785 1259545 1619415 1924965 2082105 2267181 2914947 3778635 4858245 6801543 11335905 14574735 20404629 34007715 102023145