Search a number
-
+
102333429 = 3311477331
BaseRepresentation
bin1100001100101…
…11101111110101
321010120002002000
412012113233311
5202144132204
614053205513
72351551122
oct606275765
9233502060
10102333429
1152845690
122a330899
131827c933
14d83b749
158eb6039
hex6197bf5

102333429 has 32 divisors (see below), whose sum is σ = 168929280. Its totient is φ = 60692400.

The previous prime is 102333403. The next prime is 102333437. The reversal of 102333429 is 924333201.

It is a happy number.

102333429 is a `hidden beast` number, since 1 + 0 + 233 + 3 + 429 = 666.

It is not a de Polignac number, because 102333429 - 212 = 102329333 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 (102333229) 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, 10294 + ... + 17624.

It is an arithmetic number, because the mean of its divisors is an integer number (5279040).

Almost surely, 2102333429 is an apocalyptic number.

It is an amenable number.

102333429 is a deficient number, since it is larger than the sum of its proper divisors (66595851).

102333429 is a wasteful number, since it uses less digits than its factorization.

102333429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7398 (or 7392 counting only the distinct ones).

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

The square root of 102333429 is about 10115.9986654803. The cubic root of 102333429 is about 467.7414334358.

Adding to 102333429 its sum of digits (27), we get a square (102333456 = 101162).

The spelling of 102333429 in words is "one hundred two million, three hundred thirty-three thousand, four hundred twenty-nine".

Divisors: 1 3 9 11 27 33 47 99 141 297 423 517 1269 1551 4653 7331 13959 21993 65979 80641 197937 241923 344557 725769 1033671 2177307 3101013 3790127 9303039 11370381 34111143 102333429