Search a number
-
+
102350402253 = 361121160317
BaseRepresentation
bin101111101010010001…
…1110011001011001101
3100210011222100011000000
41133110203303023031
53134103200333003
6115004044154513
710252224031131
oct1372443631315
9323158304000
10102350402253
113a452152100
1217a04b38a39
1398617510c8
144d4d28d3c1
1529e07651a3
hex17d48f32cd

102350402253 has 42 divisors (see below), whose sum is σ = 168674267342. Its totient is φ = 62030493360.

The previous prime is 102350402237. The next prime is 102350402269. The reversal of 102350402253 is 352204053201.

It is a happy number.

102350402253 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 5 + 0 + 402 + 253 = 666.

It is an interprime number because it is at equal distance from previous prime (102350402237) and next prime (102350402269).

It can be written as a sum of positive squares in only one way, i.e., 99298723689 + 3051678564 = 315117^2 + 55242^2 .

It is not a de Polignac number, because 102350402253 - 24 = 102350402237 is a prime.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102350402213) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 491950 + ... + 668367.

Almost surely, 2102350402253 is an apocalyptic number.

It is an amenable number.

102350402253 is a deficient number, since it is larger than the sum of its proper divisors (66323865089).

102350402253 is an equidigital number, since it uses as much as digits as its factorization.

102350402253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160357 (or 1160331 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 102350402253 its reverse (352204053201), we get a palindrome (454554455454).

The spelling of 102350402253 in words is "one hundred two billion, three hundred fifty million, four hundred two thousand, two hundred fifty-three".

Divisors: 1 3 9 11 27 33 81 99 121 243 297 363 729 891 1089 2673 3267 8019 9801 29403 88209 1160317 3480951 10442853 12763487 31328559 38290461 93985677 114871383 140398357 281957031 344614149 421195071 845871093 1033842447 1263585213 3101527341 3790755639 9304582023 11372266917 34116800751 102350402253