Search a number
-
+
102326133 = 371331107113
BaseRepresentation
bin1100001100101…
…01111101110101
321010112201001210
412012111331311
5202143414013
614053112033
72351520630
oct606257565
9233481053
10102326133
1152840158
122a328619
1318279510
14d838c17
158eb3cc3
hex6195f75

102326133 has 64 divisors (see below), whose sum is σ = 176504832. Its totient is φ = 51287040.

The previous prime is 102326113. The next prime is 102326137. The reversal of 102326133 is 331623201.

It is not a de Polignac number, because 102326133 - 212 = 102322037 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102326137) 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, 905485 + ... + 905597.

It is an arithmetic number, because the mean of its divisors is an integer number (2757888).

Almost surely, 2102326133 is an apocalyptic number.

102326133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

102326133 is a deficient number, since it is larger than the sum of its proper divisors (74178699).

102326133 is a wasteful number, since it uses less digits than its factorization.

102326133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274.

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 102326133 is about 10115.6380421603. The cubic root of 102326133 is about 467.7303170859.

Adding to 102326133 its reverse (331623201), we get a palindrome (433949334).

The spelling of 102326133 in words is "one hundred two million, three hundred twenty-six thousand, one hundred thirty-three".

Divisors: 1 3 7 13 21 31 39 91 93 107 113 217 273 321 339 403 651 749 791 1209 1391 1469 2247 2373 2821 3317 3503 4173 4407 8463 9737 9951 10283 10509 12091 23219 24521 29211 30849 36273 43121 45539 69657 73563 84637 129363 136617 157183 253911 301847 318773 374821 471549 905541 956319 1100281 1124463 2623747 3300843 4872673 7871241 14618019 34108711 102326133