Search a number
-
+
101340225 = 3252737247
BaseRepresentation
bin1100000101001…
…01010001000001
321001200121122200
412002211101001
5201420341400
614020023413
72340243360
oct602452101
9231617580
10101340225
1152227458
1229b31b69
1317cc283c
14d65d7d7
158d6bb00
hex60a5441

101340225 has 108 divisors (see below), whose sum is σ = 217736064. Its totient is φ = 44115840.

The previous prime is 101340199. The next prime is 101340251. The reversal of 101340225 is 522043101.

101340225 is a `hidden beast` number, since 101 + 340 + 225 = 666.

It is an interprime number because it is at equal distance from previous prime (101340199) and next prime (101340251).

It is not a de Polignac number, because 101340225 - 25 = 101340193 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101340198 and 101340207.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2156152 + ... + 2156198.

Almost surely, 2101340225 is an apocalyptic number.

101340225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101340225 is an abundant number, since it is smaller than the sum of its proper divisors (116395839).

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

101340225 is a wasteful number, since it uses less digits than its factorization.

101340225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 99 counting only the distinct ones).

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

The square root of 101340225 is about 10066.7882167055. The cubic root of 101340225 is about 466.2232792608.

Adding to 101340225 its reverse (522043101), we get a palindrome (623383326).

The spelling of 101340225 in words is "one hundred one million, three hundred forty thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 37 45 47 63 75 105 111 141 175 185 225 235 259 315 329 333 423 525 555 705 777 925 987 1175 1295 1369 1575 1645 1665 1739 2115 2331 2775 2961 3525 3885 4107 4935 5217 6475 6845 8225 8325 8695 9583 10575 11655 12173 12321 14805 15651 19425 20535 24675 26085 28749 34225 36519 43475 47915 58275 60865 61605 64343 74025 78255 86247 102675 109557 130425 143745 182595 193029 239575 304325 308025 321715 391275 431235 450401 547785 579087 718725 912975 965145 1351203 1608575 2156175 2252005 2738925 2895435 4053609 4825725 6756015 11260025 14477175 20268045 33780075 101340225