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117212265 = 3105397
BaseRepresentation
bin1101111110010…
…00010001101001
322011120000000000
412333020101221
5220001243030
615344133213
72622200502
oct677102151
9264500000
10117212265
1160188345
1233307209
131b38c091
14117d1ba9
15a454860
hex6fc8469

117212265 has 44 divisors (see below), whose sum is σ = 211512324. Its totient is φ = 62355744.

The previous prime is 117212261. The next prime is 117212269. The reversal of 117212265 is 562212711.

It is an interprime number because it is at equal distance from previous prime (117212261) and next prime (117212269).

It can be written as a sum of positive squares in 2 ways, for example, as 60466176 + 56746089 = 7776^2 + 7533^2 .

It is not a de Polignac number, because 117212265 - 22 = 117212261 is a prime.

It is a super-3 number, since 3×1172122653 (a number of 25 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (117212261) by changing a digit.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 295047 + ... + 295443.

Almost surely, 2117212265 is an apocalyptic number.

117212265 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

117212265 is a deficient number, since it is larger than the sum of its proper divisors (94300059).

117212265 is an frugal number, since it uses more digits than its factorization.

117212265 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 405 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 117212265 is about 10826.4613332335. The cubic root of 117212265 is about 489.3929244326.

Adding to 117212265 its reverse (562212711), we get a palindrome (679424976).

The spelling of 117212265 in words is "one hundred seventeen million, two hundred twelve thousand, two hundred sixty-five".

Divisors: 1 3 5 9 15 27 45 81 135 243 397 405 729 1191 1215 1985 2187 3573 3645 5955 6561 10719 10935 17865 19683 32157 32805 53595 59049 96471 98415 160785 289413 295245 482355 868239 1447065 2604717 4341195 7814151 13023585 23442453 39070755 117212265