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117175122252 = 223237379232109
BaseRepresentation
bin110110100100000101…
…1100111100101001100
3102012110010122221201200
41231020023213211030
53404433312403002
6125455101305500
711315465051136
oct1551013474514
9365403587650
10117175122252
114576a335711
121a861865290
13b084b89786
1459580c8056
1530abea4b1c
hex1b482e794c

117175122252 has 72 divisors (see below), whose sum is σ = 305001824400. Its totient is φ = 37902307968.

The previous prime is 117175122221. The next prime is 117175122271. The reversal of 117175122252 is 252221571711.

117175122252 is a `hidden beast` number, since 1 + 1 + 71 + 7 + 512 + 22 + 52 = 666.

117175122252 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1171751222522 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 388774 + ... + 620882.

It is an arithmetic number, because the mean of its divisors is an integer number (4236136450).

Almost surely, 2117175122252 is an apocalyptic number.

117175122252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117175122252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152500912200).

117175122252 is an abundant number, since it is smaller than the sum of its proper divisors (187826702148).

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

117175122252 is a wasteful number, since it uses less digits than its factorization.

117175122252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232535 (or 232530 counting only the distinct ones).

The product of its digits is 19600, while the sum is 36.

Adding to 117175122252 its reverse (252221571711), we get a palindrome (369396693963).

The spelling of 117175122252 in words is "one hundred seventeen billion, one hundred seventy-five million, one hundred twenty-two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 379 444 666 758 1137 1332 1516 2274 3411 4548 6822 13644 14023 28046 42069 56092 84138 126207 168276 232109 252414 464218 504828 696327 928436 1392654 2088981 2785308 4177962 8355924 8588033 17176066 25764099 34352132 51528198 77292297 87969311 103056396 154584594 175938622 263907933 309169188 351877244 527815866 791723799 1055631732 1583447598 3166895196 3254864507 6509729014 9764593521 13019458028 19529187042 29293780563 39058374084 58587561126 117175122252