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118788201 = 34721732
BaseRepresentation
bin1110001010010…
…01000001101001
322021112001210000
413011021001221
5220402210301
615442013213
72641453200
oct705110151
9267461700
10118788201
1161064374
1233947209
131b7c149c
1411ac2237
15a666786
hex7149069

118788201 has 45 divisors (see below), whose sum is σ = 207620391. Its totient is φ = 67486608.

The previous prime is 118788157. The next prime is 118788217. The reversal of 118788201 is 102887811.

The square root of 118788201 is 10899.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 108056025 + 10732176 = 10395^2 + 3276^2 .

It is not a de Polignac number, because 118788201 - 27 = 118788073 is a prime.

It is a super-2 number, since 2×1187882012 = 28221273393632802, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (118788601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 686551 + ... + 686723.

Almost surely, 2118788201 is an apocalyptic number.

118788201 is the 10899-th square number.

118788201 is the 5450-th centered octagonal number.

It is an amenable number.

118788201 is a deficient number, since it is larger than the sum of its proper divisors (88832190).

118788201 is an frugal number, since it uses more digits than its factorization.

118788201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 36.

The cubic root of 118788201 is about 491.5764871218.

Multiplying 118788201 by its sum of digits (36), we get a square (4276375236 = 653942).

The spelling of 118788201 in words is "one hundred eighteen million, seven hundred eighty-eight thousand, two hundred one".

Divisors: 1 3 7 9 21 27 49 63 81 147 173 189 441 519 567 1211 1323 1557 3633 3969 4671 8477 10899 14013 25431 29929 32697 76293 89787 98091 209503 228879 269361 628509 686637 808083 1466521 1885527 2424249 4399563 5656581 13198689 16969743 39596067 118788201