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118130377401 = 34381892
BaseRepresentation
bin110111000000100011…
…1101000001010111001
3102021220201010221110000
41232001013220022321
53413412334034101
6130133543543213
711351244432441
oct1560107501271
9367821127400
10118130377401
114610a577a83
121aa8975ab09
13b1a7a5b4ca
145a08d09121
153115c98486
hex1b811e82b9

118130377401 has 15 divisors (see below), whose sum is σ = 176470987231. Its totient is φ = 78751522728.

The previous prime is 118130377373. The next prime is 118130377423. The reversal of 118130377401 is 104773031811.

The square root of 118130377401 is 343701.

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

118130377401 is a `hidden beast` number, since 1 + 181 + 3 + 0 + 3 + 77 + 401 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11162133801 + 106968243600 = 105651^2 + 327060^2 .

It is not a de Polignac number, because 118130377401 - 27 = 118130377273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (118130377601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 3074215 + ... + 3112403.

Almost surely, 2118130377401 is an apocalyptic number.

118130377401 is the 343701-st square number.

118130377401 is the 171851-st centered octagonal number.

It is an amenable number.

118130377401 is a deficient number, since it is larger than the sum of its proper divisors (58340609830).

118130377401 is an frugal number, since it uses more digits than its factorization.

118130377401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76390 (or 38192 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

Multiplying 118130377401 by its sum of digits (36), we get a square (4252693586436 = 20622062).

The spelling of 118130377401 in words is "one hundred eighteen billion, one hundred thirty million, three hundred seventy-seven thousand, four hundred one".

Divisors: 1 3 9 27 81 38189 114567 343701 1031103 3093309 1458399721 4375199163 13125597489 39376792467 118130377401