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118541801401 = 192181212
BaseRepresentation
bin110111001100110100…
…1000101011110111001
3102022222101022110001221
41232121221011132321
53420233200121101
6130242442112041
711364401454352
oct1563151053671
9368871273057
10118541801401
1146300835a11
121ab834ab621
13b24206c86a
145a47804d29
15313be66aa1
hex1b99a457b9

118541801401 has 9 divisors (see below), whose sum is σ = 125116118703. Its totient is φ = 112296561840.

The previous prime is 118541801393. The next prime is 118541801447. The reversal of 118541801401 is 104108145811.

It is a happy number.

The square root of 118541801401 is 344299.

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., 41168815801 + 77372985600 = 202901^2 + 278160^2 .

It is not a de Polignac number, because 118541801401 - 23 = 118541801393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (118541801701) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6532621 + ... + 6550741.

It is an arithmetic number, because the mean of its divisors is an integer number (13901790967).

Almost surely, 2118541801401 is an apocalyptic number.

118541801401 is the 344299-th square number.

118541801401 is the 172150-th centered octagonal number.

It is an amenable number.

118541801401 is a deficient number, since it is larger than the sum of its proper divisors (6574317302).

118541801401 is an frugal number, since it uses more digits than its factorization.

118541801401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36280 (or 18140 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 34.

The spelling of 118541801401 in words is "one hundred eighteen billion, five hundred forty-one million, eight hundred one thousand, four hundred one".

Divisors: 1 19 361 18121 344299 6541681 328370641 6239042179 118541801401