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160001100061 = 1126761195581
BaseRepresentation
bin1001010100000011001…
…1110000100100011101
3120021222202022000222221
42111000303300210131
510110140240200221
6201300430505341
714362655624245
oct2250063604435
9507882260887
10160001100061
11619464a4700
1227014065251
131211b56354a
147a5bb1cb25
154266b08541
hex2540cf091d

160001100061 has 12 divisors (see below), whose sum is σ = 175895889372. Its totient is φ = 145433288000.

The previous prime is 160001100053. The next prime is 160001100067.

160001100061 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 132608864025 + 27392236036 = 364155^2 + 165506^2 .

It is not a de Polignac number, because 160001100061 - 23 = 160001100053 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (160001100067) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 720291 + ... + 915871.

It is an arithmetic number, because the mean of its divisors is an integer number (14657990781).

Almost surely, 2160001100061 is an apocalyptic number.

160001100061 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

160001100061 is a deficient number, since it is larger than the sum of its proper divisors (15894789311).

160001100061 is a wasteful number, since it uses less digits than its factorization.

160001100061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202364 (or 202353 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

It can be divided in two parts, 160001 and 100061, that added together give a palindrome (260062).

The spelling of 160001100061 in words is "one hundred sixty billion, one million, one hundred thousand, sixty-one".

Divisors: 1 11 121 6761 74371 195581 818081 2151391 23665301 1322323141 14545554551 160001100061