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253542103141 = 1117552141113
BaseRepresentation
bin1110110000100001001…
…0010111100001100101
3220020102210012100011111
43230020102113201211
513123223234300031
6312250423105021
724214003214035
oct3541022274145
9806383170144
10253542103141
11985879a8818
124117a8a2171
131aba7b7a402
14c3b300d8c5
1568ddc911b1
hex3b08497865

253542103141 has 8 divisors (see below), whose sum is σ = 253821225944. Its totient is φ = 253263075840.

The previous prime is 253542103117. The next prime is 253542103159. The reversal of 253542103141 is 141301245352.

It can be written as a sum of positive squares in 4 ways, for example, as 5409602500 + 248132500641 = 73550^2 + 498129^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 253542103141 - 27 = 253542103013 is a prime.

It is a super-2 number, since 2×2535421031412 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253542106141) 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 7 ways as a sum of consecutive naturals, for example, 6146401 + ... + 6187513.

It is an arithmetic number, because the mean of its divisors is an integer number (31727653243).

Almost surely, 2253542103141 is an apocalyptic number.

It is an amenable number.

253542103141 is a deficient number, since it is larger than the sum of its proper divisors (279122803).

253542103141 is a wasteful number, since it uses less digits than its factorization.

253542103141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47751.

The product of its (nonzero) digits is 14400, while the sum is 31.

Adding to 253542103141 its reverse (141301245352), we get a palindrome (394843348493).

The spelling of 253542103141 in words is "two hundred fifty-three billion, five hundred forty-two million, one hundred three thousand, one hundred forty-one".

Divisors: 1 1117 5521 41113 6166957 45923221 226984873 253542103141