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103254061541 = 1011139047057
BaseRepresentation
bin110000000101001101…
…0111111000111100101
3100212111221201210111112
41200022122333013211
53142431014432131
6115233444514405
710313506020251
oct1401232770745
9325457653445
10103254061541
113a876253764
12180176aba05
139976a29247
144dd72bd261
152a44c6602b
hex180a6bf1e5

103254061541 has 8 divisors (see below), whose sum is σ = 105199190424. Its totient is φ = 101327027200.

The previous prime is 103254061499. The next prime is 103254061543. The reversal of 103254061541 is 145160452301.

It can be written as a sum of positive squares in 4 ways, for example, as 18876012100 + 84378049441 = 137390^2 + 290479^2 .

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 103254061541 - 234 = 86074192357 is a prime.

It is a super-2 number, since 2×1032540615412 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 103254061498 and 103254061507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103254061543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4512116 + ... + 4534941.

It is an arithmetic number, because the mean of its divisors is an integer number (13149898803).

Almost surely, 2103254061541 is an apocalyptic number.

It is an amenable number.

103254061541 is a deficient number, since it is larger than the sum of its proper divisors (1945128883).

103254061541 is a wasteful number, since it uses less digits than its factorization.

103254061541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9047271.

The product of its (nonzero) digits is 14400, while the sum is 32.

The spelling of 103254061541 in words is "one hundred three billion, two hundred fifty-four million, sixty-one thousand, five hundred forty-one".

Divisors: 1 101 113 11413 9047057 913752757 1022317441 103254061541