Search a number
-
+
101449548541 = 1122293661249
BaseRepresentation
bin101111001111011011…
…1010100001011111101
3100200212012020001000201
41132132313110023331
53130232041023131
6114334423523501
710221004635355
oct1363667241375
9320765201021
10101449548541
113a02a697400
12177b32b9591
139749c18c83
144ca578db65
15298b61a761
hex179edd42fd

101449548541 has 12 divisors (see below), whose sum is σ = 111997637500. Its totient is φ = 91824099840.

The previous prime is 101449548509. The next prime is 101449548559. The reversal of 101449548541 is 145845944101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 57372225625 + 44077322916 = 239525^2 + 209946^2 .

It is not a de Polignac number, because 101449548541 - 25 = 101449548509 is a prime.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101449548491 and 101449548500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101449548581) 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, 1802916 + ... + 1858333.

Almost surely, 2101449548541 is an apocalyptic number.

101449548541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101449548541 is a deficient number, since it is larger than the sum of its proper divisors (10548088959).

101449548541 is a wasteful number, since it uses less digits than its factorization.

101449548541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3661500 (or 3661489 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 46.

The spelling of 101449548541 in words is "one hundred one billion, four hundred forty-nine million, five hundred forty-eight thousand, five hundred forty-one".

Divisors: 1 11 121 229 2519 27709 3661249 40273739 443011129 838426021 9222686231 101449548541