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1125201441 = 371310937813
BaseRepresentation
bin100001100010001…
…0011011000100001
32220102021011012110
41003010103120201
54301022421231
6303352545533
736612024450
oct10304233041
92812234173
101125201441
11528168551
122749b22a9
1314c165790
14a961cb97
1568bb3046
hex43113621

1125201441 has 32 divisors (see below), whose sum is σ = 1863473920. Its totient is φ = 588052224.

The previous prime is 1125201433. The next prime is 1125201461. The reversal of 1125201441 is 1441025211.

It is not a de Polignac number, because 1125201441 - 23 = 1125201433 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (1125201401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10851 + ... + 48663.

It is an arithmetic number, because the mean of its divisors is an integer number (58233560).

Almost surely, 21125201441 is an apocalyptic number.

It is an amenable number.

1125201441 is a deficient number, since it is larger than the sum of its proper divisors (738272479).

1125201441 is a wasteful number, since it uses less digits than its factorization.

1125201441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37945.

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 1125201441 is about 33544.0224332145. The cubic root of 1125201441 is about 1040.1039839939.

Adding to 1125201441 its reverse (1441025211), we get a palindrome (2566226652).

It can be divided in two parts, 1125 and 201441, that added together give a triangular number (202566 = T636).

The spelling of 1125201441 in words is "one billion, one hundred twenty-five million, two hundred one thousand, four hundred forty-one".

Divisors: 1 3 7 13 21 39 91 109 273 327 763 1417 2289 4251 9919 29757 37813 113439 264691 491569 794073 1474707 3440983 4121617 10322949 12364851 28851319 53581021 86553957 160743063 375067147 1125201441