Search a number
-
+
1146901041 = 321121381013
BaseRepresentation
bin100010001011100…
…0101001000110001
32221221002121110100
41010113011020301
54322101313131
6305450023013
740264332546
oct10427051061
92857077410
101146901041
11539439800
12280117a69
131537c2690
14ac46abcd
156aa4c7e6
hex445c5231

1146901041 has 36 divisors (see below), whose sum is σ = 1961024884. Its totient is φ = 641615040.

The previous prime is 1146901033. The next prime is 1146901051. The reversal of 1146901041 is 1401096411.

It can be written as a sum of positive squares in 2 ways, for example, as 90326016 + 1056575025 = 9504^2 + 32505^2 .

It is not a de Polignac number, because 1146901041 - 23 = 1146901033 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1146900996 and 1146901014.

It is not an unprimeable number, because it can be changed into a prime (1146901051) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 26350 + ... + 54663.

Almost surely, 21146901041 is an apocalyptic number.

1146901041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1146901041 is a deficient number, since it is larger than the sum of its proper divisors (814123843).

1146901041 is a wasteful number, since it uses less digits than its factorization.

1146901041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81054 (or 81040 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1146901041 is about 33865.9274345174. The cubic root of 1146901041 is about 1046.7476204960.

Adding to 1146901041 its reverse (1401096411), we get a palindrome (2547997452).

The spelling of 1146901041 in words is "one billion, one hundred forty-six million, nine hundred one thousand, forty-one".

Divisors: 1 3 9 11 13 33 39 99 117 121 143 363 429 1089 1287 1573 4719 14157 81013 243039 729117 891143 1053169 2673429 3159507 8020287 9478521 9802573 11584859 29407719 34754577 88223157 104263731 127433449 382300347 1146901041