Search a number
-
+
1012132011 = 311151203117
BaseRepresentation
bin111100010100111…
…110100010101011
32121112111122002210
4330110332202223
54033101211021
6244233300203
734036660122
oct7424764253
92545448083
101012132011
1147a35a840
12242b64663
131318c72a7
14985c8ab9
155dccae76
hex3c53e8ab

1012132011 has 16 divisors (see below), whose sum is σ = 1481948928. Its totient is φ = 609348000.

The previous prime is 1012132001. The next prime is 1012132019. The reversal of 1012132011 is 1102312101.

It is not a de Polignac number, because 1012132011 - 229 = 475261099 is a prime.

It is a super-2 number, since 2×10121320112 = 2048822415381808242, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1012132019) 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 15 ways as a sum of consecutive naturals, for example, 96576 + ... + 106541.

It is an arithmetic number, because the mean of its divisors is an integer number (92621808).

Almost surely, 21012132011 is an apocalyptic number.

1012132011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1012132011 is a deficient number, since it is larger than the sum of its proper divisors (469816917).

1012132011 is a wasteful number, since it uses less digits than its factorization.

1012132011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203282.

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 1012132011 is about 31814.0222386293. The cubic root of 1012132011 is about 1004.0277590432.

Adding to 1012132011 its reverse (1102312101), we get a palindrome (2114444112).

The spelling of 1012132011 in words is "one billion, twelve million, one hundred thirty-two thousand, eleven".

Divisors: 1 3 11 33 151 453 1661 4983 203117 609351 2234287 6702861 30670667 92012001 337377337 1012132011