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11132431301 = 972414611033
BaseRepresentation
bin10100101111000101…
…10110101111000101
31001201211122002211102
422113202312233011
5140244400300201
65040354345445
7542605050635
oct122742665705
931654562742
1011132431301
1147a2a70452
1221a828b285
1310854b4974
147787046c5
154524ed26b
hex2978b6bc5

11132431301 has 16 divisors (see below), whose sum is σ = 11329322928. Its totient is φ = 10937548800.

The previous prime is 11132431243. The next prime is 11132431309. The reversal of 11132431301 is 10313423111.

It can be written as a sum of positive squares in 8 ways, for example, as 1062108100 + 10070323201 = 32590^2 + 100351^2 .

It is a cyclic number.

It is not a de Polignac number, because 11132431301 - 230 = 10058689477 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11132431309) 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 15 ways as a sum of consecutive naturals, for example, 10776281 + ... + 10777313.

It is an arithmetic number, because the mean of its divisors is an integer number (708082683).

Almost surely, 211132431301 is an apocalyptic number.

It is an amenable number.

11132431301 is a deficient number, since it is larger than the sum of its proper divisors (196891627).

11132431301 is a wasteful number, since it uses less digits than its factorization.

11132431301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1832.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 11132431301 its reverse (10313423111), we get a palindrome (21445854412).

The spelling of 11132431301 in words is "eleven billion, one hundred thirty-two million, four hundred thirty-one thousand, three hundred one".

Divisors: 1 97 241 461 1033 23377 44717 100201 111101 248953 476213 10776797 24148441 46192661 114767333 11132431301