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11034232101 = 3331103149859
BaseRepresentation
bin10100100011011000…
…10000010100100101
31001110222212001212000
422101230100110211
5140044230411401
65022525515513
7540303265614
oct122154202445
931428761760
1011034232101
114752599992
12217b412b99
13106b051a29
1476966187b
15448aa2186
hex291b10525

11034232101 has 64 divisors (see below), whose sum is σ = 17172480000. Its totient is φ = 6994278720.

The previous prime is 11034232067. The next prime is 11034232117. The reversal of 11034232101 is 10123243011.

11034232101 is a `hidden beast` number, since 1 + 1 + 0 + 342 + 321 + 0 + 1 = 666.

It is not a de Polignac number, because 11034232101 - 210 = 11034231077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11034232141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12845010 + ... + 12845868.

It is an arithmetic number, because the mean of its divisors is an integer number (268320000).

Almost surely, 211034232101 is an apocalyptic number.

It is an amenable number.

11034232101 is a deficient number, since it is larger than the sum of its proper divisors (6138247899).

11034232101 is a wasteful number, since it uses less digits than its factorization.

11034232101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11034232101 its reverse (10123243011), we get a palindrome (21157475112).

The spelling of 11034232101 in words is "eleven billion, thirty-four million, two hundred thirty-two thousand, one hundred one".

Divisors: 1 3 9 27 31 93 103 149 279 309 447 837 859 927 1341 2577 2781 3193 4023 4619 7731 9579 13857 15347 23193 26629 28737 41571 46041 79887 86211 88477 124713 127991 138123 239661 265431 383973 414369 475757 718983 796293 1151919 1427271 2388879 2742787 3455757 3967721 4281813 8228361 11903163 12845439 13183073 24685083 35709489 39549219 74055249 107128467 118647657 355942971 408675263 1226025789 3678077367 11034232101