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1231106121 = 34719114277
BaseRepresentation
bin100100101100001…
…0011000001001001
310011210112200010000
41021120103001021
510010130343441
6322054513213
742336141450
oct11130230111
93153480100
101231106121
11581a22283
122a4365809
13168095a7b
14b9709b97
15731322b6
hex49613049

1231106121 has 40 divisors (see below), whose sum is σ = 2212422080. Its totient is φ = 666457632.

The previous prime is 1231106089. The next prime is 1231106141. The reversal of 1231106121 is 1216011321.

1231106121 is a `hidden beast` number, since 12 + 31 + 10 + 612 + 1 = 666.

It is not a de Polignac number, because 1231106121 - 25 = 1231106089 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1231106094 and 1231106103.

It is not an unprimeable number, because it can be changed into a prime (1231106141) 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 39 ways as a sum of consecutive naturals, for example, 46366 + ... + 67911.

It is an arithmetic number, because the mean of its divisors is an integer number (55310552).

Almost surely, 21231106121 is an apocalyptic number.

It is an amenable number.

1231106121 is a deficient number, since it is larger than the sum of its proper divisors (981315959).

1231106121 is a wasteful number, since it uses less digits than its factorization.

1231106121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114315 (or 114306 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 1231106121 is about 35087.1218682867. The cubic root of 1231106121 is about 1071.7623506136.

Adding to 1231106121 its reverse (1216011321), we get a palindrome (2447117442).

The spelling of 1231106121 in words is "one billion, two hundred thirty-one million, one hundred six thousand, one hundred twenty-one".

Divisors: 1 3 7 9 19 21 27 57 63 81 133 171 189 399 513 567 1197 1539 3591 10773 114277 342831 799939 1028493 2171263 2399817 3085479 6513789 7199451 9256437 15198841 19541367 21598353 45596523 58624101 64795059 136789569 175872303 410368707 1231106121