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1661134101 = 311231147617
BaseRepresentation
bin110001100000010…
…1110010100010101
311021202201100121020
41203000232110111
511400222242401
6432455511353
756110256364
oct14300562425
94252640536
101661134101
11782737700
123a4388559
132061bbcb3
1411a8897db
159ac77d36
hex6302e515

1661134101 has 24 divisors (see below), whose sum is σ = 2513048832. Its totient is φ = 974265600.

The previous prime is 1661134087. The next prime is 1661134133. The reversal of 1661134101 is 1014311661.

It is not a de Polignac number, because 1661134101 - 29 = 1661133589 is a prime.

It is a super-3 number, since 3×16611341013 (a number of 29 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1661134151) 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 23 ways as a sum of consecutive naturals, for example, 62556 + ... + 85061.

It is an arithmetic number, because the mean of its divisors is an integer number (104710368).

Almost surely, 21661134101 is an apocalyptic number.

1661134101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1661134101 is a deficient number, since it is larger than the sum of its proper divisors (851914731).

1661134101 is a wasteful number, since it uses less digits than its factorization.

1661134101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147673 (or 147662 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 1661134101 is about 40757.0129057565. The cubic root of 1661134101 is about 1184.3177307758.

Adding to 1661134101 its reverse (1014311661), we get a palindrome (2675445762).

The spelling of 1661134101 in words is "one billion, six hundred sixty-one million, one hundred thirty-four thousand, one hundred one".

Divisors: 1 3 11 31 33 93 121 341 363 1023 3751 11253 147617 442851 1623787 4576127 4871361 13728381 17861657 50337397 53584971 151012191 553711367 1661134101