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7668100131 = 313309192053
BaseRepresentation
bin1110010010000110…
…11110110000100011
3201210101212211212120
413021003132300203
5111201013201011
63304521555323
7361010530026
oct71103366043
921711784776
107668100131
11328549613a
1215a0045b43
13952856673
1452a58d1bd
152ed2d9a06
hex1c90dec23

7668100131 has 8 divisors (see below), whose sum is σ = 10224954960. Its totient is φ = 5111656032.

The previous prime is 7668100129. The next prime is 7668100171. The reversal of 7668100131 is 1310018667.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 7668100131 - 21 = 7668100129 is a prime.

It is a super-3 number, since 3×76681001313 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 7668100092 and 7668100101.

It is not an unprimeable number, because it can be changed into a prime (7668100171) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56100 + ... + 135953.

It is an arithmetic number, because the mean of its divisors is an integer number (1278119370).

Almost surely, 27668100131 is an apocalyptic number.

7668100131 is a deficient number, since it is larger than the sum of its proper divisors (2556854829).

7668100131 is a wasteful number, since it uses less digits than its factorization.

7668100131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205365.

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 7668100131 is about 87567.6888526813. The cubic root of 7668100131 is about 1971.9501187929.

Adding to 7668100131 its reverse (1310018667), we get a palindrome (8978118798).

The spelling of 7668100131 in words is "seven billion, six hundred sixty-eight million, one hundred thousand, one hundred thirty-one".

Divisors: 1 3 13309 39927 192053 576159 2556033377 7668100131