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3002130131 = 7111319236863
BaseRepresentation
bin1011001011110000…
…1101111011010011
321202020001000022212
42302330031323103
522122021131011
61213522022335
7134252453660
oct26274157323
97666030285
103002130131
111300695890
126b94a79ab
1338ac7bc80
142069dca67
1512886508b
hexb2f0ded3

3002130131 has 64 divisors (see below), whose sum is σ = 4428103680. Its totient is φ = 1956493440.

The previous prime is 3002130127. The next prime is 3002130149. The reversal of 3002130131 is 1310312003.

It is not a de Polignac number, because 3002130131 - 22 = 3002130127 is a prime.

It is a super-2 number, since 2×30021301312 = 18025570646916154322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3002130101) 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 63 ways as a sum of consecutive naturals, for example, 434006 + ... + 440868.

It is an arithmetic number, because the mean of its divisors is an integer number (69189120).

Almost surely, 23002130131 is an apocalyptic number.

3002130131 is a deficient number, since it is larger than the sum of its proper divisors (1425973549).

3002130131 is a wasteful number, since it uses less digits than its factorization.

3002130131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6936.

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 3002130131 is about 54791.6976466326. The cubic root of 3002130131 is about 1442.5908429384.

Adding to 3002130131 its reverse (1310312003), we get a palindrome (4312442134).

The spelling of 3002130131 in words is "three billion, two million, one hundred thirty thousand, one hundred thirty-one".

Divisors: 1 7 11 13 19 23 77 91 133 143 161 209 247 253 299 437 1001 1463 1729 1771 2093 2717 3059 3289 4807 5681 6863 19019 23023 33649 39767 48041 62491 75493 89219 130397 157849 437437 528451 624533 912779 981409 1104943 1434367 1695161 1736339 2052037 2999131 6869863 10040569 11866127 12154373 14364259 18646771 20993917 22572407 32990441 38988703 130527397 158006849 230933087 272920921 428875733 3002130131