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306106131 = 31719315899
BaseRepresentation
bin10010001111101…
…100111100010011
3210022222210200010
4102033230330103
51111330344011
650212530003
710404600462
oct2217547423
9708883603
10306106131
11147875081
1286620903
134b5581b6
142c9229d9
151bd181a6
hex123ecf13

306106131 has 16 divisors (see below), whose sum is σ = 454896000. Its totient is φ = 181957248.

The previous prime is 306106127. The next prime is 306106133. The reversal of 306106131 is 131601603.

It is not a de Polignac number, because 306106131 - 22 = 306106127 is a prime.

It is a super-2 number, since 2×3061061312 = 187401926871578322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 306106098 and 306106107.

It is not an unprimeable number, because it can be changed into a prime (306106133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156981 + ... + 158918.

It is an arithmetic number, because the mean of its divisors is an integer number (28431000).

Almost surely, 2306106131 is an apocalyptic number.

306106131 is a deficient number, since it is larger than the sum of its proper divisors (148789869).

306106131 is a wasteful number, since it uses less digits than its factorization.

306106131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315938.

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 306106131 is about 17495.8889742705. Note that the first 3 decimals coincide. The cubic root of 306106131 is about 673.9443075198.

Adding to 306106131 its reverse (131601603), we get a palindrome (437707734).

The spelling of 306106131 in words is "three hundred six million, one hundred six thousand, one hundred thirty-one".

Divisors: 1 3 17 19 51 57 323 969 315899 947697 5370283 6002081 16110849 18006243 102035377 306106131