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318943076121 = 3114194297
BaseRepresentation
bin1001010010000100111…
…11010001111100011001
31010111020200200000000000
410221002133101330121
520211143411413441
6402304225003213
732020464262455
oct4510237217431
91114220600000
10318943076121
1111329906280a
1251991483509
13240cb5585a7
1411618cdd665
15846a7522b6
hex4a427d1f19

318943076121 has 48 divisors (see below), whose sum is σ = 479667115200. Its totient is φ = 212071885344.

The previous prime is 318943076119. The next prime is 318943076131. The reversal of 318943076121 is 121670349813.

318943076121 is a `hidden beast` number, since 318 + 9 + 4 + 307 + 6 + 1 + 21 = 666.

It is not a de Polignac number, because 318943076121 - 21 = 318943076119 is a prime.

It is a super-3 number, since 3×3189430761213 (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (318943076131) 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 47 ways as a sum of consecutive naturals, for example, 74222445 + ... + 74226741.

It is an arithmetic number, because the mean of its divisors is an integer number (9993064900).

Almost surely, 2318943076121 is an apocalyptic number.

It is an amenable number.

318943076121 is a deficient number, since it is larger than the sum of its proper divisors (160724039079).

318943076121 is an frugal number, since it uses more digits than its factorization.

318943076121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4749 (or 4719 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 318943076121 in words is "three hundred eighteen billion, nine hundred forty-three million, seventy-six thousand, one hundred twenty-one".

Divisors: 1 3 9 27 81 243 419 729 1257 2187 3771 4297 6561 11313 12891 19683 33939 38673 59049 101817 116019 177147 305451 348057 916353 1044171 1800443 2749059 3132513 5401329 8247177 9397539 16203987 24741531 28192617 48611961 74224593 84577851 145835883 253733553 437507649 761200659 1312522947 3937568841 11812706523 35438119569 106314358707 318943076121