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330055402313 = 72135373157853
BaseRepresentation
bin1001100110110001101…
…01011100001101001001
31011112221010110122210202
410303120311130031021
520401423140333223
6411343024421545
732563036426100
oct4633065341511
91145833418722
10330055402313
11117a8074096a
1253b72a778b5
132517c821030
1411d90a8d037
1588bb0cd428
hex4cd8d5c349

330055402313 has 96 divisors (see below), whose sum is σ = 430272241056. Its totient is φ = 250801754112.

The previous prime is 330055402279. The next prime is 330055402319. The reversal of 330055402313 is 313204550033.

It can be written as a sum of positive squares in 16 ways, for example, as 175671633424 + 154383768889 = 419132^2 + 392917^2 .

It is not a de Polignac number, because 330055402313 - 214 = 330055385929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (330055402319) 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 95 ways as a sum of consecutive naturals, for example, 386934395 + ... + 386935247.

It is an arithmetic number, because the mean of its divisors is an integer number (4482002511).

Almost surely, 2330055402313 is an apocalyptic number.

It is an amenable number.

330055402313 is a deficient number, since it is larger than the sum of its proper divisors (100216838743).

330055402313 is a wasteful number, since it uses less digits than its factorization.

330055402313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 29.

Adding to 330055402313 its reverse (313204550033), we get a palindrome (643259952346).

The spelling of 330055402313 in words is "three hundred thirty billion, fifty-five million, four hundred two thousand, three hundred thirteen".

Divisors: 1 7 13 49 53 73 91 157 371 511 637 689 853 949 1099 2041 2597 3577 3869 4823 5971 6643 7693 8321 11089 11461 14287 27083 33761 41797 45209 46501 50297 58247 62269 77623 80227 100009 108173 133921 148993 189581 316463 352079 407729 435883 543361 561589 587717 607433 757211 809497 937447 1042951 1740973 2215241 2464553 3051181 3300257 4114019 4252031 5300477 5666479 6562129 7097813 7300657 7896629 9776233 12186811 23101799 28798133 29764217 39665353 42903341 49684691 55276403 68433631 85307677 92271569 127091029 161712593 300323387 347792837 386934821 479035417 518140349 645900983 889637203 2102263709 3626982443 4521306881 6227460421 6735824537 25388877101 47150771759 330055402313