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505364021331 = 31337217952879
BaseRepresentation
bin1110101101010100000…
…10110000000001010011
31210022102200120020012020
413112222002300001103
531234441142140311
61024054440502523
751340251206451
oct7265202600123
91708380506166
10505364021331
111853618a7084
1281b3947aa43
133886a5318b0
141a6617a19d1
15d22b9e2c06
hex75aa0b0053

505364021331 has 48 divisors (see below), whose sum is σ = 749973772800. Its totient is φ = 300891894912.

The previous prime is 505364021321. The next prime is 505364021363. The reversal of 505364021331 is 133120463505.

It is not a de Polignac number, because 505364021331 - 214 = 505364004947 is a prime.

It is a super-2 number, since 2×5053640213312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 505364021292 and 505364021301.

It is not an unprimeable number, because it can be changed into a prime (505364021311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9530550 + ... + 9583428.

It is an arithmetic number, because the mean of its divisors is an integer number (15624453600).

Almost surely, 2505364021331 is an apocalyptic number.

505364021331 is a deficient number, since it is larger than the sum of its proper divisors (244609751469).

505364021331 is a wasteful number, since it uses less digits than its factorization.

505364021331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53148 (or 53111 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

Adding to 505364021331 its reverse (133120463505), we get a palindrome (638484484836).

The spelling of 505364021331 in words is "five hundred five billion, three hundred sixty-four million, twenty-one thousand, three hundred thirty-one".

Divisors: 1 3 13 37 39 111 179 481 537 1369 1443 2327 4107 6623 6981 17797 19869 52879 53391 86099 158637 245051 258297 687427 735153 1956523 2062281 3185663 5869569 9465341 9556989 25434799 28396023 72391351 76304397 123049433 217174053 350217617 369148299 941087563 1050652851 2823262689 4552829021 12958051829 13658487063 38874155487 168454673777 505364021331