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304213010311431 = 33134121139115441
BaseRepresentation
bin100010100101011100001110…
…0011010100110100100000111
31110220010110221202010021101000
41011022320130122212210013
5304333211221114431211
62555001305544304343
7121035443663322264
oct10512703432464407
91426113852107330
10304213010311431
1188a2801655a891
122a1526297720b3
1310099218a91940
145519db9b0826b
15252842a07a656
hex114ae1c6a6907

304213010311431 has 32 divisors (see below), whose sum is σ = 497191995195840. Its totient is φ = 182641957401600.

The previous prime is 304213010311403. The next prime is 304213010311471. The reversal of 304213010311431 is 134113010312403.

304213010311431 is a `hidden beast` number, since 3 + 0 + 4 + 2 + 1 + 301 + 0 + 311 + 43 + 1 = 666.

It is not a de Polignac number, because 304213010311431 - 27 = 304213010311303 is a prime.

It is a super-6 number, since 6×3042130103114316 (a number of 88 digits) contains 666666 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 304213010311395 and 304213010311404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304213010311471) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10569543330 + ... + 10569572111.

It is an arithmetic number, because the mean of its divisors is an integer number (15537249849870).

Almost surely, 2304213010311431 is an apocalyptic number.

304213010311431 is a deficient number, since it is larger than the sum of its proper divisors (192978984884409).

304213010311431 is a wasteful number, since it uses less digits than its factorization.

304213010311431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21139115504 (or 21139115498 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 304213010311431 its reverse (134113010312403), we get a palindrome (438326020623834).

The spelling of 304213010311431 in words is "three hundred four trillion, two hundred thirteen billion, ten million, three hundred eleven thousand, four hundred thirty-one".

Divisors: 1 3 9 13 27 39 41 117 123 351 369 533 1107 1599 4797 14391 21139115441 63417346323 190252038969 274808500733 570756116907 824425502199 866703733081 2473276506597 2600111199243 7419829519791 7800333597729 11267148530053 23401000793187 33801445590159 101404336770477 304213010311431