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1341431211321 = 32172672114889
BaseRepresentation
bin10011100001010011100…
…001111110010100111001
311202020110122111001120100
4103201103201332110321
5133434222342230241
62504124530150013
7165625626110055
oct23412341762471
94666418431510
101341431211321
11477996a47503
12197b8a722309
139965b8358b6
1448cd5c70c65
1524d613b99b6
hex1385387e539

1341431211321 has 54 divisors (see below), whose sum is σ = 2089502936430. Its totient is φ = 829112689152.

The previous prime is 1341431211301. The next prime is 1341431211331. The reversal of 1341431211321 is 1231121341431.

1341431211321 is a `hidden beast` number, since 1 + 3 + 4 + 14 + 312 + 11 + 321 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 581856212025 + 759574999296 = 762795^2 + 871536^2 .

It is not a de Polignac number, because 1341431211321 - 26 = 1341431211257 is a prime.

It is a super-2 number, since 2×13414312113212 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1341431211301) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 11618445 + ... + 11733333.

Almost surely, 21341431211321 is an apocalyptic number.

It is an amenable number.

1341431211321 is a deficient number, since it is larger than the sum of its proper divisors (748071725109).

1341431211321 is a wasteful number, since it uses less digits than its factorization.

1341431211321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115063 (or 114976 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

Adding to 1341431211321 its reverse (1231121341431), we get a palindrome (2572552552752).

The spelling of 1341431211321 in words is "one trillion, three hundred forty-one billion, four hundred thirty-one million, two hundred eleven thousand, three hundred twenty-one".

Divisors: 1 3 9 17 51 67 153 201 289 603 867 1139 2601 3417 4489 10251 13467 19363 40401 58089 76313 114889 174267 228939 344667 686817 1034001 1297321 1953113 3891963 5859339 7697563 11675889 17578017 23092689 33202921 69278067 99608763 130858571 298826289 392575713 515736721 1177727139 1547210163 2224595707 4641630489 6673787121 8767524257 20021361363 26302572771 78907718313 149047912369 447143737107 1341431211321