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1304351401311 = 327971678631481
BaseRepresentation
bin10010111110110001011…
…001101110010101011111
311121200202111021112122200
4102332301121232111133
5132332302424320221
62435113305142543
7163144020656520
oct22766131562537
94550674245580
101304351401311
114631993a8422
1219096078aa53
1395ccc772b0a
14471b9452847
1523de0e5e426
hex12fb166e55f

1304351401311 has 96 divisors (see below), whose sum is σ = 2192454770688. Its totient is φ = 731898408960.

The previous prime is 1304351401303. The next prime is 1304351401337. The reversal of 1304351401311 is 1131041534031.

1304351401311 is a `hidden beast` number, since 1 + 304 + 3 + 5 + 1 + 40 + 1 + 311 = 666.

It is not a de Polignac number, because 1304351401311 - 23 = 1304351401303 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1304351401351) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 880722691 + ... + 880724171.

It is an arithmetic number, because the mean of its divisors is an integer number (22838070528).

Almost surely, 21304351401311 is an apocalyptic number.

1304351401311 is a deficient number, since it is larger than the sum of its proper divisors (888103369377).

1304351401311 is a wasteful number, since it uses less digits than its factorization.

1304351401311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2621 (or 2618 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 1304351401311 its reverse (1131041534031), we get a palindrome (2435392935342).

The spelling of 1304351401311 in words is "one trillion, three hundred four billion, three hundred fifty-one million, four hundred one thousand, three hundred eleven".

Divisors: 1 3 7 9 21 63 97 167 291 501 679 863 873 1169 1481 1503 2037 2589 3507 4443 6041 6111 7767 10367 10521 13329 16199 18123 31101 48597 54369 83711 93303 113393 143657 144121 145791 247327 251133 340179 430971 432363 585977 741981 753399 1005599 1008847 1020537 1278103 1292913 1297089 1731289 1757931 2225943 3016797 3026541 3834309 5193867 5273793 8946721 9050391 9079623 11502927 13979737 15581601 23990719 26840163 41939211 71972157 80520489 97858159 123975991 125817633 167935033 213443201 215916471 293574477 371927973 503805099 640329603 867831937 880723431 1115783919 1494102407 1511415297 1920988809 2603495811 4482307221 7810487433 13446921663 20703990497 62111971491 144927933479 186335914473 434783800437 1304351401311