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334101304234113 = 313412251129115727
BaseRepresentation
bin100101111110111010000010…
…1100011101101000010000001
31121210221202212100010100101020
41023331310011203231002001
5322242403432340442423
63142324004214500053
7130242010530024633
oct11375640543550201
91553852770110336
10334101304234113
1197500627267679
123157b0a2964629
131145680540a490
145c70837486a53
152895b1d0a74e3
hex12fdd058ed081

334101304234113 has 96 divisors (see below), whose sum is σ = 494094317746176. Its totient is φ = 199619553600000.

The previous prime is 334101304234109. The next prime is 334101304234133. The reversal of 334101304234113 is 311432403101433.

It is not a de Polignac number, because 334101304234113 - 22 = 334101304234109 is a prime.

It is a super-2 number, since 2×3341013042341132 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (334101304234133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21243796056 + ... + 21243811782.

It is an arithmetic number, because the mean of its divisors is an integer number (5146815809856).

Almost surely, 2334101304234113 is an apocalyptic number.

It is an amenable number.

334101304234113 is a deficient number, since it is larger than the sum of its proper divisors (159993013512063).

334101304234113 is a wasteful number, since it uses less digits than its factorization.

334101304234113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17367 (or 17326 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

Adding to 334101304234113 its reverse (311432403101433), we get a palindrome (645533707335546).

The spelling of 334101304234113 in words is "three hundred thirty-four trillion, one hundred one billion, three hundred four million, two hundred thirty-four thousand, one hundred thirteen".

Divisors: 1 3 13 39 41 123 251 533 753 1291 1599 1681 3263 3873 5043 9789 10291 15727 16783 21853 30873 47181 50349 52931 65559 133783 158793 204451 324041 401349 421931 613353 644807 688103 972123 1265793 1934421 2064309 2170171 3947477 4212533 5485103 6510513 8382491 11842431 12637599 13285681 16455309 20303557 25147473 26437087 28212223 39857043 51317201 60910671 79311261 84636669 153951603 161846557 172713853 263946241 343682131 485539671 518141559 544712921 791838723 832445837 1031046393 1634138763 2104005241 2497337511 5096192807 6312015723 6635708837 7081267973 10821795881 15288578421 19907126511 21243803919 32465387643 34130279317 66250506491 86264214881 102390837951 198751519473 208943905087 258792644643 443693631121 626831715261 1331080893363 2716270766131 8148812298393 8566700108567 25700100325701 111367101411371 334101304234113