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13241953469901 = 313232937310491301
BaseRepresentation
bin1100000010110010000111…
…1011101100010111001101
31201212220210111122022012110
43000230201323230113031
53213424010042014101
644055134111054233
72534461644224622
oct300544173542715
951786714568173
1013241953469901
114245976575872
12159a467511379
137509319922a0
1433acb1cda349
1517e6c0d63cd6
hexc0b21eec5cd

13241953469901 has 128 divisors (see below), whose sum is σ = 20615430528000. Its totient is φ = 7492720435200.

The previous prime is 13241953469869. The next prime is 13241953469917. The reversal of 13241953469901 is 10996435914231.

13241953469901 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13241953469901 - 25 = 13241953469869 is a prime.

It is a super-2 number, since 2×132419534699012 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13241953469981) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10178287951 + ... + 10178289251.

It is an arithmetic number, because the mean of its divisors is an integer number (161058051000).

Almost surely, 213241953469901 is an apocalyptic number.

It is an amenable number.

13241953469901 is a deficient number, since it is larger than the sum of its proper divisors (7373477058099).

13241953469901 is a wasteful number, since it uses less digits than its factorization.

13241953469901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2791.

The product of its (nonzero) digits is 6298560, while the sum is 57.

The spelling of 13241953469901 in words is "thirteen trillion, two hundred forty-one billion, nine hundred fifty-three million, four hundred sixty-nine thousand, nine hundred one".

Divisors: 1 3 13 23 29 39 69 87 299 373 377 667 897 1049 1119 1131 1301 2001 3147 3903 4849 8579 8671 10817 13637 14547 16913 24127 25737 26013 29923 30421 32451 37729 40911 50739 72381 89769 91263 111527 113187 140621 248791 313651 334581 388999 391277 395473 421863 485273 490477 699683 746373 867767 940953 1166997 1173831 1186419 1364749 1455819 1471431 2099049 2603301 3234283 4094247 5086601 6308549 8999371 9095879 9702849 11161279 11280971 11347033 14072917 15259803 17741737 18925647 26998113 27287637 31389227 33483837 33842913 34041099 39577721 42218751 53225211 94167681 116991823 118733163 145096627 147511429 182947921 260981759 323677091 350975469 408059951 435289881 442534287 509051377 514510373 548843763 782945277 910287583 971031273 1224179853 1527154131 1543531119 2730862749 3392762867 4207802183 6617667901 10178288601 11708181671 11833738579 12623406549 14762489933 19853003703 35124545013 35501215737 44287469799 152206361723 191912369129 339537268459 456619085169 575737107387 1018611805377 4413984489967 13241953469901