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13303309366971 = 32131961727073583
BaseRepresentation
bin1100000110010110101100…
…0001110111011010111011
31202002210011111120211001200
43001211223001313122323
53220430134144220341
644143242252545243
72542063256601201
oct301455301673273
952083144524050
1013303309366971
1142699a1359418
1215aa32b482223
1375665c2c8a20
1433dc528a1071
151810b2648db6
hexc196b0776bb

13303309366971 has 96 divisors (see below), whose sum is σ = 21832653373440. Its totient is φ = 7738184627712.

The previous prime is 13303309366939. The next prime is 13303309367021. The reversal of 13303309366971 is 17966390330331.

13303309366971 is a `hidden beast` number, since 133 + 0 + 330 + 93 + 6 + 6 + 97 + 1 = 666.

It is not a de Polignac number, because 13303309366971 - 25 = 13303309366939 is a prime.

It is a super-2 number, since 2×133033093669712 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13303307366971) 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, 3712895046 + ... + 3712898628.

It is an arithmetic number, because the mean of its divisors is an integer number (227423472640).

Almost surely, 213303309366971 is an apocalyptic number.

13303309366971 is a deficient number, since it is larger than the sum of its proper divisors (8529344006469).

13303309366971 is a wasteful number, since it uses less digits than its factorization.

13303309366971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6945 (or 6942 counting only the distinct ones).

The product of its (nonzero) digits is 4960116, while the sum is 54.

The spelling of 13303309366971 in words is "thirteen trillion, three hundred three billion, three hundred nine million, three hundred sixty-six thousand, nine hundred seventy-one".

Divisors: 1 3 9 13 19 39 57 117 171 247 617 741 1851 2223 2707 3583 5553 8021 8121 10749 11723 24063 24363 32247 35169 35191 46579 51433 68077 72189 105507 105573 139737 152399 154299 204231 316719 419211 457197 462897 612693 668629 885001 1371591 1670219 2005887 2210711 2655003 5010657 6017661 6632133 7965009 9699181 15031971 19896399 21712847 28739243 29097543 31734161 42003509 65138541 86217729 87292629 95202483 126010527 126089353 184284439 195415623 258653187 285607449 378031581 378268059 412544093 546045617 552853317 1134804177 1237632279 1638136851 1658559951 2395697707 3712896837 4914410553 5984394677 7187093121 17953184031 21561279363 53859552093 77797130801 113703498863 233391392403 341110496589 700174177209 1023331489767 1478145485219 4434436455657 13303309366971