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13320234400221 = 3371774320892671
BaseRepresentation
bin1100000111010101101111…
…0101101111100111011101
31202011101212001000120221000
43001311123311233213131
53221214320001301341
644155121535100513
72543232553161360
oct301653365574735
952141761016830
1013320234400221
114276097074401
1215b1673671739
137581289019b8
143409ba6280d7
151817534638b6
hexc1d5bd6f9dd

13320234400221 has 128 divisors (see below), whose sum is σ = 23931953971200. Its totient is φ = 7148079912960.

The previous prime is 13320234400211. The next prime is 13320234400241. The reversal of 13320234400221 is 12200443202331.

13320234400221 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 0 + 2 + 34 + 400 + 221 = 666.

It is not a de Polignac number, because 13320234400221 - 26 = 13320234400157 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13320234400211) 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, 4986982716 + ... + 4986985386.

It is an arithmetic number, because the mean of its divisors is an integer number (186968390400).

Almost surely, 213320234400221 is an apocalyptic number.

It is an amenable number.

13320234400221 is a deficient number, since it is larger than the sum of its proper divisors (10611719570979).

13320234400221 is a wasteful number, since it uses less digits than its factorization.

13320234400221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5536 (or 5530 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 13320234400221 its reverse (12200443202331), we get a palindrome (25520677602552).

The spelling of 13320234400221 in words is "thirteen trillion, three hundred twenty billion, two hundred thirty-four million, four hundred thousand, two hundred twenty-one".

Divisors: 1 3 7 9 17 21 27 51 63 119 153 189 357 459 743 1071 2089 2229 2671 3213 5201 6267 6687 8013 12631 14623 15603 18697 18801 20061 24039 35513 37893 43869 45407 46809 56091 56403 72117 88417 106539 113679 131607 136221 140427 168273 248591 265251 317849 319617 341037 394821 408663 504819 745773 795753 953547 958851 1225989 1552127 1984553 2237319 2387259 2860641 4656381 5579719 5953659 6711957 8581923 10864889 13891871 13969143 16739157 17860977 26386159 32594667 33737401 39058033 41675613 41907429 50217471 53582931 79158477 94855223 97784001 101212203 117174099 125026839 150652413 184703113 236161807 237475431 284565669 293352003 303636609 351522297 375080517 554109339 663986561 708485421 712426293 853697007 910909827 1054566891 1662328017 1991959683 2125456263 2561091021 4145731217 4986984051 5975879049 6376368789 12437193651 17927637147 29020118519 37311580953 70477430689 87060355557 111934742859 211432292067 261181066671 493342014823 634296876201 783543200013 1480026044469 1902890628603 4440078133407 13320234400221