Search a number
-
+
13353040343097 = 32713231933672917
BaseRepresentation
bin1100001001001111111100…
…1110011111000000111001
31202021112112100012011022100
43002103333032133000321
53222234011311434342
644222145124214013
72545503534116610
oct302237716370071
952245470164270
1013353040343097
114288aa1184894
1215b7aaa23a309
1375b2563c5010
1434240d5a2877
1518252359ce4c
hexc24ff39f039

13353040343097 has 96 divisors (see below), whose sum is σ = 24899210638848. Its totient is φ = 6702219583488.

The previous prime is 13353040343077. The next prime is 13353040343117. The reversal of 13353040343097 is 79034304035331.

13353040343097 is a `hidden beast` number, since 1 + 3 + 3 + 5 + 304 + 0 + 34 + 309 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (13353040343077) and next prime (13353040343117).

It is not a de Polignac number, because 13353040343097 - 210 = 13353040342073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13353040343017) 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, 1799083 + ... + 5471999.

It is an arithmetic number, because the mean of its divisors is an integer number (259366777488).

Almost surely, 213353040343097 is an apocalyptic number.

It is an amenable number.

13353040343097 is a deficient number, since it is larger than the sum of its proper divisors (11546170295751).

13353040343097 is a wasteful number, since it uses less digits than its factorization.

13353040343097 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3673159 (or 3673156 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 45.

The spelling of 13353040343097 in words is "thirteen trillion, three hundred fifty-three billion, forty million, three hundred forty-three thousand, ninety-seven".

Divisors: 1 3 7 9 13 21 23 39 63 69 91 117 161 193 207 273 299 483 579 819 897 1351 1449 1737 2093 2509 2691 4053 4439 6279 7527 12159 13317 17563 18837 22581 31073 39951 52689 57707 93219 158067 173121 279657 403949 519363 1211847 3635541 3672917 11018751 25710419 33056253 47747921 77131257 84477091 143243763 231393771 253431273 334235447 429731289 591339637 708872981 760293819 1002706341 1098202183 1774018911 2126618943 3008119023 3294606549 4962110867 5322056733 6379856829 7687415281 9215348753 9883819647 14886332601 16304078563 23062245843 27646046259 44658997803 48912235689 64507441271 69186737529 82938138777 114128549941 146736707067 193522323813 211953021319 342385649823 580566971439 635859063957 1027156949469 1483671149233 1907577191871 4451013447699 13353040343097