Search a number
-
+
13040433103203 = 32112943895111801
BaseRepresentation
bin1011110111000011011001…
…1000100000000101100011
31201011122122012111222200100
42331300312120200011203
53202123301333300303
643422405310153443
72514066042325632
oct275606630400543
951148565458610
1013040433103203
114178464583670
1215673a67b2883
1373792769c85c
14331235d33519
151793291c08a3
hexbdc36620163

13040433103203 has 96 divisors (see below), whose sum is σ = 21755757703680. Its totient is φ = 7451841600000.

The previous prime is 13040433103189. The next prime is 13040433103207. The reversal of 13040433103203 is 30230133404031.

13040433103203 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 0 + 4 + 331 + 0 + 320 + 3 = 666.

It is not a de Polignac number, because 13040433103203 - 28 = 13040433102947 is a prime.

It is a super-2 number, since 2×130404331032032 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13040433103207) 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, 1105021903 + ... + 1105033703.

It is an arithmetic number, because the mean of its divisors is an integer number (226622476080).

Almost surely, 213040433103203 is an apocalyptic number.

13040433103203 is a deficient number, since it is larger than the sum of its proper divisors (8715324600477).

13040433103203 is a wasteful number, since it uses less digits than its factorization.

13040433103203 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20841 (or 20838 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 13040433103203 its reverse (30230133404031), we get a palindrome (43270566507234).

The spelling of 13040433103203 in words is "thirteen trillion, forty billion, four hundred thirty-three million, one hundred three thousand, two hundred three".

Divisors: 1 3 9 11 29 33 43 87 99 129 261 319 387 473 957 1247 1419 2871 3741 4257 8951 11223 11801 13717 26853 35403 41151 80559 98461 106209 123453 129811 259579 295383 342229 384893 389433 507443 778737 886149 1026687 1154679 1168299 1522329 2336211 2855369 3080061 3464037 3764519 4233823 4566987 5581873 8566107 11161897 11293557 12701469 14715847 16745619 25698321 33485691 33880671 38104407 44147541 50236857 100457073 105630751 122780867 132442623 161874317 316892253 368342601 485622951 950676759 1105027803 1161938261 1456868853 3063291779 3485814783 4542122293 9189875337 10457444349 13626366879 27569626011 33696209569 40879100637 49963345223 101088628707 131721546497 149890035669 303265886121 395164639491 449670107007 1185493918473 1448937011467 4346811034401 13040433103203