Search a number
-
+
13201420114215 = 3254495931101811
BaseRepresentation
bin1100000000011011000111…
…1101001101100100100111
31201202001011122222111020200
43000012301331031210213
53212243002022123330
644024352040401543
72531525332334154
oct300066175154447
951661148874220
1013201420114215
11422a766548803
121592634a762b3
13749b72279458
14338d4897322b
1517d5ec625a60
hexc01b1f4d927

13201420114215 has 48 divisors (see below), whose sum is σ = 22972119112800. Its totient is φ = 7013223383040.

The previous prime is 13201420114199. The next prime is 13201420114231. The reversal of 13201420114215 is 51241102410231.

13201420114215 is a `hidden beast` number, since 1 + 3 + 20 + 1 + 420 + 1 + 1 + 4 + 215 = 666.

It is an interprime number because it is at equal distance from previous prime (13201420114199) and next prime (13201420114231).

It is not a de Polignac number, because 13201420114215 - 24 = 13201420114199 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11430660 + ... + 12532470.

It is an arithmetic number, because the mean of its divisors is an integer number (478585814850).

Almost surely, 213201420114215 is an apocalyptic number.

13201420114215 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13201420114215 is a deficient number, since it is larger than the sum of its proper divisors (9770698998585).

13201420114215 is a wasteful number, since it uses less digits than its factorization.

13201420114215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102864 (or 1102861 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 13201420114215 its reverse (51241102410231), we get a palindrome (64442522524446).

The spelling of 13201420114215 in words is "thirteen trillion, two hundred one billion, four hundred twenty million, one hundred fourteen thousand, two hundred fifteen".

Divisors: 1 3 5 9 15 45 449 593 1347 1779 2245 2965 4041 5337 6735 8895 20205 26685 266257 798771 1101811 1331285 2396313 3305433 3993855 5509055 9916299 11981565 16527165 49581495 494713139 653373923 1484139417 1960121769 2473565695 3266869615 4452418251 5880365307 7420697085 9800608845 22262091255 29401826535 293364891427 880094674281 1466824457135 2640284022843 4400473371405 13201420114215