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13140400203 = 357103179419
BaseRepresentation
bin11000011110011101…
…01001100001001011
31020220202222111100000
430033032221201023
5203402420301303
610011524214043
7643426362450
oct141716514113
936822874300
1013140400203
115633460187
12266883a323
1313154bc248
148c9275827
1551d936da3
hex30f3a984b

13140400203 has 96 divisors (see below), whose sum is σ = 22895308800. Its totient is φ = 7376710176.

The previous prime is 13140400199. The next prime is 13140400219. The reversal of 13140400203 is 30200404131.

13140400203 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13140400203 - 22 = 13140400199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13140400003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31361128 + ... + 31361546.

It is an arithmetic number, because the mean of its divisors is an integer number (238492800).

Almost surely, 213140400203 is an apocalyptic number.

13140400203 is a deficient number, since it is larger than the sum of its proper divisors (9754908597).

13140400203 is a wasteful number, since it uses less digits than its factorization.

13140400203 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 13140400203 its reverse (30200404131), we get a palindrome (43340804334).

The spelling of 13140400203 in words is "thirteen billion, one hundred forty million, four hundred thousand, two hundred three".

Divisors: 1 3 7 9 21 27 63 81 103 179 189 243 309 419 537 567 721 927 1253 1257 1611 1701 2163 2781 2933 3759 3771 4833 6489 8343 8799 11277 11313 14499 18437 19467 25029 26397 33831 33939 43157 43497 55311 58401 75001 79191 101493 101817 129059 129471 165933 175203 225003 237573 302099 304479 387177 388413 497799 525007 675009 712719 906297 1161531 1165239 1493397 1575021 2025027 2718891 3484593 3495717 4480191 4725063 6075081 7725103 8156673 10453779 10487151 14175189 18225243 23175309 24470019 31361337 42525567 54075721 69525927 73410057 127576701 162227163 208577781 486681489 625733343 1460044467 1877200029 4380133401 13140400203