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13134404210103 = 3311177136639257
BaseRepresentation
bin1011111100100001011101…
…1111110100110110110111
31201111122012012201211101000
42333020113133310312313
53210143224434210403
643533510105134343
72523633531500421
oct277102737646667
951448165654330
1013134404210103
1142042a6844090
12158165148a3b3
13743752138317
143359cc3c3811
1517b9c8eb67a3
hexbf2177f4db7

13134404210103 has 64 divisors (see below), whose sum is σ = 22792549616640. Its totient is φ = 7386474009600.

The previous prime is 13134404210101. The next prime is 13134404210113. The reversal of 13134404210103 is 30101240443131.

13134404210103 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 440 + 4 + 210 + 1 + 0 + 3 = 666.

It is not a de Polignac number, because 13134404210103 - 21 = 13134404210101 is a prime.

It is a super-2 number, since 2×131344042101032 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13134404210101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17961150 + ... + 18678107.

It is an arithmetic number, because the mean of its divisors is an integer number (356133587760).

Almost surely, 213134404210103 is an apocalyptic number.

13134404210103 is a deficient number, since it is larger than the sum of its proper divisors (9658145406537).

13134404210103 is a wasteful number, since it uses less digits than its factorization.

13134404210103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36639365 (or 36639359 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 13134404210103 its reverse (30101240443131), we get a palindrome (43235644653234).

The spelling of 13134404210103 in words is "thirteen trillion, one hundred thirty-four billion, four hundred four million, two hundred ten thousand, one hundred three".

Divisors: 1 3 9 11 17 27 33 51 71 99 153 187 213 297 459 561 639 781 1207 1683 1917 2343 3621 5049 7029 10863 13277 21087 32589 39831 119493 358479 36639257 109917771 329753313 403031827 622867369 989259939 1209095481 1868602107 2601387247 3627286443 5605806321 6851541059 7804161741 10881859329 16817418963 20554623177 23412485223 28615259717 44223583199 61663869531 70237455669 85845779151 132670749597 184991608593 257537337453 398012248791 486459415189 772612012359 1194036746373 1459378245567 4378134736701 13134404210103