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13132220404430 = 25191373175692797
BaseRepresentation
bin1011111100011001010101…
…0101010001001011001110
31201111102120000112000011102
42333012111111101023032
53210124241410420210
643532505254423102
72523525443450141
oct277062525211316
951442500460142
1013132220404430
114203386075606
121581142061a92
13743494886b0a
14335862360058
1517b8ec3e7ea5
hexbf1955512ce

13132220404430 has 128 divisors (see below), whose sum is σ = 25195981046400. Its totient is φ = 4914100002816.

The previous prime is 13132220404421. The next prime is 13132220404439. The reversal of 13132220404430 is 3440402223131.

It is an interprime number because it is at equal distance from previous prime (13132220404421) and next prime (13132220404439).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13132220404393 and 13132220404402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13132220404439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4695107792 + ... + 4695110588.

It is an arithmetic number, because the mean of its divisors is an integer number (196843601925).

Almost surely, 213132220404430 is an apocalyptic number.

13132220404430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13132220404430 is a deficient number, since it is larger than the sum of its proper divisors (12063760641970).

13132220404430 is a wasteful number, since it uses less digits than its factorization.

13132220404430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3846.

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 13132220404430 its reverse (3440402223131), we get a palindrome (16572622627561).

The spelling of 13132220404430 in words is "thirteen trillion, one hundred thirty-two billion, two hundred twenty million, four hundred four thousand, four hundred thirty".

Divisors: 1 2 5 10 19 38 95 137 190 274 317 569 634 685 1138 1370 1585 2603 2797 2845 3170 5206 5594 5690 6023 10811 12046 13015 13985 21622 26030 27970 30115 43429 53143 54055 60230 77953 86858 106286 108110 155906 180373 217145 265715 360746 383189 389765 434290 531430 766378 779530 825151 886649 901865 1481107 1591493 1650302 1773298 1803730 1915945 2962214 3182986 3427087 3831890 4125755 4433245 6854174 7280591 7405535 7957465 8251510 8866490 14561182 14811070 15914930 16846331 17135435 24711101 30238367 33692662 34270870 36402955 49422202 60476734 72805910 84231655 121470913 123555505 151191835 168463310 218034541 242941826 247111010 302383670 436069082 469510919 504503281 607354565 939021838 1009006562 1090172705 1214709130 2180345410 2307947347 2347554595 2522516405 4142656279 4615894694 4695109190 5045032810 8285312558 9585562339 11539736735 19171124678 20713281395 23079473470 41426562790 47927811695 69116949497 95855623390 138233898994 345584747485 691169494970 1313222040443 2626444080886 6566110202215 13132220404430