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13134122430 = 235111322313729
BaseRepresentation
bin11000011101101101…
…01100110110111110
31020220100011112211220
430032312230312332
5203344313404210
610011141454210
7643322125062
oct141666546676
936810145756
1013134122430
11562a962640
122666711366
1313141019a0
148c84bdaa2
1551d0e6c70
hex30edacdbe

13134122430 has 128 divisors (see below), whose sum is σ = 37201489920. Its totient is φ = 2925711360.

The previous prime is 13134122387. The next prime is 13134122453. The reversal of 13134122430 is 3422143131.

It is a happy number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13134122430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 949806 + ... + 963534.

It is an arithmetic number, because the mean of its divisors is an integer number (290636640).

Almost surely, 213134122430 is an apocalyptic number.

13134122430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13134122430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18600744960).

13134122430 is an abundant number, since it is smaller than the sum of its proper divisors (24067367490).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13134122430 is a wasteful number, since it uses less digits than its factorization.

13134122430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13986.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13134122430 its reverse (3422143131), we get a palindrome (16556265561).

The spelling of 13134122430 in words is "thirteen billion, one hundred thirty-four million, one hundred twenty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 33 39 55 65 66 78 110 130 143 165 195 223 286 330 390 429 446 669 715 858 1115 1338 1430 2145 2230 2453 2899 3345 4290 4906 5798 6690 7359 8697 12265 13729 14495 14718 17394 24530 27458 28990 31889 36795 41187 43485 63778 68645 73590 82374 86970 95667 137290 151019 159445 178477 191334 205935 302038 318890 356954 411870 453057 478335 535431 755095 892385 906114 956670 1070862 1510190 1784770 1963247 2265285 2677155 3061567 3926494 4530570 5354310 5889741 6123134 9184701 9816235 11779482 15307835 18369402 19632470 29448705 30615670 33677237 39800371 45923505 58897410 67354474 79600742 91847010 101031711 119401113 168386185 199001855 202063422 238802226 336772370 398003710 437804081 505158555 597005565 875608162 1010317110 1194011130 1313412243 2189020405 2626824486 4378040810 6567061215 13134122430