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13134322311110 = 25711133010943579
BaseRepresentation
bin1011111100100001001010…
…0111011001111111000110
31201111121222111121221001222
42333020102213121333012
53210143043002423420
643533454021520342
72523631515405020
oct277102247317706
951447874557058
1013134322311110
114204264596170
121581629b730b2
1374373b191790
143359c1585010
1517b9c1bda225
hexbf2129d9fc6

13134322311110 has 128 divisors (see below), whose sum is σ = 31744592409600. Its totient is φ = 3778693701120.

The previous prime is 13134322311083. The next prime is 13134322311119. The reversal of 13134322311110 is 1111322343131.

It is a Harshad number since it is a multiple of its sum of digits (26).

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 13134322311110.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13134322311119) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 301369301 + ... + 301412879.

It is an arithmetic number, because the mean of its divisors is an integer number (248004628200).

Almost surely, 213134322311110 is an apocalyptic number.

13134322311110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13134322311110 is an abundant number, since it is smaller than the sum of its proper divisors (18610270098490).

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

13134322311110 is a wasteful number, since it uses less digits than its factorization.

13134322311110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73726.

The product of its (nonzero) digits is 1296, while the sum is 26.

Adding to 13134322311110 its reverse (1111322343131), we get a palindrome (14245644654241).

The spelling of 13134322311110 in words is "thirteen trillion, one hundred thirty-four billion, three hundred twenty-two million, three hundred eleven thousand, one hundred ten".

Divisors: 1 2 5 7 10 11 13 14 22 26 35 55 65 70 77 91 110 130 143 154 182 286 385 455 715 770 910 1001 1430 2002 5005 10010 30109 43579 60218 87158 150545 210763 217895 301090 305053 331199 391417 421526 435790 479369 566527 610106 662398 782834 958738 1053815 1133054 1525265 1655995 1957085 2107630 2318393 2396845 2739919 2832635 3050530 3311990 3355583 3914170 3965689 4305587 4636786 4793690 5479838 5665270 6231797 6711166 7931378 8611174 11591965 12463594 13699595 16777915 19828445 21527935 23183930 27399190 30139109 31158985 33555830 39656890 43055870 43622579 60278218 62317970 87245158 150695545 218112895 301391090 436225790 1312120111 2624240222 6560600555 9184840777 13121201110 14433321221 17057561443 18369681554 28866642442 34115122886 45924203885 72166606105 85287807215 91848407770 101033248547 119402930101 144333212210 170575614430 187633175873 202066497094 238805860202 375266351746 505166242735 597014650505 938165879365 1010332485470 1194029301010 1313432231111 1876331758730 2626864462222 6567161155555 13134322311110