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1130001340300 = 225274159965731
BaseRepresentation
bin10000011100011001010…
…101000001011110001100
311000000201201212202122121
4100130121111001132030
5122003220320342200
62223040534222324
7144432325624660
oct20343125013614
94000651782577
101130001340300
113a625a330008
121630031b49a4
138273551c441
143c999b808a0
151e5d9791e1a
hex1071954178c

1130001340300 has 144 divisors (see below), whose sum is σ = 2875590950400. Its totient is φ = 377342784000.

The previous prime is 1130001340271. The next prime is 1130001340301. The reversal of 1130001340300 is 30431000311.

It is not an unprimeable number, because it can be changed into a prime (1130001340301) 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 47 ways as a sum of consecutive naturals, for example, 17158435 + ... + 17224165.

It is an arithmetic number, because the mean of its divisors is an integer number (19969381600).

Almost surely, 21130001340300 is an apocalyptic number.

1130001340300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1130001340300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437795475200).

1130001340300 is an abundant number, since it is smaller than the sum of its proper divisors (1745589610100).

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

1130001340300 is a wasteful number, since it uses less digits than its factorization.

1130001340300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66392 (or 66385 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 1130001340300 its reverse (30431000311), we get a palindrome (1160432340611).

The spelling of 1130001340300 in words is "one trillion, one hundred thirty billion, one million, three hundred forty thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 41 50 70 82 100 140 164 175 205 287 350 410 574 599 700 820 1025 1148 1198 1435 2050 2396 2870 2995 4100 4193 5740 5990 7175 8386 11980 14350 14975 16772 20965 24559 28700 29950 41930 49118 59900 65731 83860 98236 104825 122795 131462 171913 209650 245590 262924 328655 343826 419300 460117 491180 613975 657310 687652 859565 920234 1227950 1314620 1643275 1719130 1840468 2300585 2455900 2694971 3286550 3438260 4297825 4601170 5389942 6573100 8595650 9202340 10779884 11502925 13474855 17191300 18864797 23005850 26949710 37729594 39372869 46011700 53899420 67374275 75459188 78745738 94323985 134748550 157491476 188647970 196864345 269497100 275610083 377295940 393728690 471619925 551220166 787457380 943239850 984321725 1102440332 1378050415 1614287629 1886479700 1968643450 2756100830 3228575258 3937286900 5512201660 6457150516 6890252075 8071438145 11300013403 13780504150 16142876290 22600026806 27561008300 32285752580 40357190725 45200053612 56500067015 80714381450 113000134030 161428762900 226000268060 282500335075 565000670150 1130001340300