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1041343013000 = 23531971771937
BaseRepresentation
bin11110010011101001110…
…00010110000010001000
310200112212222121002110202
433021310320112002020
5114030132302404000
62114215242431332
7135143310364433
oct17116470260210
93615788532422
101041343013000
113716a3a8a534
1214999b802548
1377276666144
143858913081a
151c14b0d7dd5
hexf274e16088

1041343013000 has 128 divisors (see below), whose sum is σ = 2601122284800. Its totient is φ = 389055744000.

The previous prime is 1041343012987. The next prime is 1041343013003. The reversal of 1041343013000 is 3103431401.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1041343013003) 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 31 ways as a sum of consecutive naturals, for example, 963032 + ... + 1734968.

It is an arithmetic number, because the mean of its divisors is an integer number (20321267850).

Almost surely, 21041343013000 is an apocalyptic number.

1041343013000 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 1041343013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300561142400).

1041343013000 is an abundant number, since it is smaller than the sum of its proper divisors (1559779271800).

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

1041343013000 is a wasteful number, since it uses less digits than its factorization.

1041343013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772048 (or 772034 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1041343013000 its reverse (3103431401), we get a palindrome (1044446444401).

The spelling of 1041343013000 in words is "one trillion, forty-one billion, three hundred forty-three million, thirteen thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 71 76 95 100 125 142 152 190 200 250 284 355 380 475 500 568 710 760 950 1000 1349 1420 1775 1900 2375 2698 2840 3550 3800 4750 5396 6745 7100 8875 9500 10792 13490 14200 17750 19000 26980 33725 35500 53960 67450 71000 134900 168625 269800 337250 674500 771937 1349000 1543874 3087748 3859685 6175496 7719370 14666803 15438740 19298425 29333606 30877480 38596850 54807527 58667212 73334015 77193700 96492125 109615054 117334424 146668030 154387400 192984250 219230108 274037635 293336060 366670075 385968500 438460216 548075270 586672120 733340150 771937000 1041343013 1096150540 1370188175 1466680300 1833350375 2082686026 2192301080 2740376350 2933360600 3666700750 4165372052 5206715065 5480752700 6850940875 7333401500 8330744104 10413430130 10961505400 13701881750 14666803000 20826860260 26033575325 27403763500 41653720520 52067150650 54807527000 104134301300 130167876625 208268602600 260335753250 520671506500 1041343013000