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1041320200004 = 2271719257448013
BaseRepresentation
bin11110010011100111000…
…01010100011101000100
310200112211101200001220222
433021303201110131010
5114030110432400004
62114213105443512
7135142612441310
oct17116341243504
93615741601828
101041320200004
11371692118817
12149994040598
1377271a09526
14385860b2b40
151c1490cd7be
hexf273854744

1041320200004 has 96 divisors (see below), whose sum is σ = 2330246257920. Its totient is φ = 396372344832.

The previous prime is 1041320200003. The next prime is 1041320200033. The reversal of 1041320200004 is 4000020231401.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (1041320200001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2100302 + ... + 2548314.

It is an arithmetic number, because the mean of its divisors is an integer number (24273398520).

Almost surely, 21041320200004 is an apocalyptic number.

1041320200004 is a gapful number since it is divisible by the number (14) 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 1041320200004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1165123128960).

1041320200004 is an abundant number, since it is smaller than the sum of its proper divisors (1288926057916).

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

1041320200004 is a wasteful number, since it uses less digits than its factorization.

1041320200004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448317 (or 448315 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 1041320200004 its reverse (4000020231401), we get a palindrome (5041340431405).

The spelling of 1041320200004 in words is "one trillion, forty-one billion, three hundred twenty million, two hundred thousand, four".

Divisors: 1 2 4 7 14 17 19 28 34 38 68 76 119 133 238 257 266 323 476 514 532 646 1028 1292 1799 2261 3598 4369 4522 4883 7196 8738 9044 9766 17476 19532 30583 34181 61166 68362 83011 122332 136724 166022 332044 448013 581077 896026 1162154 1792052 2324308 3136091 6272182 7616221 8512247 12544364 15232442 17024494 30464884 34048988 53313547 59585729 106627094 115139341 119171458 144708199 213254188 230278682 238342916 289416398 460557364 578832796 805975387 1012957393 1611950774 1957368797 2025914786 2187647479 3223901548 3914737594 4051829572 4375294958 7829475188 8750589916 13701581579 15313532353 27403163158 30627064706 37190007143 54806326316 61254129412 74380014286 148760028572 260330050001 520660100002 1041320200004