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1104040201301 = 172291574211993
BaseRepresentation
bin10000000100001101111…
…011001000110001010101
310220112201110102020222222
4100010031323020301111
5121042033242420201
62203104501032125
7142523100605042
oct20041573106125
93815643366888
101104040201301
11396247a03034
12159b789b5645
1380158b3402b
143b615cc41c9
151daba51791b
hex1010dec8c55

1104040201301 has 48 divisors (see below), whose sum is σ = 1224487404240. Its totient is φ = 994008637440.

The previous prime is 1104040201261. The next prime is 1104040201373. The reversal of 1104040201301 is 1031020404011.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 592491970225 + 511548231076 = 769735^2 + 715226^2 .

It is not a de Polignac number, because 1104040201301 - 214 = 1104040184917 is a prime.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1104040201301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1104040201501) 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, 553957961 + ... + 553959953.

It is an arithmetic number, because the mean of its divisors is an integer number (25510154255).

Almost surely, 21104040201301 is an apocalyptic number.

It is an amenable number.

1104040201301 is a deficient number, since it is larger than the sum of its proper divisors (120447202939).

1104040201301 is a wasteful number, since it uses less digits than its factorization.

1104040201301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2634 (or 2617 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 1104040201301 its reverse (1031020404011), we get a palindrome (2135060605312).

The spelling of 1104040201301 in words is "one trillion, one hundred four billion, forty million, two hundred one thousand, three hundred one".

Divisors: 1 17 29 157 289 421 493 1993 2669 4553 7157 8381 12209 33881 45373 57797 66097 77401 121669 207553 312901 575977 839053 982549 1123649 1315817 1916813 3528401 5319317 9074129 14263901 16703333 19102033 24332537 32585821 90428389 131731321 154260193 242486317 413653129 553958957 2239432457 2622423281 3820208309 7032103193 38070351769 64943541253 1104040201301