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1004110122441 = 331127716015281
BaseRepresentation
bin11101001110010011010…
…00001000110111001001
310112222210011100021112010
432213021220020313021
5112422404142404231
62045140512410133
7132354533134206
oct16471150106711
93488704307463
101004110122441
11357927a947a8
1214272a546949
13738c196625a
1436856264cad
151b1bc4e0546
hexe9c9a08dc9

1004110122441 has 32 divisors (see below), whose sum is σ = 1384209202176. Its totient is φ = 646778880000.

The previous prime is 1004110122437. The next prime is 1004110122443. The reversal of 1004110122441 is 1442210114001.

It is not a de Polignac number, because 1004110122441 - 22 = 1004110122437 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1004110122443) 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, 190133721 + ... + 190139001.

It is an arithmetic number, because the mean of its divisors is an integer number (43256537568).

Almost surely, 21004110122441 is an apocalyptic number.

It is an amenable number.

1004110122441 is a deficient number, since it is larger than the sum of its proper divisors (380099079735).

1004110122441 is a wasteful number, since it uses less digits than its factorization.

1004110122441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8193.

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 1004110122441 its reverse (1442210114001), we get a palindrome (2446320236442).

The spelling of 1004110122441 in words is "one trillion, four billion, one hundred ten million, one hundred twenty-two thousand, four hundred forty-one".

Divisors: 1 3 31 93 1277 1601 3831 4803 5281 15843 39587 49631 118761 148893 163711 491133 2044477 6133431 6743837 8454881 20231511 25364643 63378787 190136361 209058947 262101311 627176841 786303933 10796883037 32390649111 334703374147 1004110122441