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1004240120401 = 71929983264871
BaseRepresentation
bin11101001110100010110…
…00000010101001010001
310120000010012221212012101
432213101120002221101
5112423140432323101
62045201435000401
7132361002116050
oct16472130025121
93500105855171
101004240120401
11357994405131
12142765b99101
1373912880b1b
1436869624397
151b1c8b1d401
hexe9d1602a51

1004240120401 has 32 divisors (see below), whose sum is σ = 1251043430400. Its totient is φ = 786549476160.

The previous prime is 1004240120399. The next prime is 1004240120417. The reversal of 1004240120401 is 1040210424001.

It is not a de Polignac number, because 1004240120401 - 21 = 1004240120399 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1004240120701) 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, 3658996 + ... + 3923866.

It is an arithmetic number, because the mean of its divisors is an integer number (39095107200).

Almost surely, 21004240120401 is an apocalyptic number.

It is an amenable number.

1004240120401 is a deficient number, since it is larger than the sum of its proper divisors (246803309999).

1004240120401 is a wasteful number, since it uses less digits than its factorization.

1004240120401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265909.

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 1004240120401 its reverse (1040210424001), we get a palindrome (2044450544402).

The spelling of 1004240120401 in words is "one trillion, four billion, two hundred forty million, one hundred twenty thousand, four hundred one".

Divisors: 1 7 19 29 133 203 551 983 3857 6881 18677 28507 130739 199549 264871 541633 1854097 3791431 5032549 7681259 35227843 53768813 145943921 260368193 1021607447 1822577351 4946995667 7550677597 34628969669 52854743179 143462874343 1004240120401