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1003701040341 = 32371631324689
BaseRepresentation
bin11101001101100010011…
…11100111010011010101
310112221201122120202101020
432212301033213103111
5112421034431242331
62045032140351353
7132341435035056
oct16466117472325
93487648522336
101003701040341
1135773808631a
12142635545559
1373857c94b3c
1436817bb872d
151b196635c96
hexe9b13e74d5

1003701040341 has 32 divisors (see below), whose sum is σ = 1418370600960. Its totient is φ = 630024595200.

The previous prime is 1003701040327. The next prime is 1003701040369. The reversal of 1003701040341 is 1430401073001.

It is not a de Polignac number, because 1003701040341 - 226 = 1003633931477 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003701042341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2928925 + ... + 3253613.

It is an arithmetic number, because the mean of its divisors is an integer number (44324081280).

Almost surely, 21003701040341 is an apocalyptic number.

It is an amenable number.

1003701040341 is a deficient number, since it is larger than the sum of its proper divisors (414669560619).

1003701040341 is a wasteful number, since it uses less digits than its factorization.

1003701040341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325417.

The product of its (nonzero) digits is 1008, while the sum is 24.

The spelling of 1003701040341 in words is "one trillion, three billion, seven hundred one million, forty thousand, three hundred forty-one".

Divisors: 1 3 23 69 71 213 631 1633 1893 4899 14513 43539 44801 134403 324689 974067 1030423 3091269 7467847 22403541 23052919 69158757 204878759 530217137 614636277 1590651411 4712211457 14136634371 14546391889 43639175667 334567013447 1003701040341