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1003001024034 = 23264786124079
BaseRepresentation
bin11101001100001111000…
…01010000111000100010
310112212220212101020112100
432212013201100320202
5112413121230232114
62044434452511230
7132315205015152
oct16460741207042
93485825336470
101003001024034
11357408a25749
1214247b01b516
1373775c4b1c9
143678cc38762
151b154e5d909
hexe987850e22

1003001024034 has 24 divisors (see below), whose sum is σ = 2176527749760. Its totient is φ = 333816926328.

The previous prime is 1003001023951. The next prime is 1003001024099. The reversal of 1003001024034 is 4304201003001.

It is a super-2 number, since 2×10030010240342 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1003001023998 and 1003001024016.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 43050394 + ... + 43073685.

It is an arithmetic number, because the mean of its divisors is an integer number (90688656240).

Almost surely, 21003001024034 is an apocalyptic number.

1003001024034 is an abundant number, since it is smaller than the sum of its proper divisors (1173526725726).

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

1003001024034 is a wasteful number, since it uses less digits than its factorization.

1003001024034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86124734 (or 86124731 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 1003001024034 its reverse (4304201003001), we get a palindrome (5307202027035).

The spelling of 1003001024034 in words is "one trillion, three billion, one million, twenty-four thousand, thirty-four".

Divisors: 1 2 3 6 9 18 647 1294 1941 3882 5823 11646 86124079 172248158 258372237 516744474 775116711 1550233422 55722279113 111444558226 167166837339 334333674678 501500512017 1003001024034