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1001004104320 = 27511142188083
BaseRepresentation
bin11101001000100000111…
…11100111101010000000
310112200202200211012122221
432210100133213222000
5112400024022314240
62043504355540424
7132214546332613
oct16442037475200
93480680735587
101001004104320
113565837a2380
121420022ba714
1373518311bcc
143663d94217a
151b0899a8a4a
hexe9107e7a80

1001004104320 has 64 divisors (see below), whose sum is σ = 2610573222240. Its totient is φ = 364001489920.

The previous prime is 1001004104263. The next prime is 1001004104323. The reversal of 1001004104320 is 234014001001.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1001004104294 and 1001004104303.

It is not an unprimeable number, because it can be changed into a prime (1001004104323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71087002 + ... + 71101081.

Almost surely, 21001004104320 is an apocalyptic number.

1001004104320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001004104320 is an abundant number, since it is smaller than the sum of its proper divisors (1609569117920).

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

1001004104320 is a wasteful number, since it uses less digits than its factorization.

1001004104320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142188113 (or 142188101 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 1001004104320 its reverse (234014001001), we get a palindrome (1235018105321).

The spelling of 1001004104320 in words is "one trillion, one billion, four million, one hundred four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 3520 7040 142188083 284376166 568752332 710940415 1137504664 1421880830 1564068913 2275009328 2843761660 3128137826 4550018656 5687523320 6256275652 7820344565 9100037312 11375046640 12512551304 15640689130 18200074624 22750093280 25025102608 31281378260 45500186560 50050205216 62562756520 91000373120 100100410432 125125513040 200200820864 250251026080 500502052160 1001004104320