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1004132210430 = 235373323272231
BaseRepresentation
bin11101001110010101111…
…00011001011011111110
310112222211200220110112210
432213022330121123332
5112422430321213210
62045143022041250
7132355221650526
oct16471274313376
93488750813483
101004132210430
11357939500838
12142735a19226
13738c63cab7b
1436859174686
151b1be404e20
hexe9caf196fe

1004132210430 has 64 divisors (see below), whose sum is σ = 2475804123648. Its totient is φ = 260452241280.

The previous prime is 1004132210401. The next prime is 1004132210479. The reversal of 1004132210430 is 340122314001.

It is a junction number, because it is equal to n+sod(n) for n = 1004132210397 and 1004132210406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3552415 + ... + 3824645.

It is an arithmetic number, because the mean of its divisors is an integer number (38684439432).

Almost surely, 21004132210430 is an apocalyptic number.

1004132210430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1004132210430 is an abundant number, since it is smaller than the sum of its proper divisors (1471671913218).

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

1004132210430 is a wasteful number, since it uses less digits than its factorization.

1004132210430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275601.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 1004132210430 its reverse (340122314001), we get a palindrome (1344254524431).

The spelling of 1004132210430 in words is "one trillion, four billion, one hundred thirty-two million, two hundred ten thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 370 555 1110 3323 6646 9969 16615 19938 33230 49845 99690 122951 245902 272231 368853 544462 614755 737706 816693 1229510 1361155 1633386 1844265 2722310 3688530 4083465 8166930 10072547 20145094 30217641 50362735 60435282 100725470 151088205 302176410 904623613 1809247226 2713870839 4523118065 5427741678 9046236130 13569354195 27138708390 33471073681 66942147362 100413221043 167355368405 200826442086 334710736810 502066105215 1004132210430