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1306056030224 = 2411531011386283
BaseRepresentation
bin10011000000010111000…
…000010111100000010000
311121212011021211122220212
4103000113000113200100
5132344300320431344
62435554401223252
7163234200041231
oct23002700274020
94555137748825
101306056030224
11463993642350
12191157631b28
139621198028a
14472db9c1088
1523e9092979e
hex13017017810

1306056030224 has 80 divisors (see below), whose sum is σ = 2840462645184. Its totient is φ = 576693312000.

The previous prime is 1306056030211. The next prime is 1306056030247. The reversal of 1306056030224 is 4220306506031.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 248987 + ... + 1635269.

Almost surely, 21306056030224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1306056030224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420231322592).

1306056030224 is an abundant number, since it is smaller than the sum of its proper divisors (1534406614960).

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

1306056030224 is a wasteful number, since it uses less digits than its factorization.

1306056030224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1386456 (or 1386450 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The spelling of 1306056030224 in words is "one trillion, three hundred six billion, fifty-six million, thirty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 44 53 88 101 106 176 202 212 404 424 583 808 848 1111 1166 1616 2222 2332 4444 4664 5353 8888 9328 10706 17776 21412 42824 58883 85648 117766 235532 471064 942128 1386283 2772566 5545132 11090264 15249113 22180528 30498226 60996452 73472999 121992904 140014583 146945998 243985808 280029166 293891996 560058332 587783992 808202989 1120116664 1175567984 1540160413 1616405978 2240233328 3080320826 3232811956 6160641652 6465623912 7420772899 12321283304 12931247824 14841545798 24642566608 29683091596 59366183192 81628501889 118732366384 163257003778 326514007556 653028015112 1306056030224