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1003302986712 = 2331359197927541
BaseRepresentation
bin11101001100110011000…
…01001010001111011000
310112220200220120112110020
432212121201022033120
5112414231031033322
62044524440550440
7132325532450625
oct16463141121730
93486626515406
101003302986712
1135755341a784
12142544182420
13737c3685450
14367bad9d34c
151b17170905c
hexe99984a3d8

1003302986712 has 128 divisors (see below), whose sum is σ = 2748471264000. Its totient is φ = 303311900160.

The previous prime is 1003302986687. The next prime is 1003302986779. The reversal of 1003302986712 is 2176892033001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36415662 + ... + 36443202.

It is an arithmetic number, because the mean of its divisors is an integer number (21472431750).

Almost surely, 21003302986712 is an apocalyptic number.

1003302986712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1003302986712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374235632000).

1003302986712 is an abundant number, since it is smaller than the sum of its proper divisors (1745168277288).

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

1003302986712 is a wasteful number, since it uses less digits than its factorization.

1003302986712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29601 (or 29597 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 1003302986712 in words is "one trillion, three billion, three hundred two million, nine hundred eighty-six thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 59 78 104 118 156 177 236 312 354 472 708 767 1416 1534 1979 2301 3068 3958 4602 5937 6136 7916 9204 11874 15832 18408 23748 25727 27541 47496 51454 55082 77181 82623 102908 110164 116761 154362 165246 205816 220328 233522 308724 330492 350283 358033 467044 617448 660984 700566 716066 934088 1074099 1401132 1432132 1517893 1624919 2148198 2802264 2864264 3035786 3249838 4296396 4553679 4874757 6071572 6499676 8592792 9107358 9749514 12143144 12999352 18214716 19499028 21123947 36429432 38998056 42247894 54503639 63371841 84495788 109007278 126743682 163510917 168991576 218014556 253487364 327021834 436029112 506974728 654043668 708547307 1308087336 1417094614 2125641921 2834189228 3215714701 4251283842 5668378456 6431429402 8502567684 9647144103 12862858804 17005135368 19294288206 25725717608 38588576412 41804291113 77177152824 83608582226 125412873339 167217164452 250825746678 334434328904 501651493356 1003302986712