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10745442120 = 2335717217433
BaseRepresentation
bin10100000000111101…
…00110111101001000
31000201212110000110210
422000132212331020
5134001313121440
64534132041120
7530165515410
oct120036467510
930655400423
1010745442120
114614581786
1220ba7631a0
13102327a49a
1473d169640
1542d559a80
hex2807a6f48

10745442120 has 128 divisors (see below), whose sum is σ = 36867882240. Its totient is φ = 2454343680.

The previous prime is 10745442119. The next prime is 10745442131. The reversal of 10745442120 is 2124454701.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 1441924 + ... + 1449356.

It is an arithmetic number, because the mean of its divisors is an integer number (288030330).

Almost surely, 210745442120 is an apocalyptic number.

10745442120 is a gapful number since it is divisible by the number (10) 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 10745442120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18433941120).

10745442120 is an abundant number, since it is smaller than the sum of its proper divisors (26122440120).

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

10745442120 is a wasteful number, since it uses less digits than its factorization.

10745442120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9175 (or 9171 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

Adding to 10745442120 its reverse (2124454701), we get a palindrome (12869896821).

The spelling of 10745442120 in words is "ten billion, seven hundred forty-five million, four hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 1721 3442 5163 6884 7433 8605 10326 12047 13768 14866 17210 20652 22299 24094 25815 29732 34420 36141 37165 41304 44598 48188 51630 52031 59464 60235 68840 72282 74330 89196 96376 103260 104062 111495 120470 144564 148660 156093 178392 180705 206520 208124 222990 240940 260155 289128 297320 312186 361410 416248 445980 481880 520310 624372 722820 780465 891960 1040620 1248744 1445640 1560930 2081240 3121860 6243720 12792193 25584386 38376579 51168772 63960965 76753158 89545351 102337544 127921930 153506316 179090702 191882895 255843860 268636053 307012632 358181404 383765790 447726755 511687720 537272106 716362808 767531580 895453510 1074544212 1343180265 1535063160 1790907020 2149088424 2686360530 3581814040 5372721060 10745442120