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10041312120 = 2335716137411
BaseRepresentation
bin10010101101000001…
…00100001101111000
3221220210111111200220
421112200210031320
5131031033441440
64340220100040
7503555513310
oct112640441570
927823444626
1010041312120
114293071464
121b42994620
13c40423308
146b3838440
153db81d8d0
hex256824378

10041312120 has 128 divisors (see below), whose sum is σ = 34453347840. Its totient is φ = 2293424640.

The previous prime is 10041312103. The next prime is 10041312161. The reversal of 10041312120 is 2121314001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10041312120.

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, 1351215 + ... + 1358625.

It is an arithmetic number, because the mean of its divisors is an integer number (269166780).

Almost surely, 210041312120 is an apocalyptic number.

10041312120 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 10041312120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17226673920).

10041312120 is an abundant number, since it is smaller than the sum of its proper divisors (24412035720).

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

10041312120 is a wasteful number, since it uses less digits than its factorization.

10041312120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9045 (or 9041 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10041312120 its reverse (2121314001), we get a palindrome (12162626121).

The spelling of 10041312120 in words is "ten billion, forty-one million, three hundred twelve 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 1613 3226 4839 6452 7411 8065 9678 11291 12904 14822 16130 19356 22233 22582 24195 29644 32260 33873 37055 38712 44466 45164 48390 51877 56455 59288 64520 67746 74110 88932 90328 96780 103754 111165 112910 135492 148220 155631 169365 177864 193560 207508 222330 225820 259385 270984 296440 311262 338730 415016 444660 451640 518770 622524 677460 778155 889320 1037540 1245048 1354920 1556310 2075080 3112620 6225240 11953943 23907886 35861829 47815772 59769715 71723658 83677601 95631544 119539430 143447316 167355202 179309145 239078860 251032803 286894632 334710404 358618290 418388005 478157720 502065606 669420808 717236580 836776010 1004131212 1255164015 1434473160 1673552020 2008262424 2510328030 3347104040 5020656060 10041312120