Search a number
-
+
10041354120 = 2335714878039
BaseRepresentation
bin10010101101000001…
…01110011110001000
3221220210120122022110
421112200232132020
5131031041312440
64340221022320
7503556046620
oct112640563610
927823518273
1010041354120
11429309aa76
121b429b49a0
13c40439475
146b3849880
153db82b080
hex25682e788

10041354120 has 128 divisors (see below), whose sum is σ = 34454937600. Its totient is φ = 2293337856.

The previous prime is 10041354107. The next prime is 10041354121. The reversal of 10041354120 is 2145314001.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (10041354121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1245061 + ... + 1253099.

It is an arithmetic number, because the mean of its divisors is an integer number (269179200).

Almost surely, 210041354120 is an apocalyptic number.

10041354120 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 10041354120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17227468800).

10041354120 is an abundant number, since it is smaller than the sum of its proper divisors (24413583480).

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

10041354120 is a wasteful number, since it uses less digits than its factorization.

10041354120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9547 (or 9543 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 10041354120 its reverse (2145314001), we get a palindrome (12186668121).

The spelling of 10041354120 in words is "ten billion, forty-one million, three hundred fifty-four 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 1487 2974 4461 5948 7435 8039 8922 10409 11896 14870 16078 17844 20818 22305 24117 29740 31227 32156 35688 40195 41636 44610 48234 52045 56273 59480 62454 64312 80390 83272 89220 96468 104090 112546 120585 124908 156135 160780 168819 178440 192936 208180 225092 241170 249816 281365 312270 321560 337638 416360 450184 482340 562730 624540 675276 844095 964680 1125460 1249080 1350552 1688190 2250920 3376380 6752760 11953993 23907986 35861979 47815972 59769965 71723958 83677951 95631944 119539930 143447916 167355902 179309895 239079860 251033853 286895832 334711804 358619790 418389755 478159720 502067706 669423608 717239580 836779510 1004135412 1255169265 1434479160 1673559020 2008270824 2510338530 3347118040 5020677060 10041354120